WILL GIVE BRAINELIST

WILL GIVE BRAINELIST

Answers

Answer 1

Answer:

Step-by-step explanation:

Distribute.

8x + 32

pt2. is A.


Related Questions

when designing an experiment, we can increase the level of certainty in our experiemntal results and account for random events. what element within your experiment allows you to do this?

Answers

One element within an experiment that allows you to increase the level of certainty in your results and account for random events is the use of a control group.

Describe level of certainty?

Level of certainty refers to the degree of confidence or assurance that one has in the accuracy of a particular result, decision, or conclusion. In scientific research, the level of certainty is often expressed as a probability or as a confidence interval, which provides a range of values that are expected to contain the true value with a certain degree of confidence. A higher level of certainty indicates a greater level of confidence that the result is correct, while a lower level of certainty indicates more uncertainty or ambiguity. Factors that can affect the level of certainty in an experiment or measurement include the quality of the data, the size of the sample, the accuracy of the methods used, and the presence of random or systematic errors.

By having a control group, you can compare the results of the experiment against a baseline and isolate any changes caused by the independent variable. Additionally, using a large sample size and repeating the experiment multiple times can also help increase the level of certainty and account for random events.

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a senator conducted a poll in her state by calling 100 people whose names were randomly sampled from the phone book (mobile phones and unlisted numbers aren't in phone books). the senator's office called those numbers until they got a response from all 100 people chosen. what bias may exist in the study?

Answers

In this particular study, Selection bias, Response bias, non response bias and Self-selection bias may exist.

There are several biases that may exist in the study:

1. Selection bias: By only calling people whose names were randomly sampled from the phone book, the study may not accurately represent the population of the state as a whole. Mobile phones and unlisted numbers, which may represent a significant portion of the population, are not included in phone books and therefore not included in the sample.

2. Response bias: The study only includes people who answered the phone when the senator's office called. This means that the sample only represents people who were available and willing to participate in the study. People who were not available or unwilling to participate may have different opinions, which would introduce a response bias.

3. Nonresponse bias: People who did not answer the phone when the senator's office called may have different opinions than those who answered. This nonresponse bias can result in an overestimation or underestimation of the true population values.

4. Self-selection bias: By only calling people who answered the phone, the study may only represent those who are interested in politics or are more likely to participate in political surveys. This self-selection bias can result in an overestimation or underestimation of the true population values.

These biases can lead to inaccurate results and conclusions. To reduce these biases, it's important to use a representative sample of the population and to make sure that the sample is selected in a way that minimizes bias

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Geometry help needed!!

Answers

The value of the missing angles x , y, and z are 63⁰ , 63⁰  and 72⁰ respectively.

What is the value of the missing angles?

The value of the missing angles is calculated by applying the following mathematical method.

x + 85⁰ + 32⁰ = 180⁰ ( sum of angles in a triangle )

x = 180 - 117 = 63⁰

y = x = 63 ⁰ ( opposite angles )

z + y + 45⁰  = 180⁰ ( sum of angles in a triangle )

z + 63 ⁰  + 45⁰ = 180

z = 72⁰

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On a hot summer day, Judith and her friends decided to have a water fight. They threw water balloons for 1 hour and 13 minutes. When all the water balloons were gone, they sprayed water with hoses for 21 minutes. The water fight ended at 1:08 P.M. when Judith's dad showed up with ice cream. What time did the water fight start?

Answers

Answer:

11:34 AM

Step-by-step explanation:

To find out the start time of the water fight, we need to subtract the total time it took from the end time.

End time: 1:08 P.M.

Total time: 1 hour and 13 minutes for water balloons + 21 minutes for hoses = 1 hour and 34 minutes

So, we subtract 1 hour and 34 minutes from 1:08 P.M.

1 hour before 1:08 P.M. is 12:08 P.M.

34 minutes before 12:08 P.M. is 11:34 A.M.

Therefore, the water fight started at 11:34 A.M.

Identify the percent of change as an increase or a decrease.

