Three side lengths of 6,8 and 15 units will form a triangle

Answers

Answer 1

Answer:

The area would be 360 because 8 x 6 x 15 = 720 divided by 2 = 360


Related Questions

My friend Vreel has less than 19 pisquets and more than 8 pisquets
Write an inequality that shows the possible amounts of pisquets. Use
x for pisquets.

Answers

The inequality that shows the possible amounts of pisquets is 8 < x < 19

How to determine the inequality that shows the possible amounts of pisquets

From the question, we have the following parameters that can be used in our computation:

My friend Vreel has less than 19 pisquets and more than 8 pisquets

Using x for Pisquets, we have:

x < 19 and x > 8

When the inequality is combined, we have

8 < x < 19

Hence, the inequality is 8 < x < 19

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Solve for x.

7-3x/2 = 8

x = [?]

Answers

Answer:  

x = -3

Step-by-step explanation:

I did this before

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the most accurate rate of speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour
46 miles per hour
47 miles per hour
48 miles per hour

Answers

48 miles per hour is the most accurate rate of speed Morris is traveling

What is Unit of measurement?

A measurement unit is a standard quantity used to express a physical quantity.

Given that Aneesha's speed is 50 miles per hour.

We need to convert to feet per second.

By given 1 mile = 5,280 feet

50×5280=264000 feet

Now divide by 36000

264000/36000

73.33 feet/second is the Aneeshas speed.

Morris is traveling 3 feet per second less than Aneesha, so his speed is:

73.33 - 3 = 70.33 feet/second

70.33× 3600  = 253,188 feet/hour

253,188 ÷ 5280  = 48 miles/hour

Hence,  Morris is traveling at a speed of 48 miles per hour.

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Please Helppppp I dont understandddd

Answers

To find out how much black cord the design needs, we must find the perimeter of the figures. In this case, it would be: 107.42ft

How to find the perimeter of figures?

To find the perimeter of four-sided figures, we just have to add the length of their sides as shown below:

16ft + 16ft + 10ft + 10ft = 52ft7ft + 7ft + 7ft + 7ft = 28ft

To find the area of the triangle we must add its sides, in this case it is a triangle that has all the sides equal so it would be like this:

2ft + 2ft + 2ft = 6ft

Finally, the perimeter of the circle is calculated by multiplying 2 * number pi * radius. So the operation would look like this:

2*3.14*1.5=9.42ft

Now all that remains is to add all the sides and we will know how much black cord we need

9.42ft + 24ft + 28ft + 52ft = 107.42ft

Additionally, the area of the figures is calculated as follows:

Rectangle:

16ft*10ft=160ft

Square:

7ft*7ft=49ft

Triangle:

1.73ft * 2ft / 2 = 1.73ft1.73*4=6.92ft

Circle:

3.14*1.5²=7.06ft

To find the area shown for each figure, simply subtract the area of the superimposed figure as shown below:

160ft - 49ft = 11ft49ft - 8ft - 6.92ft = 34.08ft

Finally, to know how many yards of fabric we need for each figure, we must take into account that one square foot is equal to 0.11 square yards, so we will have to multiply these values as shown below:

160ft * 0.11 = 17.6 = 18 yards49ft * 0.11 = 5.39 = 6 yards6.92ft * 0.11 = 0.76 = 1 yard7.06ft * 0.11 = 0.77 = 1 yard

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How to convert microgram to mg?

Answers

To convert micrograms (μg) to milligrams (mg), you can divide the number of micrograms by 1000. So, the formula for converting micrograms to milligrams is: mg = μg / 1000.

To convert micrograms to milligrams, divide the number of micrograms by 1000. This is because there are 1000 micrograms in 1 milligram. For example, if you have a measurement of 5000 micrograms and you want to convert it to milligrams, you would divide 5000 by 1000 to get 5 milligrams. This conversion is useful in many fields, including medicine, where medication dosages are often measured in milligrams, and scientific research, where precise measurements of small amounts of substances are necessary.

For example, let's say you have a measurement of 5000 micrograms and you want to convert it to milligrams:

mg = 5000 μg / 1000

mg = 5 mg

Therefore, 5000 micrograms is equal to 5 milligrams.

