Find the surface area of the rectangular prism with the following dimensions:
length = 9 m
height = 10 m
width = 12 m
636 m squared
710 m squared
Streak Boost.
630 m squared
1080 m squared

The expression that represents the perimeter is 12x+20 the correct option is C



Perimeter is the sum of length of the sides used to made the given figure. A regular figure with n-sides has n equal sides in it, and they are the only parts of it(that means, nothing more than those of equal length n sides).

Given;

The length of each side of square= 3x+5

Perimeter of square= 4a

where, a is the length of each side

So,

 perimeter= 4 x (3x+5)

                  = (4 x 3x) + (4 x 5)

                  = 12x +20

Therefore, the perimeter will be12x+20

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One can create a triangle with the sides 3 cm, 5 cm and 7 cm.

We can check the possibility of constructing a triangle through side-side-side. It states that the sum of any two sides of triangle should be greater than third side of the triangle. Therefore, let us say 3 cm is side a, 5 cm is side b and 7 cm is side c.

Now, checking the rule.

Side a + side b > side c

3 + 5 > 7

Add the digits on left

8 > 7

Side b + side c > side a

5 + 7 > 8

Add the digits on left

12 > 8

side c + side a > side b

8 + 5 > 7

Add the digits on left

13 > 7

The side-side-side rule of triangle is followed in all the cases, and hence triangle formation is possible.

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Answer:

$180

Step-by-step explanation:

20*5=100

36*5=180

Answer: the cost of the bicycle is 180$

Step-by-step explanation:

If Juanita has saved 20% of the money she needs to buy a new bicycle and she has saved $36, we can calculate the cost of the bicycle using the following formula:

(100% - 20%) x cost of bicycle = $36

To find the cost of the bicycle, we can divide both sides of the equation by 80% (100% - 20%), like this:

cost of bicycle = $36 / (100% - 20%)

We know that Juanita has saved $36 and the percentage saved is 20% , so the cost of the bicycle is $180

Answer:

I think your question is incorrect

Given, sides of the triangle are 7 cm, 24 cm, and 25 cm. Squaring the lengths of the sides of the, we will get 49, 576, and 625. Therefore, the above equation satisfies, Pythagoras theorem. Hence, it is right angled triangle.

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Answer:

66/125

Step-by-step explanation:

%52.8 = 52.8/100

= 0.528

0.528/1 x 1000/1000

=528/1000

=66/125

The missing side length is 17 and the side lengths 8, 15, and 17 form a Pythagorean triple.

Side lengths: 8, 15

Missing side length: 17

Yes, the side lengths form a Pythagorean triple. The side lengths 8, 15, and 17 form a Pythagorean triple because 8^2 + 15^2 = 17^2.

To answer this question, we first need to determine if the side lengths 8, 15 and the missing side length form a Pythagorean triple. To do this, we use the Pythagorean theorem which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. If this is true, then the side lengths form a Pythagorean triple.

In this case, we can plug in the side lengths 8 and 15 into the Pythagorean theorem. 8^2 + 15^2 = 17^2. Since the equation is true, this means that the side lengths 8, 15 and 17 form a Pythagorean triple. Therefore, the missing side length is 17.

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Answer: -14

Step-by-step explanation:

1) Distribute

6(x+3) =-84

6*x + 6*3 =-84

6x + 18 = -84

2) Addition/Subtraction Inverse

6x + 18 =-84

-18. -18

3) Divide/Multiply Inverse

6x = -84

-84/6x = -14

Answer:

Step-by-step explanation:

6(x + 3) = -84

6x + 18 = -84

6x = -84 - 18

6x = -102

x = -102 : 6

x = -17

------------------------------------

6(-17 + 3) = -84

-102 + 18 = -84

-102 = -84 - 18

-102 = -102

Longitudes: The vertical lines running north-south, join the two poles. They are called the meridians of longitude. They are spaced farthest apart at the equator and converge at a point at each pole.

Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.

What is the uses of latitude?

Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.

The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.