5/4
to 3/8

Answers

The value changes from 5/4 to 3/8 , then the percent of change from 5/4 to 3/8 is a 60% increase. So, the value change from 5/4 to 3/8 increases in percentage.

To determine whether the percent of change is an increase or a decrease, you need to calculate the difference between the old value and the new value as a percentage of the old value.

The old value is 5/4 and the new value is 3/8. To calculate the difference, you subtract the new value from the old value: 5/4 - 3/8 = 5/4 - 3/8 = 15/32.

Next, you need to express the difference as a percentage of the old value. To do this, you divide the difference by the old value and multiply by 100%. That gives you (15/32) / (5/4) * 100% = 60%.

Since the result is a positive percentage, it means that the percent of change is an increase. So, the percent of change from 5/4 to 3/8 is a 60% increase.

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Select all the common denominators for
O A. 10
OB. 20
OC. 24
OD. 32
OE. 40
and
7
10

Answers

The denominators for 1/4 and 7/10 are B) 20 and E) 40.

How do you equalize denominators in fractions?

1/4 , the denominator is 4.

7/10, the denominator is 10.

We are looking for in the multiple choice, which number can be divided into 4 and 10. Namely the numbers 20 and 40.

To prove:

20, divided by 4 is 5 and divided by 10 is 2.

40, divided by 4 is 10 and divided by 10 is 4.

Then the correct answer is 20 and 40.

As we know that in fractions are divided into two parts, namely the quantifier (located above the dividing line) and the denominator (located below the dividing line.

The quantifier is the number or value that will be divided by the number or denominator value. Meanwhile, the denominator is the number or value that is the number's divisor or the quantifier value.

Your question is incomplete but most probably your full question was:

Select all the common denominators for

1/4 and 7/10.

A 10

B. 20

C. 24

D. 32

E. 40

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Andrew put in 80 hours of work in July for which he is entitled to $920.65. He also works 5 hours overtime. If she receives a paycheck of $1030.45 for the month, how much is she paid for an hour of overtime work? Write an EQUATION and then solve it.

Answers

Answer: Let's call the hourly rate for regular work as "r" and the hourly rate for overtime work as "o".

From the information given, we know that 80 hours of regular work earned Andrew 80 * r = $920.65.

And we also know that 5 hours of overtime work earned him 5 * o = $109.80.

So, combining the two amounts, we have:

80 * r + 5 * o = $1030.45

Now, we can substitute the first equation into the second:

80 * r + 5 * o = $1030.45

80 * r = $920.65

80 * r + 5 * o = $1030.45

5 * o = $1030.45 - $920.65

5 * o = $109.80

Finally, we can solve for the hourly rate of overtime work:

o = $109.80 / 5

o = $21.96/hour

Step-by-step explanation:

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Bilquis sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
9 visitors purchased no costume.
95 visitors purchased exactly one costume.
8 visitors purchased more than one costume.

If next week, she is expecting 2000 visitors, about how many would you expect to buy exactly one costume? Round your answer to the nearest whole number.

Answers

Therefore , rounding to the nearest fraction whole number, we would expect about 1696 visitors to purchase exactly one costume next week.

Fraction : What is it ?

An whole can be represented by any set of related sums or fractions. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Numbers are expressed in mathematics using the ratio of it's own portion to the bottom. These fractions are all made up of basic numbers. Due to variances in actual percentage calculations, numerators, and numerators, a difficult fraction contains a fraction.

Here,

Out of 112 visitors to the website (9 + 95 + 8), 95 purchased exactly one costume.

So the proportion of visitors who purchased exactly one costume is:

95/112 ≈ 0.848

To estimate how many visitors out of 2000 would purchase exactly one costume, we can multiply the proportion by 2000:

0.848 x 2000 ≈ 1696

Rounding to the nearest whole number, we would expect about 1696 visitors to purchase exactly one costume next week.

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What’s the inequality

Answers

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

M is the midpoint of the diagonals. Use the properties of rotations to show that the measures of both pairs of opposite sides are equal in length.

Answers

The measures of both pairs of opposite sides are equal in length using the properties of rotations.

What is rotation?

In mathematics, a rotation is a transformation that spins a shape around an immovable object.