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If tan A=7/12, what is cos A?

Answers

Given that tan(A) = 7/12, we can use the relationship between the tangent and cosine functions to find the value of cos(A).

tan(A) = sin(A) / cos(A)

So, dividing both sides by tan(A), we get:

tan(A) = sin(A) / cos(A)
=> cos(A) = sin(A) / tan(A)
=> cos(A) = 1 / (sqrt(1 + tan^2(A)))

Plugging in the value of tan(A) = 7/12:

cos(A) = 1 / (sqrt(1 + (7/12)^2))
=> cos(A) = 1 / (sqrt(1 + 49/144))
=> cos(A) = 1 / (sqrt(196/144))
=> cos(A) = 1 / (sqrt(196/144))
=> cos(A) = 1 / (sqrt(4/3))
=> cos(A) = sqrt(3/4)

So, cos(A) = sqrt(3/4).

What's the length of the hypotenuse of right ΔDEF shown?
Question 13 options:
A)
√87
B)

12

C)

15

D)

√117

Answers

Answer: √177

Step-by-step explanation:

6²+9²=c²

36+81=c²

117=c²

√117=√c²

√177 = c

(√177 can also be watered down to ±3√13 but √177 is one of the answer choices so yeah)

Determine the future value of a simple interest investment where 5% interest paid monthly for
1.5 years on $1000.

Answers

Answer:

Step-by-step explanation:

The simple interest formula is given by I = Prt, where P is the principal amount, r is the interest rate (per compounding period), and t is the time in years.

In this case, the interest rate is 5% per month, so we need to convert it to the equivalent annual interest rate, given by r = (0.05 x 12) = 0.6 (since there are 12 months in a year).

The time is 1.5 years, so t = 1.5.

So, the simple interest is:

I = Prt = 1000 x 0.6 x 1.5 = 900

The future value of the investment is the principal amount plus the interest earned, given by:

Future value = P + I = 1000 + 900 = 1900

So, the future value of the investment is $1900.

Answer: the future value of the simple interest investment, where 5% interest is paid monthly for 1.5 years on $1000, is $18074.06.

Step-by-step explanation:

To determine the future value of a simple interest investment, we need to calculate the interest earned over the investment period and add it to the original investment amount. Here's a step-by-step explanation for calculating the future value of a simple interest investment with a 5% interest rate paid monthly for 1.5 years on $1000:

Step 1: Convert the annual interest rate to a monthly rate.

Since the interest rate is 5% per year and the interest payments are made monthly, we need to convert the annual interest rate to a monthly interest rate. We can do this by dividing the annual interest rate by 12:

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.00417

Step 2: Calculate the interest payment for each month.

For each month, we can calculate the interest payment by multiplying the monthly interest rate by the current balance:

Interest payment = Monthly interest rate * Current balance

Let's calculate the interest payment for the first month:

Interest payment = 0.00417 * $1000 = $4.17

Step 3: Add the interest payment to the current balance to get the new balance.

After each interest payment, we can add it to the current balance to get the new balance:

New balance = Current balance + Interest payment

New balance = $1000 + $4.17 = $1004.17

Step 4: Repeat the steps for each month.

We can repeat steps 2 and 3 for each of the 12 months in the first year and then for the 6 months in the second year.

Step 5: Add up the final balance.

After all 18 interest payments have been made, the final balance will be the sum of all the new balances:

Final balance = $1004.17 + $1004.17 + ... + $1004.17 (18 times) = $1004.17 * 18 = $18074.06

So, the future value of the simple interest investment, where 5% interest is paid monthly for 1.5 years on $1000, is $18074.06.

Easy question. My friend asked me this random question while I'm trying to sleep. If you get with someone on 12/27/2021 when will your 1 month, 2 month, and 3 month anniversary be? Remember February only has 28 days..​

Answers

Answer:

Step-by-step explanation:

If you got together on December 27, 2021, your 1-month anniversary would be on January 27, 2022, which is exactly 31 days later.

Your 2-month anniversary would be on February 27, 2022, which is exactly 61 days later. Since February has only 28 days in 2022, it means that your 2-month anniversary would fall on the last day of February.