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To find the acute angle of each angle in a triangle if the given angles are in the form of an equation follow the steps in the main answer part

To find the acute angles of a triangle given the angles in the form of an equation, you can use the following steps:

Example: Let's say you are given an equation,

A+B+C = 180°

If

A = 70°

B = 70° then

C = 40°

C is not acute, so subtract it from 180° to get C= 140°

Now you have A = 70° and C = 140° which are acute angles.

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The quotient of 2.506 × 10^8 and 8.95 × 10^4 expressed in scientific

notation is  2.8 x 10^3.

Quotient is the result of the division process. Scientific notation is a method that is used to compress larger numbers into smaller numbers. In order to write a number in scientific notation, the number is expressed as a power of 10. For example, 1000 in scientific notation is 1 x 10³.

(2.506 x 10^8) ÷ (8.95 x 10^4)

= (2.506 / 8.95) x 10^8 - 4

0.28 x 10^4

2.8 x 10^4 - 1

= 2.8 x 10^3

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This problem is related to the concept of continuous compounding, which is a method of calculating the interest earned on an account over a certain period of time. The formula for calculating the principal amount for a continuously compounded account earning 3.9% for 15 years is as follows:

P = A/ (1 + r)^t

Where P is the principal, A is the balance after 15 years, r is the rate of interest and t is the number of years.

In this problem, P = $4,768,549.11, A = $2,656,586.66, r = 3.9% and t = 15.

Therefore, the principal for the continuously compounded account earning 3.9% for 15 years is $4,768,549.11

It is not possible to construct a triangle with the given lengths (4,3,7).

A triangle is a polygon. It has three sides and three vertices. It is one of the famous shapes in geometry. A triangle has three vertices A, B, and C, and is denoted ΔABC.

Triangle Inequality Theorem :

The summation of the lengths of any two sides of a triangle is greater than the length of the third side.

Given three sides are 4,3,7cm

We know that the summation of two sides of a triangle is greater than the third side.

But given sides, 4+3=7 ( using addition)

Hence, it is not likely to construct a triangle with lengths of sides 4cm, 3cm, and 7cm.

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The coordinates of the points after dilation is P'(6,10), Q'(8,0), and R'(2,2).

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Given that the scale factor is 2. The coordinates of the points after dilation is,

P(3,5) = P'(6,10)

Q(4,0) = Q'(8,0)

R(1,1) = R'(2,2)

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The point on a line where it crosses the y-axis is known as the y-intercept.

Graphs and charts are useful visual aids because they make information accessible and quick to understand. Therefore, it is not unexpected that print and electronic media frequently use graphs. When data is displayed as a graph rather than a table, it can often be easier to understand because the graph might show a pattern or comparison.

The temperature initially climbs to 5 degrees Celsius.

formula for a line

A line's y-intercept, also known as the point where the x-coordinate equals zero, is where the line intersects the y-axis.

You can see from the graph that the line intersects the y-axis at y = 5. This demonstrates that the temperature initially increases to 5 degrees Celsius.

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Complete question -

Keith's unpaid balance is $178.62, finance charge is $2.6795 and new balance is $181.2995

To find Keith's unpaid balance, we need to find the difference between the previous balance and the payments made during the month.

Keith's previous balance was $200.

During the month, he charged $178.62, made a $200 payment.

So, Keith's unpaid balance is:

$200 (previous balance) - $200 (payment) + $178.62 (charges) = $178.62

To find Keith's finance charge, we need to multiply the unpaid balance by the monthly periodic rate (1.5% in this case).

Keith's finance charge is:

$178.62 (unpaid balance) * 0.015 (monthly periodic rate) = $2.6795

To find Keith's new balance, we need to add the finance charge to the unpaid balance.

Keith's new balance is:

$178.62 (unpaid balance) + $2.6795 (finance charge) = $181.2995

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Scale is represented as a ratio, such as 1:100. A drawing with a scale of 1:100 indicates that the thing is 100 times smaller than it would be in real life. You may also remark that one unit in the illustration equals one hundred units in real life.