We are given that M is the midpoint of the diagonals.  

Since, M is the midpoint of the diagonals, so, VM = MQ and TM = MN.

Since T and N are equidistant from M, and the measure of ∠TMN = 180°, So, r(180°, M)(T) = N

Similarly, r(180°, M)(V) = Q  

We can rotate every point on TV in this same way.

So,  r(180°, M)(TV) = QN

Similarly, r(180°, M)(TQ) = VN  

Since, the rotations are rigid motions and they preserve distance, so, TV=QN and TQ=VN.

Hence, the measures of both pairs of opposite sides are equal in length.

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In the question, the figure is missing which is attached below

what are all the digests of pie after 3.141592653589793238462643383279?

Answers

Answer:

50288419716939937510.... and so on.

Pi is a never ending number, so it goes on and on forever.

Step-by-step explanation:

Hope it helps! =D

sierra read for 220 minutes 1 week. Chen read for 1/2 hour a day for 7 days which explanation is correct

Answers

The correct answer is option D: Chen read for less time because an hour a day for 7 days is equal to 210 minutes.

To determine the correct answer, we need to use the unitary method. This method involves converting the units of measurement into a common unit and then comparing them.

In this case, we need to convert hours into minutes to compare the reading time of Sierra and Chen.

An hour is equal to 60 minutes. Therefore, 1 hour a day for 7 days is equal to

=> 60 minutes * 7 days = 420 minutes.

However, we need to divide this number by 2 because Chen only read for half an hour a day. Hence, Chen read for 210 minutes

=> (420 minutes / 2).

Now that we have both the reading times in minutes, we can compare them. Sierra read for 220 minutes while Chen read for 210 minutes. As 220 > 210, it is clear that Sierra read for more time.

In conclusion, option D is the correct answer as Chen read for less time because an hour a day for 7 days is equal to 210 minutes. The unitary method is useful in comparing measurements with different units and it provides us with accurate results.

Complete Question:

Sierra read for 220 minutes in 1week. Chen read for an hour a day for 7 days. Which explanation is correct?

A. Sierra read for more time because 220 is greater than

B. Sierra read for less time because minutes are less than hours.

C. They read for the same amount of time because 1 week is equal to 7 days.

D. Chen read for less time because an hour a day for 7 days is equal to 210 minutes.

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T-5/t-3=t-3/t+3+1/t-3

Answers

The value of equation is -3.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given;

T-5/t-3=t-3/t+3+1/t-3

Now

T-5/t-3=t-3/t+4/t-3

-5t=-2t+9

-3t=9

t=-3

Therefore, the answer of the equation will be -3.

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Pedro tiene como proyecto de construir la casa de sus sueños, estuvo ahorrando dinero, pero no fue suficiente ya que para hacer la casa al 100% necesita 60.000.0000$ lo que quiere decir que le faltan 35.000.0000$ para poder juntar todo el dinero. Contemplo la posibilidad de prestar en un banco los 35.000.000$ para pagarlos en 10 años con una tasa de interés del 8%. Preguntas. ¿Cuánto dinero había reunido Carlos antes de pensar en prestar con el banco? 25.000.000$ ¿Cuánto dinero pagaría Carlos en total al finalizar los 10 años? 37.800.000 ¿Qué precio tendría cada cuota mensual durante los 10 años? 315.000$

Answers

Pedro ha reunido 25.000.000$ antes de pensar en prestar con el banco. Al finalizar los 10 años, Carlos pagará 37.800.000$.

Esto significa que tendrá que pagar 35.000.000$ en total al banco, los cuales se dividirían en cuotas mensuales de 315.000$ durante los 10 años.

Es importante tener en cuenta que con el paso del tiempo, los precios de los materiales de construcción pueden variar, lo que significa que el costo total de la casa puede aumentar o disminuir. Por lo tanto, es importante contar con un presupuesto realista para la construcción. Además, se recomienda controlar el progreso de la construcción para asegurarse de que los costos no se salgan de control.