Your 3-month anniversary would be on March 27, 2022, which is exactly 90 days later.

Andy has $1,000 in an account. The interest rate is 15% compounded annually. To the nearest cent, how much will he have in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

To the nearest cent, Andy will have $1,322.50 in 2 years.

What is interest ?

Interest is the cost of borrowing money, or the return on lending money. It is typically expressed as a percentage of the amount borrowed or lent, known as the principal.

According to given information :

Using the formula [tex]B=p(1+r)^t[/tex], where p=$1,000, r=0.15 (15% expressed as a decimal), and t=2, we can calculate the balance B after 2 years:

[tex]B = $1,000(1+0.15)^2 \\ \\B = $1,000(1.15)^2\\\\B = $1,000(1.3225)\\\\B = $1,322.50\\\\[/tex]

Therefore, to the nearest cent, Andy will have $1,322.50 in 2 years.

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What is the symbol for mean in stats?

Answers

The symbol of mean is "μ". The population mean, or average score for the population on a certain variable, equation as follows:

μ = ( Σ Xi ) / N

The term "mean" is simply the mathematical average of a set of two or more integers. The arithmetic mean technique, which utilizes the sum of the series' values, and the geometric mean method, which employs the average of a set of products, are only two of the methods available to determine the mean for a given collection of data. Nonetheless, most of the time, the outcomes of the various methods for determining a simple average are essentially the same. The arithmetic mean and the geometric mean are two different types of means that may be determined. By adding all the numbers in a set and dividing by the total number of integers in the set, the arithmetic mean is determined. The equation of mean will be:

μ = ( Σ Xi ) / N.

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find the coordinates of the intersection of the diagonals of ABCD with the given vertices
A(3,6) B(5,8) C(3,-2) and D(1,-4)

Answers

The coordinate from point of intersection is (3, 11)

What is the coordinate of the intersecting diagonals

To find the intersection point of the diagonals of ABCD, we need to find the point where the lines containing the diagonals intersect.

The diagonal connecting A and C has slope:

m₁ = (y₂ - y₁) / (x₂ - x₁)

= (-2 - 6) / (3 - 3)

= undefined

This is because the line is vertical, and so has no slope. However, we can still write an equation for this line using the x-coordinate of point C:

x = 3

The diagonal connecting B and D has slope:

m₂ = (y₂ - y₁) / (x₂ - x₁)

= (-4 - 8) / (1 - 5)

= -3/2

We can write an equation for this line using point-slope form and the coordinates of point B:

y - y₁ = m₂(x - x₁)

y - 8 = (-3/2)(x - 5)

y - 8 = (-3/2)x + 15/2

y = (-3/2)x + 31/2

Now we can find the point of intersection by solving the system of equations given by the two lines:

x = 3

y = (-3/2)x + 31/2

Substituting x = 3 into the second equation, we get:

y = (-3/2)(3) + 31/2

y = 22/2

y = 11

The coordinate is (3, 11)

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Part II. Jacob tells you that there is a 40% probability that at least two people in each classroom of 25 students share a birthday (ignore leap years). You don’t believe Jacob and decide to conduct a simulation to see if you get enough evidence to reject his claim.

• State the null hypothesis and the alternative hypothesis.

Use the random number generator to do a simulation and do this simulation 16 times. Record your results in the table below. In each simulation you will be checking how many couple of students share a birthday.


Find the proportion of “classrooms” with at least a couple of students sharing a birthday.



• Find the t-statistic:



Compare P-value (probability of getting a value at least as extreme as your t-statistic under the null hypothesis) with the a level:


• State your conclusion:

Answers

Null hypothesis: The probability of at least two people in each classroom of 25 students sharing a birthday is less than or equal to 40%.

Alternative hypothesis: The probability of at least two people in each classroom of 25 students sharing a birthday is greater than 40%.

What are the results from the simulations?

Simulation Results:

Simulation 1: 8 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 2: 9 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 3: 7 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 4: 11 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 5: 7 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 6: 6 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 7: 8 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 8: 6 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 9: 10 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 10: 8 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 11: 7 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 12: 11 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 13: 8 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 14: 7 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 15: 10 out of 16 classrooms had at least 2 students sharing a birthday.

