Mathematics Middle School

## Answers

**Answer 1**

**Step-by-step explanation:**

total ratio = 3+4+7 = 14

3/14×180= 38.57°

4/14×180= 51.43°

7/14×180 = 90°

**Answer 2**

**Answer:**

total ratio = 3+4+7 = 14

3/14×180= 38.57°

4/14×180= 51.43°

7/14×180 = 90°

**Step-by-step explanation:**

## Related Questions

The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynomial. check all that apply

### Answers

**Answer:**

The correct options are:

**x= -1.1**

**x= 2.4**

**x = 6**

**Step-by-step explanation:**

The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0. that are

At x= -1.1

At x= 2.4

At x = 6

Thus, these are the roots

can anyone help me with these?

### Answers

**Answer:**

**Step-by-step explanation:**

Distributive property: a*(b + c) = ab + ac

16)5x²(7 - x²) = 5x²*7 - 5x²*x²

=35x² - 5x⁴

17)

10x(4 - 3x) = 10x*4 - 10x*3x

= 40x - 30x²

18) 9( y +4) = 9*y + 9*4

= 9y + 36

19) 3(4 - x) - 3(2 - x) = 3*4 - 3*x -3*2 - x*(-3)

= 12 - 3x - 6 + 3x {add/subtract like terms}

= 12 - 6 - 3x + 3x

= 6

20) 6y + 6(y - 4) = 6y + 6*y - 6*4

= 6y + 6y - 24

= 12y - 24

In how many different ways can 6 people be seated at a round table

### Answers

120

1x5x4x3x2x1

The nth term is going to be (n-1)

Caroline and Diana drive from city A to city B at respective rates of 60 mph and 45 mph. They both started driving from city A at 9:30 a.m. If Caroline reached Boston at 1:45 p.m., what time did Diana reach city B?

### Answers

**Answer:**

4:20 PM

**Step-by-step explanation:**

Caroline travels at 4/3 the speed Diana does. In that same way, we can use the reciprocal and see that Diana's speed is 3/4 the speed of Caroline's speed. This means that Diana would've been done with 3/4 of her route when Caroline reached at 1:45 PM. Now we can find the time Caroline took: 10:30, 11:30, 12:30, 1:30, 1:45. This means it took Caroline 4h 15min to reach City B. Now we have to do 4*60+15= 255 minutes *4/3. 255*4/3 = 340 minutes. It took Diana 340 minutes. Now we have to count this time from 9:30 AM. 7 hours is 350 minutes, so it took Diana 7 hours - 10 minutes = 6h 50 minutes. 9:30+6h 50min = 4:20 PM

PLZ HELP here are three triangles shown separately, these triangles are similar. How do you know?

### Answers

**Answer:**

Using the AA similarity postulate, you can determine that these triangles are similar.

**Step-by-step explanation:**

All three triangles are right triangles, so they all have 90° angles.

Angle B is present in the large and small triangle. Therefore, you know those 2 triangles are similar. You can also prove that angles A and C are the same.

A and B are complementary angles in the large triangle and the same with B and C in the small one. Since B ≅ B by Reflexive Property, A and C must have the same angle measurement since they are complements of the same angle.

**Answer: Becasue the AA similarity Postulate**

**Step-by-step explanation:**

PLEASE ANSWER ASAPPPP I WILL GIVE BRAINLY!!!!!!!!!!!

### Answers

**Answer:**

[tex]-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20\left(-\frac{8}{7}\right)[/tex]

the last one

**sorry for getting this wrong...............**

Evaluate the limit. 8n^+5n+2/3+2n

### Answers

Answer: 16n + 7

Step-by-step explanation:

The limit of the expression can be achieved by differentiating the expression.

8n^2+5n+2/3+2n

Collect the likes term and rearrange

8n^2+7n+2/3

Differentiating with respect to n

(2×8)n^2-1 + 7n^(1-1)

16n + 7

2/3 automatically equal to zero since it has no variable n

Therefore, the limit of the expression is 16n + 7

State if a triangle is acute, obtuse, or right.

3 am

3 am

5 cm

A) Acute

B) Right

C) Obtuse

ANSWER QUICK 10 POINTS!!

### Answers

The answer is A) Right because the lengths 3 cm and 3 cm are obviously the same so it will form a right angle

**Answer:**

Acute.

**Step-by-step explanation:**

This is a right angle:

|_ (Basically angle makes an "L" shape and equals to 90 degrees)

This is an obtuse angle:

\_ (Basically like a fat/big angle that is greater than 90 degrees)

This is an acute angle:

/_ (Basically "a-cute" angle that is small and is less than 90 degrees)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope that helps and maybe earns a brainliest! :)

Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.