English Version:

Pedro has collected $25,000,000 before thinking about lending with the bank. At the end of the 10 years, Carlos will pay $37,800,000. This means that he will have to pay $35,000,000 in total to the bank, which would be divided into monthly installments of $315,000 over the 10 years.

It is important to keep in mind that over time, the prices of construction materials may change, which means that the total cost of the house may increase or decrease. Therefore, it is important to have a realistic budget for construction. In addition, it is recommended to monitor the progress of the construction to ensure that costs do not get out of control.

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Find X and m
i did 180-64 for the 116, now what?

ASAP

Answers

So because it’s a triangle, we can assume that the other angle opposite the 6x+2, must also be 6x+2. Therefore, since angles in a triangle add up to 180, we can do: 6x+2 + 6x+2 + 116 =180.

Now we can collect like terms and get:

12x+4+116=180

Now 180- (4+116) is 60
Therefore, 12x=60
And x = 5 when you divide both sides by 12.

Hope that helps

Help please (will mark as brainlest)

Answers

120. 15x^2y^3-20x^2y^3-10x^2y
89. Domain: x∈(−∞,5)

Answer:

Below

Step-by-step explanation:

1)   The domain can be ANY value of 'x' except 'x' that cause the denominator to = 0    and it cannot be 'x' values that cause the denominator to be negative    as this is not allowed

so   x cannot be 5 or greater

       (-∞ , 5)   is the domain in interval notation

    or you could just write   x < 5      

2) you cannot have a negative square root so the domain would be all 'a'

       that the numerator would be 0 or greater (you CAN have a square root of '0' in the numerator)

             7-5a ≥ 0

               7 ≥ 5a

               7/5 ≥ a     or flipping it around    a ≤ 7/5

3) 15x^3y^2 + 10x^2 y - 20 x^2 y^3

you can factor out a   x^2    5  and  y from all three terms to get :

   5 x^2 y ( 3xy + 2 - 4 y^2 )       there ya have it !

               

a club sold 275 tickets for a fundraiser at the community center. student tickets cost $3, and adult tickets cost $5. the total value of tickets sold is $1,025. how many adult tickets were sold? 125

Answers

There were 100 adult tickets sold.

Substitution Method:

When solving a system of equations with two unknowns, one of the techniques to find the unknown values is the substitution method. In this method, one equation is substituted to the other equation to achieve a final equation that contains only one of the unknowns. The value remaining unknown can be derived directly from the final equation. By substituting the first value to one of the original equations, the other unknown may be derived.

Let A be the number of adult tickets sold and S be the number of student tickets sold.

The total tickets sold is 275.

A + S = 275_________(Eq. 1)

Also, the total sales is $1025.

5A + 3S = 1,025_______(Eq. 2)

From the Equation 1

S = 275 - A     [Subtract A from both sides]

Using this value of S, substitute S in the second equation.

5A + 3(275 - A) = 1,025

5A + 825 - 3A = 1,025

2A = 200 [Subtract both sides 825]

A = 100   [Divide both sides by 2]

Hence, There were 100 adult tickets sold.

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(PLS PLS HELP!!!!!!)
Note that WXYZ has vertices W(-1, -6), X (2, -8), Y (6, -1), and Z (3, 1).
Complete the following to determine if WXYZ is a parallelogram.

Answers

Answer:

Step-by-step explanation:

WX length = Square root 13                                                                                             Slope of WX=-2/3 or -2 divided by 3                                                                  YZ length= Square root 13                                                                                  Slope for YZ= 2 divided by -3 or 2/-3                                                                              Part C should be A since parallel means that they have the same slope and they are congruent side lengths so, hopefully im right? Theorem 7.12 proves it

What is the sign of39 11\13 + (-41 1/13)?

Answers

Answer: - negative

Step-by-step explanation:

The number 41 has a negative sign and it is greater than 39.