Simulation 16: 10 out of 16 classrooms had at least 2 students sharing a birthday.

Proportion of classrooms with at least 2 students sharing a birthday = (8+9+7+11+7+6+8+6+10+8+7+11+8+7+10+10)/16 = 0.7125

The mean number of classrooms with at least 2 students sharing a birthday is 0.7125. We can use this value to calculate the t-statistic.

t-statistic = (0.7125 - 0.4) / (sqrt(0.4 * 0.6 / 16)) = 5.766

Using a one-tailed t-test with 15 degrees of freedom and an alpha level of 0.05, the critical t-value is 1.753. Since the calculated t-statistic is greater than the critical t-value, we can reject the null hypothesis.

The p-value is very small (less than 0.0001), indicating strong evidence against the null hypothesis.

Therefore, we can conclude that there is sufficient evidence to suggest that the probability of at least two people in each classroom of 25 students sharing a birthday is greater than 40%.

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Is it possible to make the left and right expressions have the same value? Explain your thinking.​

Answers

It is possible for equivalent expressions to make the left and right expressions have the same value

What is Expression?

An expression is combination of variables, numbers and operators.

We have to check whether it is  possible to make the left and right expressions have the same value

If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

For example 2x+4=2(x+2)

When we plug in x as 2

2(2)+4=2(2+2)

4+4=2(4)
8=8

Hence, its possible to make the left and right expressions have the same value when the expressions are equivalent.

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The population of a city has decreased by 26% since it was last measured. If the current population is 40,700, what was the previous population?

Answers

The previous population, of the city is 55,000

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given that, a city's current population is 40,700, decreased by 26% after it was measured last time, the

Let the previous population, of the city, be x,

Therefore,

x - 26% of x = 40,700

x(1-26%) = 40,700

0.74x = 40,700

x = 55,000

Hence, the previous population, of the city is 55,000

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The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m.

Answers

The distance from the top left corner of the foundation to the bottom right corner is 27 meters.

The distance between two points in space can be calculated using the Pythagorean theorem. In this case, we want to find the distance from the top left corner of the foundation to the bottom right corner.

To do this, we will use the length and width of the foundation, which are 20 meters and 18 meters respectively.

The Pythagorean theorem states that in a right triangle, the square of the distance (c) between the two points is equal to the sum of the squares of the other two sides (a and b). Mathematically, this can be represented as

=> c² = a² + b².

In our case, the two sides are the length (20m) and width (18m) of the foundation. To find the distance, we will first find the square of c by adding the squares of a and b. So,

=> c² = 20² + 18² = 400 + 324 = 724.

To find the distance, we will take the square root of c².

So,

c = √724 = 26.83

When we rounded to the nearest meter, c = 27m.

Complete Question:

The foundation of a building is in the shape of a rectangle, with a length of 20 meters(m) and a width of 18m. To the nearest meter, what is the distance from top left corner of the foundation to the bottom right corner.

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Mr. Newton wants to buy a shirt in Leavenworth Kansas that cost $20.The sales tax in Leavenworth is 8%. What would be the total price of the shirt after adding the sales tax?

Answers

First find the amount the price increased.

    amount of change
                 = (percent change) x (starting value)

                 = (8%) x ($20)

                 = (0.08) x ($20)

                 = $1.60

(Remember to convert the percent to a decimal before multiplying.)

Now add the tax onto the price:

      $20 + $1.60 = $21.60

The price, including sales tax, is $21.60.

Find the value of X. Round to the nearest tenth

Answers

The value of x in the given figure is 31.76.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given triangle, there are two triangles.

Let us find the length of the perpendicular line by using pythagoras theorem.

16² + a² = 22²

256 + a²  = 484

a²  =484-256

a² = 228

a=15.09 = 15

Now let us find the value of x.

Now 44-16= 28

28²+15² = x²

784 + 225 =  x²

1009 = x²

Square root on both sides

x=31.76

Hence, the value of x in the given figure is 31.76.

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In the figure, m²1 = (5x + 4)°,
mz2 = (6x - 6)° and mz3 =
(10x + 12)°. What is m23, in
degrees?