### Answers

Is there any picture we can work with?

the volume of a sphere is 4000 pi m^3. what is the surface area of the sphere to the nearest square meter? A. 2,614m^2 B. 3,836m^2 C. 1,307m^2 D. 794m^2

### Answers

**Answer:**

**A. 2614 m^2** to the nearest square meter.

**Step-by-step explanation:**

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi * (∛(3000)^2

= 4 * pi * 208.008

= **2613.91 m^2.**

Algebra help needed

### Answers

**Answer: I had the same one**

**Step-by-step explanation: I DON'T GET IT EITHER**

Fill in the missing values in the pattern:

-7, , 3, , 13,...

### Answers

-7, -2, 3, 8, 13....

**Answer:**

**-2 and 8.**

**Step-by-step explanation:**

The difference between 3 and -7 = 3 - -7 = 10

and between 13 and 3 = 10 also.

So the missing 2 numbers are -5 + 5 = -2

and 3 + 5 = 8 so the pattern is

-7, -2, 3, 8, 13 where the common difference is 5.

Carol is cross-country skiing. The table shows the distance she traveled after various numbers of minutes. What is the rate of change? Distance Carol Traveled while Cross-Country Skiing Minutes Distance Traveled (miles) 2 StartFraction 1 Over 6 Endfraction 3 StartFraction 17 Over 48 EndFraction 4 StartFraction 13 Over 24 EndFraction 5 StartFraction 35 Over 48 EndFraction 6 StartFraction 11 Over 12 EndFraction StartFraction 1 Over 12 EndFraction StartFraction 1 Over 6 Endfraction StartFraction 3 Over 32 EndFraction StartFraction 3 Over 16 EndFraction

### Answers

**Answer:**

3/16 miles/minute

Step-by-step explanation:

A rate of change describes how an output quantity changes relative to the change in the input quantity.

Points given:

Input Output

2 1/6

3 17/48

4 13/24

5 35/48

6 11/12

Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12

Calculating the rate of change using the first two pairs of input-output values

Relative change = change in distance/change in time

(17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute

We will get the same result if we take any other ordered pair of input and output values.

So D is your answer! Hope this helped!

**Rate of change **is the **change **in a particular **variable**, over another **variable**.

The **rate of change **is: 3/16 miles per minutes

To calculate the **rate of change**, we select any **two points **on the table (see attachment)

[tex](x_1,y_1) = (2,\frac 16)[/tex]

[tex](x_2,y_2) = (3,\frac{17}{48})[/tex]

The **rate of change (m)** is calculated as follows:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{3-2}[/tex]

[tex]m = \frac{\frac{17}{48} - \frac{1}{6}}{1}[/tex]

[tex]m = \frac{17}{48} - \frac{1}{6}[/tex]

Take LCM

[tex]m = \frac{17- 8}{48}[/tex]

[tex]m = \frac{9}{48}[/tex]

Reduce fraction

[tex]m = \frac{3}{16}[/tex]

*Hence, the rate of change is: 3/16 miles per minutes*

Read more about **rates of change **at:

https://brainly.com/question/13103052

PLEASE ANSWER ASAP I WILL MARK BRAINLY IF CORRECTTT

### Answers

**Answer:**

The answer is: **$0.51**.

**Step-by-step explanation:**

Since Maggie bought 4 boxes of cereal then the total cost of the cereal she bought is $9.60 or 960 cents. $10.11 can be converted to 1011 cents:

1011 - 960 = 51

The amount of money we're left with is **51**.

**Answer: A) $0.51**

**Step-by-step explanation:**

Maggie bought 4 boxes of cereal, each costing $2.40. Thus, she spent $2.40*4, or $9.60 on cereal. Because she spent $10.11, she spent $10.11-$9.60=**$0.51**

Hope it helps <3

Please Help! The figure is composed of a regular pentagon and a rectangle. What is the measure of each of the angles identified as x?

### Answers

**Answer:**

[tex]x=36^{\circ}[/tex] is the required answer.

**Step-by-step explanation:**

The angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. The Sum of adjacent angles is [tex]180^{\circ}[/tex]

[tex]x+108^{\circ}+x=180^{\circ}\\\\\Rightarrow x=36^{\circ}[/tex]

[tex]108^{\circ}[/tex] represents the internal angle of a pentagon.

Best Regards!

The **value **of x is,

⇒ x = 36

Since, We have to given that,

The figure is **composed **of a regular **pentagon **and a rectangle.