The sum of two numbers is shown.
5.25 ÷ (-1.35)
Which situation can be represented by this sum?
O a Atruck driver has traveled S. 25 miles. He has to travel another 1. 35 miles to get to his destination. The sum represents the total
number of miles he will travel.
• B. A basket of potatoes weighed 5. 25 pounds. A worker put an addicional 1. 35 pounds of potatoes into the basket. The sum
represents the final weight of the basket.
O c Before heating a solution, a scientist measured its temperature to be 5. 25 *F. The scientist stopped heating the solution after 1. 35
hours. The sum represents the final temperature of the solution.
• o. A the begining of a day the value of a certain stock was S5, 25. By the end of the day the stocks value had decreased by 51. 35.
The sum represents the stock's value, in dollars, at the end of the day.

Answers

Answer:

The situation that can be represented by the sum 5.25 ÷ (-1.35) is:

C. Before heating a solution, a scientist measured its temperature to be 5.25 *F. The scientist stopped heating the solution after 1.35 hours. The sum represents the final temperature of the solution.

PLSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

[tex] \sf \: x = 6[/tex]

Step-by-step explanation:

Now we have to,

→ find the required value of x.

The equation is,

→ 4x + 10 = 34

Then the value of x will be,

→ 4x + 10 = 34

→ 4x = 34 - 10

→ 4x = 24

→ x = 24 ÷ 4

→ [ x = 6 ]

Hence, the value of x is 6.

How many bagels can you buy for $50?

A shop sells bagels for $5 per dozen. You can use the table to answer the questions. Explain your reasoning.

number of bagels price in dollars

12 5

Answers

The linear equation is 12y = 5x. Then the number of bagels when you buy for $50 will be 120 bagels.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A shop sells bagels for $5 per dozen.

Let 'x' be the number of bagels and 'y' be the total cost. Then the equation is given as,

y / x = 5 / 12

12y = 5x

The number of bagels when you buy for $50 will be given as,

12(50) = 5x

600 = 5x

5x = 600

x = 120

The number of bagels when you buy for $50 will be 120 bagels.

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Luzia ran the 400-meter race three times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If
Luzia’s average time was 54.0 seconds, what was her time, in seconds, for the third lap
The answer is 53.7

Answers

The solution is, 53.5 sec was her time, in seconds, for the third lap.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Given

Number of times Lucia ran the race=n=3

Slowest time= x_1=56.3 sec

Fastest Time= x_2=52.2 sec

Average time=54.0 sec

Since, we know the average time and two of the three race times, we can use the average formula to calculate the third race’s time.

Let  

x_3=the third race^' s time

So,

Average=(Sum of values)/(Number of values)

Average =  (x_1+ x_2+ x_3)/n

Putting the values

54.0=  (56.3+ 52.2+ x_3)/3

Multiplying 3 with 54.0 and adding 56.3 and 52.2

162= 56.3+52.2+ x_3

162= 108.5+ x_3

x_(3 )=162-108.5

x_(3 )=53.5 sec

Hence, The solution is, 53.5 sec was her time, in seconds, for the third lap.

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A local restaurant charges $15 for a jumbo cheese pizza and $1.35 for each additional topping. Write an equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.

Answers

An equation, in slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza is y = 1.35 x + 15.

As per the data given:

A local restaurant charges $15 for a jumbo size cheese pizza.

Each of the additional topping costs $1.35.

Here we have to determine an equation, in the slope-intercept form, to represent the total cost, y, for x toppings on a jumbo pizza.

Considering y as the cost of pizza and x be the amount of topping added.

Cost of a pizza with toppings

y = 1.35 x + 15

The equation for the slope-intercept form is y = mx + c

m will be the slope of the equation.

Here, the slope of the equation is 1.35

The Y-intercept is equivalent to the price of the base pizza i.e. 15

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a car is driven at 70 miles per hour over a road whose surface is sinusoidal with a period of 30 feet. how many times per second will the car go over the peak of a bump?

Answers

When travelling at 70 mph over a road with a sinusoidal surface, an automobile crosses its peak 1.9556 times every second.

what is trigonometry ?