Answers

The angles in degree for the given triangle is 74 degrees, 78 degrees and 28 degrees.

What is angle?

In geometry, an angle is the figure formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles are usually measured in degrees or radians and are used to describe the amount of rotation between two intersecting lines or to measure the size of a shape. Angles can be acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), or reflex (greater than 180 degrees but less than 360 degrees). Angles play an important role in various fields of study such as mathematics, physics, engineering, and architecture.

Here,

To find m23, we need to use the fact that the sum of the angles in a triangle is 180 degrees.

We know that m21 + m23 + m32 = 180 degrees. Rearranging this equation, we get m23 = 180 degrees - m21 - m32.

From the given information, we have:

m21 = (5x + 4) degrees

m32 = 180 degrees - mz2 - mz3 = 180 degrees - (6x - 6) - (10x + 12) = 174 - 4x degrees

Substituting these values into the equation for m23, we get:

m23 = 180 degrees - m21 - m32

= 180 degrees - (5x + 4) - (174 - 4x)

= 6x + 2 degrees

Therefore, m23 is 6x + 2 degrees.

5x+4+6x-6+168-10x=180

x+166=180

x=14

5x+4=5*14+4

=74°

6x-6=6*14-6

=78°

168-10x=168-10*14

=28°

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Can someone help please this so due tonight

Answers

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

What is Fraction?

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

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Find the difference. use your answer in the simplest terms, using the slash ( / ) as the fraction bar.
1/2 - 1/4

Answers

Answer:

1/4

Step-by-step explanation:

You cannot subtract (or add) a fraction with different denominators so first, you need to find a common denominator. You can do this by finding the least common multiple (LCM).

Here the denominators are 2 and 4 so the LCM is 4.

After you find the LCM you need to multiply the denominator by a number that equals the LCM. Then multiply the numerator by that same number.

So convert both 1/2 and 1/4

1/4 x 1/1 = 1/4

1/2 x 2/2 = 2/4

Now we can just subtract the numerator from each other.

2/4 - 1/4 = 1/4

We cannot simplify the difference any more so keep it the same.

What is 0700 military time?

Answers

0700 military time is 7:00 AM in the 24-hour time format used by the military, also known as the 24-hour clock.

The 24-hour clock is a timekeeping system that uses a continuous count of 24 hours, instead of two sets of 12 hours for AM and PM. In this system, each hour of the day is numbered from 0 to 23, and is referred to as "military time" or "24-hour time". So, 0700 military time is equivalent to 7:00 AM, with the "0" indicating the first hour of the day. This system is commonly used in the military, as well as in other fields where precise and standardized timekeeping is important, such as aviation and public transportation.

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For two adjacent angles x° and (x + 30)° that make up a 90° angle, what is x

Answers

In the given situation, the required value of x for the given pair of adjacent angles is 30°.

What are adjacent angles?

When two angles have a similar vertex and side, they are referred to as neighboring angles.

The vertex of an angle is the point at which the rays that make up its sides come to an end.

When adjacent angles have the same vertex and side, they can be a complimentary angle or supplemental angle.

The definition of adjacent is next to or nearby.

Two next-door residences are an illustration of proximity.

Typically, we think of those who live on our street as neighbors.

So, we have:

x + x + 30 = 90

Now, solve for x as follows:

x + x + 30 = 90

2x + 30 = 90

2x = 90 - 30

2x = 60

x = 60/2

x = 30

Therefore, in the given situation, the required value of x for the given pair of adjacent angles is 30°.

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The measure of central location most often reported for annual income and property value data is the _____.
a. mode
b. median c. aggregate mean d. weighted mean

Answers

The measure of central location most often reported for annual income and property value data is the mode.

What is the mode?

There are three measures of central tendency of a data-set, which are defined as follows:

Mean.Median.Mode.

Among those three measures, the mode is the one that gives the observation that appears the most often in a data-set, hence the correct option is given by option a.

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1.Which best describes a linear function?

(a) Building a tower of blocks, Collin starts with 25 blocks on the first level, 16 on the second level, and
9 on the third level. The function represents the relationship between the number of blocks on each
level after x levels.