We know that,

Since, Sum of all the angles of a regular pentagon is, 540 degree

Hence, Each angle of a **pentagon **is,

⇒ 540 / 5

⇒ 108 degree

So, By given figure we get;

⇒ x + 108 + x = 180

(By** linear pair **angles)

⇒ 2x + 108 = 180

·⇒ 2x = 180 - 108

⇒ 2x = 72

⇒ x = 36

Learn more about the **pentagon **visit:

https://brainly.com/question/29673128

#SPJ2

In your own words, explain HOW to find the standard deviation of this data set.In your own words, explain HOW to find the standard deviation of this data set. Somebody plz help me I need this bad.

### Answers

**Answer:**

The answer is below

**Step-by-step explanation:**

The standard deviation formula is as follows:

[tex]SD = \sqrt{\frac{Sum|x - m|^2}{N} }[/tex]

where sum means "sum of", x is a value of a data set, m is the mean of the data set, and N is the number of data.

The standard deviation formula may seem confusing, but it will make sense after we break it down. In subsequent sections we will explain an interactive example, step by step. Here's a quick preview of the steps we're about to follow:

Step 1: Calculate the mean with the data from the graph.

Step 2: Calculate the square of the subtraction between the mean and each data (that is, each x).

Step 3: add the values that resulted from step 2.

Step 4: divide by the number of data.

Step 5: take out the square root.

And in this way you can obtain the standard deviation

An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? help me plss D:

### Answers

**Answer:**

1/12t=1/3h

t=?

1/12t*12=t

t=(1/3h)*12

t=4h

filling the tank takes **4 hours**.

What is the best way to display a set of data with a wide range, where you want to be able to find the measures of central tendency? dot plot frequency table histogram stem-and-leaf plot

### Answers

**Answer:**

The correct option is;

Histogram

**Step-by-step explanation:**

The measures of central tendency are the mode, the mean, and the median which defines the alternative indications of the center of the distribution

To display a data set that has a wide value range where it is desirable to be able to find the measures of central tendency, the histogram is best

Data are displayed graphically on an histogram with bars, which are grouped into the data ranges, are of varying heights proportional to the data range that they represent, such that the shape and the distribution of the data is represented from which the median can be found from the distribution, the mode can be found from the height and shape, while the mean can be found by analyzing the shape and distribution together.

Find the focus and the directrix of the parabola with the equation y= -1/12(x - 4)2

+2.

### Answers

**Answer:**

**Step-by-step explanation:**

Please write this as y = (-1/12)(x - 4)^2 +2.

Compare this to y = 4p(x - h)^2 + k. (h, k) represents the vertex. Here the vertex is (4, 2).

Note that (-1/12) corresponds to 4p, where p is the distance between the focus and the vertex and also the distance between the focus and the directrix. If (-1/12) = 4p, then p = -1/48. Because p is negative the parabola opens down.

To find the equation of the directrix, add p to the vertex x-coordinate:

**Equation of directrix: x = 4 1/12**

**Focus: x = 4 - 1/12 = 3 11/12**

Multiply . Simplify (or reduce) your answer , if necessary 5 multiplied 9/10

### Answers

**Answer:**

that doesnt make sense dooooooode

**Step-by-step explanation:**

lol

**Answer:**

**Step-by-step explanation:**

[tex]5*\frac{9}{10}=1*\frac{9}{2}=\frac{9}{2}=4\frac{1}{2}[/tex]

Quadrilateral QRST is similar to quadrilateral EDGF. What's the scale factor from EDGF to QRST? Question 15 options: A) 5∕6 B) 6∕5 C) 5∕4 D) 6∕7

### Answers

Is there any picture?

**Answer: B) 6/5**

**Step-by-step explanation:**

Factor 3y 2 - 4y. a. y(4 - 3y) b.y(3y - 4) c.y(4y - 3)

### Answers

**Answer:**

b. y(3y - 4)

**Step-by-step explanation:**

[tex]3 {y}^{2} - 4y \\ = y(3y - 4)[/tex]

Kathryn's school is selling tickets to a choral performance. On the first day of ticket sales the school sold 6 adult tickets and 11 student tickets for a total of $118. The school took in $156 on the second day by selling 12 adult tickets and 12 student tickets. What is the price of each adult ticket? What is the price of each student ticket?

### Answers

**Answer:**

Adult price $5

Student price 8$

**Step-by-step explanation:**

Hello!

The school sells tickets for the choral performance with different prices depending on the ticket is for an adult or for a student of the school.