The relation between rectangle side angles and the lengths is examined in the mathematics branch known as trigonometry. The application of geometries in astronomical study gave rise to the county's first appearance in the Hellenistic era, roughly in the third centuries BC. Exact approaches mathematics concentrate on certain right triangle and how they could be applied to calculations. In trigonometry, there are six well-known trigonometric expressions. They are known by their various names and acronyms: sine, cosine, parallel, cotangent, cotangent, and cosecant (csc). The features of all geometric forms are studied in geometry.

given

first convert 40 miles per hour (mph) into feet per second (fps):

1 mile is equal to 5280 feet, and a speed of 40 miles per second is equal to 3600/405280, or 58.6667 feet per second.

Second, determine how many times per second the car will pass a bump:

The vehicle crosses a sinusoidal road with a period of 30 feet, where

P = 30 feet frequency

speed/P = 30/58.667 = 1.9556 times per second.

When travelling at 70 mph over a road with a sinusoidal surface, an automobile crosses its peak 1.9556 times every second.

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There are 25 flowers in all in the garden. Daisies make up 60% of the flowers in the garden. How many flowers in the garden are daisies?

Answers

Answer:

The number of daisies in the garden is 25 x 60% = 15 flowers.

Step-by-step explanation:

The solution for the number of daisies in the garden is found by multiplying the total number of flowers by the proportion that are daisies.

25 flowers * 60% daisies = 15 daisies

So, there are 15 daisies in the garden.

Un randonneur a une vitesse moyenne de 6 km/h
a.Quel temps met-il pour parcourir 18 km/h?
b.Quelle distance parcourt-il en 30 min ?

Answers

Answer:

a. 3 heures

b. 3 km

Step-by-step explanation:

a. Pour parcourir 18 km, un randonneur met 18 km / 6 km/h = 3 heures.

b. Pour parcourir une distance en 30 minutes, la vitesse est de 18 km / 3 heures = 6 km/h, donc la distance parcourue en 30 minutes est 6 km/h * 30 min / 60 min = 3 km.

Select all the equations that are equivalent. A. 52 = 8n + 4 B. 4(2n + 1) = 52 C. 4 = 52 – 8n D. 4n = 48 E. n = 6

Answers

The equivalent equations are:

52 = 8n + 4

4(2n + 1) = 5

4 = 52 – 8n

n = 6

Options A, B, C, and E are the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 5 is an equation.

We have,

A.

52 = 8n + 4

8n = 52 - 4

8n = 48

n = 6

B.

4(2n + 1) = 52

8n + 4 = 52

8n = 52 - 4

8n = 48

n = 6

C.

4 = 52 – 8n

8n = 52 - 4

8n = 48

n = 6

D.

4n = 48

n = 12

E.

n = 6

Thus,

The equivalent equations are:

52 = 8n + 4, 4(2n + 1) = 5, 4 = 52 – 8n, and n = 6.

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Find the Missing Sides of the 30-60-90 special right angle.

Answers

Answer:

10.39

Step-by-step explanation:

In a 30-60-90 right triangle, the ratio of the three sides are
√3 : 1 : 2

The longest side is, of course, the hypotenuse

In general, if the hypotenuse is a, The side opposite the 30° angle is a/2 and the side opposite the 60° angle is a(√3/2)

Given a = 12, y = 12/2 = 6

x =  ( √3/2) x 12 = 10.39

saeng wants to run the 100-meter-dash in a certain number of seconds.the table shows the change in times from her goal and her actual times for five races. between which two race numbers is saeng's third race.


race change in time from goal (s)

1 -1.2

2 +1 1/10


3 -1 1/4


4 -1.4

5 +1 1/2

Answers

Saeng's third race is between race 2 and race 3.

What is ordering?

Ascending order: Arranging the numbers from lowest number to highest number.

Descending order: Arranging the numbers from highest number to lowest number.

The times for 5 races are given in the table  

  Race       timings

      1              -1.2

      2             [tex]+1\frac{1}{10}=1.1[/tex]    

      3              [tex]-1\frac{1}{4}=-1.25[/tex]

      4              - 1.4

      5               [tex]+1\frac{1}{2}=1.5[/tex]

Arranging the timings in ascending order we get,

-1.4,-1.25,-1.2,1.1,1.5

Hence third race is -1.2 it lies between race 2 and race 3.

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