(b) On a summer day, the temperature outside increases 3 degrees Fahrenheit per hour after 6 AM.
The function represents the relationship between the
temperature outside after x hours after 6 AM.

(c) Patty's company makes gift boxes in the shape of cubes. As the size of the gift box changes, the
length of each side increases by 6 inches. The function represents the relationship between the volume
of
each gift box after x increases in side length.
Xo

(d) The water in an outdoor pool is evaporating. Each day, only 95% of the water from the day before
remains. The function represents the relationship between the amount of water in the pool after x days.
()

Answers

those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

The length of a rectangle is 1 cm more than 4 times the width. The perimeter is 42 cm. Find the length and the width.

Equation: Length:
Solve: Width:

Answers

Answer:

Length: 17 cm

Width: 4 cm

Step-by-step explanation:

Let x be the width of the rectangle.

length : 4x+1

x+x+4x+1+4x+1= 42

10x= 40

x= 4

4x+1= 4(4)+1

= 17


Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain $2,500?
d. How many years will it take for the account to contain $3,000?
years.
d. For the account to contain $3,000, it will take years
(Type a whole number.)

Answers

Answer:

a. After 4 years, the amount in the account can be found by using the formula for simple interest:

A = P * (1 + r * t), where P is the initial deposit, r is the annual interest rate as a decimal, and t is the number of years.

Plugging in the values, we get:

A = $2,000 * (1 + 0.05 * 4) = $2,000 * 1.2 = $2,400

So after 4 years, there will be $2,400 in the account.

b. After 16 years, the amount in the account can be found using the same formula:

A = $2,000 * (1 + 0.05 * 16) = $2,000 * 1.8 = $3,600

So after 16 years, there will be $3,600 in the account.

c. To find the number of years it will take for the account to contain $2,500, we can use the formula:

t = (A - P) / (P * r), where A is the desired amount.

Plugging in the values, we get:

t = ($2,500 - $2,000) / ($2,000 * 0.05) = ($500) / ($100) = 5 years

So it will take 5 years for the account to contain $2,500.

d. To find the number of years it will take for the account to contain $3,000, we can use the same formula:

t = ($3,000 - $2,000) / ($2,000 * 0.05) = ($1,000) / ($100) = 10 years

So it will take 10 years for the account to contain $3,000.

Step-by-step explanation:

pls mark brainlist

find two consecutive numbers whose product is 272​

Answers

Answer:

Below

Step-by-step explanation:

x = first number  

x+1 = second number

x *  (x+1) = 272

x^2  +x  = 272

x^2 + x - 272 = 0     Use Quadratic Formula to find:

x=   16    x+1 = 17          OR       x =   -17     x+1 = -16

What is 1 meter cm in feet?

Answers

100 centimetres make up one metre. 100 centimetres must be multiplied by 0.0328084 to equal one metre in feet. There are 3.28084 feet as a result.

100 cm in one metre

1 cm = 0.0328084 ft

100 cm in 1 metre equals 0.0328084 feet, or 3.28084 feet.

100 centimetres make up one metre. 100 centimetres must be multiplied by 0.0328084 in order to convert 1 metre in cm to feet. This math will show us how many feet are in one metre, centimetre. To proceed step-by-step, we must first multiply one metre by one hundred centimetres. We will get 100 centimetres as a result.Following that, we must multiply 100 centimetres by 0.0328084. This figure represents the number of feet in one centimetre. We can convert 1 metre cm to feet by multiplying these two values, which gives us 3.28084 ft. The length of things can be measured using this conversion in both metric and imperial systems. When attempting to measure objects precisely, it can be helpful to know how to convert between the two systems.

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A calf and a mini-horse weigh 705 lbs combined. The ratio of their weights is 16:31 respectively. How much does the mini-horse weigh?

Answers

The Weight of mini horse is 465 lbs.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

A calf and a mini-horse weigh 705 lbs combined.

The ratio of their weights is 16:31 respectively.

let the Common ratio be x.

So, weight of calf = 16x and Weight of mini horse = 31x

Thus, 16x + 31x = 705

47x = 705

x= 705/ 47

x= 15

Then, the Weight of mini horse = 31x = 31(15)= 465 lbs.

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