Enlarging scale indicates that the drawing is made with larger dimensions than the real dimensions of the thing. A representative proportion of 1:0.2 equals 5:1, implying that the depiction is five times larger than the actual thing. As a result, the scale is increasing in size.

On November 28, 2022, it was revised. A ratio scale is a quantitative scale with a real zero and equal gaps between nearby points. In contrast to an interval scale, a zero on a ratio scale indicates that the variable being measured is completely absent. Ratio scales include things like length, area, and population.

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Scale is represented as a ratio, such as 1:100. A drawing with a scale of 1:100 indicates that the thing is 100 times smaller than it would be in real life. You may also remark that one unit in the illustration equals one hundred units in real life.

Enlarging scale indicates that the drawing is made with larger dimensions than the real dimensions of the thing. A representative proportion of 1:0.2 equals 5:1, implying that the depiction is five times larger than the actual thing. As a result, the scale is increasing in size.

On November 28, 2022, it was revised. A ratio scale is a quantitative scale with a real zero and equal gaps between nearby points. In contrast to an interval scale, a zero on a ratio scale indicates that the variable being measured is completely absent. Ratio scales include things like length, area, and population.

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Answer:

Mary:228

iter:114

Step-by-step explanation:

Mary's "iter" would have 228 apples (half of what mary has) and would be left with 114 after giving half to her mother.

Mary would be left with 228 apples because 456/2=228.

The equation of the line in slope intercept form is y = -4x + 1.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Intercept of a line is the point where the line touches with one of the axis.

The general equation of a line in slope intercept form is,

y = mx + d, where m is the slope and d is the y intercept.

y intercept point touches the y axis.

Take any two points from the line.

Let it be (0, 1) and (-1, 5).

Slope = (5 - 1) / (-1 - 0) = 4 / (-1) = -4

m = -4

We have the point (0, 1), where the line touches the Y axis.

y intercept, d = 1.

Equation of the line is,

y = -4x + 1

Hence the equation of the line is y = -4x + 1, when slope is -4 and y intercept is 1.

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Answer:

Step-by-step explanation:

f(x)=−3x−4

f

(x)=−3x−4  as an equation.

y=−3x−4     Interchange the variables.

x=−3y−4     Solve for y

y=−x3−4

3  Replace y with f−1(x) to show the final answer.

f−1(x)=−x3−43 Verify if f−1(x)=−x3−43

is the inverse of (x)=−3x−4.

F−1(x)=−x3−43

Mr. Karbon 1,14,05,52,000 times has his heart been beating during his life.

Adults typically have a resting heart rate between 60 and 100 beats per minute. A lower resting heart rate typically indicates improved cardiovascular fitness and more effective cardiac function. A well-trained athlete, for instance, might have a typical resting heart rate that is closer to 40 beats per minute.

Based on your age, you may calculate your maximum heart rate. Subtract your age from 220 to get a ballpark idea of your maximal age-related heart rate. For instance, the predicted maximum age-related heart rate for a 50-year-old person would be computed as 220 - 50 years = 170 beats per minute (bpm).

There are total 60 minutes in an hour,

1440 minutes in a day,

There are 365 days in a year,

and Mr. Karbon has lived for 35 years.

his heart beats on average 62 beats per minute.

His heart has beaten for 35 × 365 × 1440 × 62

1,14,05,52,000 times has his heart been beating during his life.

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The expressions to represent the length and width of Melissa’s vegetable garden in terms of x include the following:

y = 3x + 2.

y = x + 5

In order to write the expressions representing the length and width of Melissa’s vegetable garden, we would assign variables to its dimensions as follows;

Since Melissa wants the length of her rectangular vegetable garden to exceed three (3) times the length of the tomato square patch by 2 feet, the length of the rectangular vegetable garden with respect to its length is given by:

y = 3x + 2.

For the width, an expression for the rectangular vegetable garden's width with respect to the width of the tomato square patch is given by:

y = x + 5

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Yes, your birthday is divisible by 3.