If X represents the price of an adult ticket and Y represent the price of a student ticket using the given information you can determine a set of two equations with two unknown values:

Day 1: 6 adult tickets and 11 student tickets for a total of $118

Symbolically: 6X + 11Y= $118

Day 2: 12 adult tickets and 12 student tickets for a total of $156

Symbolically: 12X + 12Y= $156

Step 1

From one of the formulas, clear one of the unknown values:

[tex]12X + 12Y= 156\\12Y= 156- 12X\\Y= \frac{156-12X}{12} \\Y= 13 - X[/tex]

Step 2

Replace the value obtained in step one in the second formula:

[tex]6X + 11Y= 118\\6X + 11(13 - X)= 118\\6X + (11*13) - 11X = 118\\6X -11X + 143= 118\\-5X= 118 - 143\\-5X= -25\\X= 5[/tex]

The ticket price for an adult is $5

Step 3

Using the value of X obtained in step 2, replace in the formula for Y to obtain the ticket price for students:

Y= 13 - X= 13 - 5= $8

I hope this helps!

A professional basketball team made 37.9% of its three-point field goals in one season. If 80 three-point field goal attempts are randomly selected from the season, what is the probability that more than 35 were made? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability. Round your answer to four decimal places.

### Answers

**Answer:**

**The probability that more than 35 were made is 0.14686.**

**Step-by-step explanation:**

We are given that a professional basketball team made 37.9% of its three-point field goals in one season.

80 three-point field goal attempts are randomly selected from the season.

Let [tex]\hat p[/tex] = *sample proportion of three-point field goals made in one season.*

**The z-score probability distribution for the sample proportion is given by;**

Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}} }[/tex] ~ N(0,1)

where, p = population proprotion of three-point field goals = 37.9% = 0.379

n = sample of three-point field goal attempts = 80

[tex]\hat p[/tex] = sample proportion of three-point field goals = [tex]\frac{35}{80}[/tex] = 0.4375

**Now, if 80 three-point field goal attempts are randomly selected from the season, the probability that more than 35 were made is given by = P(**[tex]\hat p[/tex]** > 0.4375)**

P([tex]\hat p[/tex] > 0.4375) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}} }[/tex] > [tex]\frac{0.4375-0.379}{\sqrt{\frac{0.4375(1-0.4375)}{80}} }[/tex] ) = P(Z > 1.05) = 1 - P(Z [tex]\leq[/tex] 1.05)

= 1 - 0.85314 = **0.14686**

The above probability is calculated by looking at the value of x = 1.05 in the z table which has an area of 0.85314.

Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.

### Answers

**Step-by-step explanation:**

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

-6+(-2)= -8

-2*(-6)= 12

now the polynomial quadratic is:

(x+6)(x+2)

What is the value of the expression shown below? 7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3 8 8 and 1 over 6 8 and 1 over 8 79

### Answers

**Answer:**

C

**Step-by-step explanation:**

13 that would give you 2 I can't stop my voice recorder

Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x-2)(x-1)(x-4)

### Answers

**Answer:**

The last one

**Step-by-step explanation:**

The zeros of a function f(x) are the values of x such that f(x)=0. Since the coordinate y equals f(x), we must look for the values where y=0 (x-intersect).

Since f(x) is factorized, f(x)=0 only when one of its factors equals zero.

So we have

f(x) = 0 ===> x+2 = 0 OR x+1 = 0 OR x+4 = 0

and we have

x = -2 or x = -1 or x = -4

Hence the function must intersect the x-axis at these points.

The only graph that matches the requirements is the last one.

If I'm wrong I'm so sorry!

If I'm right Thank you and (Brainliest plz)

plz help, I need it asap

### Answers

**Answer:**

see below

**Step-by-step explanation:**

15+2x> 31

Subtract 15 from each side

2x > 16

Divide by 2

2x/2 > 16/2

x > 8

There is an open circle at 8

The line goes to the right

open circle at 8, line going to the left

(80 pts, pls help!) Using the following sample space: {(G,G), (B,G), (B,G), (B,B)} define the random variable for picking an outcome of green.

### Answers

**Answer:**

X = 1, 2.

**Step-by-step explanation:**

In the sample space, the most greens you can get are 2. The only other thing with green would be one green in the pair. So, the random variable for picking an outcome of green would be **X = 1, 2**.

Hope this helps!

Which of the following best describes the relationship between (x + 2) and

the polynomial 3x2 - x - 14?

### Answers

**Answer:**

B. (x+2) is a factor

**Step-by-step explanation:**

3x^2 -x-14

3x^2+6x-7x-14

3x(x+2)-7(x+2)

(3x-7)(x+2)

so, x+2 is a factor of 3x^2-x-14