To check if a number is divisible by 3, the sum of its digits must be divisible by 3. To determine the sum of the digits of your birthday, we can use the formula:

Birthday = abc

Sum of digits = a + b + c

For example, if your birthday is the 7th of December, 2020:

Birthday = 07122020

Sum of digits = 0 + 7 + 1 + 2 + 2 + 0 + 2 + 0 = 14

Since 14 is divisible by 3, your birthday is divisible by 3.

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Answer:

y - y1 = m(x - x1)

y - 5 = -3/2 [x - (-6) ]

2 (y - 5) = 2 × -3/2 [x - (-6) ]

2y - 10 = -3 [x + 6]

2y - 10 = -3x - 18

2y- 10 + 3x + 18 = 0

2y + 3x -10 + 18 = 0

2y + 3x + 8 = 0

Step-by-step explanation:

I stated the formula to find the equation of the line . Then replaced the y1 and x1 with -6 and 5 respectively. I multiplied the whole equation by the LCM, which is 2. Group the whole equation to the left and equate it to 0. Then group like terms and solve. The final answer is the equation of the line

For a single serving, 1 4/5 pounds of chicken is needed.

What is the fraction?

A fraction is a way of representing a part of a whole. It consists of two parts: the numerator and the denominator. The numerator represents the number of parts being considered, and the denominator represents the number of parts in the whole.

To find out how many pounds of chicken will be needed for a single serving, we need to divide the amount of chicken needed for 4 servings by the number of servings.

The amount of chicken needed for 4 servings is 4 4/5 pounds. To convert it to a single serving we will divide it by 4.

(4 4/5) / 4 = (4 + 4/5) / 4 = 4/4 + 4/5*4/4 = 1 + 4/5 = 1 4/5 pounds

Hence, for a single serving, 1 4/5 pounds of chicken is needed.

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Answer:

The difference between 18 and seven times a number:    18 - 7x

Step-by-step explanation:

(ii)  One more than the difference between 18 and seven times a number:

Add 1 to the expression from step (i) and get

1 + (18 - 7x)

(iii)  One more than the difference between 18 and seven times a number is -9:

Set expression from step (ii) equal to -9 and get

1 + (18 - 7x) = -9

You can simplify and solve for x.

The inequality for Erik to win is

|x- y| ≤ 10

And for Nita to win

|x- y| ≥ 10

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Inequalities define the connection between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. The different inequality symbols, characteristics, and methods for resolving linear inequalities in one variable and two variables will all be covered in this article along with examples.

In the problem let the number chosen by Erik and Nita be x and y respectively .

here both x,y  ≤ 20

so the inequality for Erik to win is

|x- y| ≤ 10

And for Nita to win

|x- y| ≥ 10

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A $40 item will ultimately cost $43.2 when an 8% tax is included.

The formula Lousie used is:

c = p(1 + r)

We will solve this problem with the help of percentages.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

We are given that the price of the item is $40

r = 8% .

Therefore,

c = 40(1 + 8%)

c = 40 (1 + 8/100)

c = 40 ((100+8)/100)

c = 40 (108/100)

c = 40 * 1.08 = 43.2

Final cost = $43.2

Therefore the final cost of the $40 item after an 8% tax is applied will be $43.2.  

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Triangle ABC is congruent to triangle FDE by SAS congruence. Therefore, students did mistake in line 1.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that, in triangles ABC and DEF

∠A≅∠F=135°

The coordinates for the vertices are at A(0, 2), B(2, 4) and C(0, 0)

In triangle DEF, we have D(2, 0), E(4, 4) and F(4, 2)

AC= 2 units and DF= 2 units

AC≅DF

Length of segment AB.

A (0, 2) and B (2, 4)

Here, d=√[(x₂-x₁)²+(y₂-y₁)²]

= √[(2-0)²+(4-2)²]

= √8

AB = 2.83

Length of segment FD.

D (2, 0)

F (4, 2)

Here, d=√[(4-2)²+(2-0)²]

FD= = 2.83

AC≅FD

Triangle ABC is congruent to triangle FDE by SAS congruence

Hence, students did mistake in line 1.

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