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Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

Given the following data:

From the middle, the diameter of this circle is given by:

D = 1/2 (10 + 13)

D = 11.5 cm.

Now, we can calculate the perimeter:

Perimeter = πD

Perimeter = 3.142 × 11.5

Perimeter = 36.13 cm.

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Answer: The area of the square is 400sqf.

Answer 2: Area of circle = 509.31 square feet.

Answer 3: The circle because the circle's are is larger

Answers:

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Explanation:

The rope forms the perimeter of each shape. This is the distance around the outer edges.

The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.

The area of the square is 20*20 = 400 square feet.

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The circle has a circumference of 80 feet, which leads to a radius of...

C = 2*pi*r

r = C/(2pi)

r = 80/(2pi)

r = 12.732395

which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.

Then use this to find the area of the circle

A = pi*r^2

A = pi*(12.732395)^2

A = 509.295782

This value is also approximate.

When rounding to the nearest whole number, we get A = 509

The area of the circle is about 509 square feet.

The circle has the largest area.

Answer:

45,000 people

Step-by-step explanation:

Simplifying the expected ratio

Multiply the ratio with 60,000

Let they be x

Answer:

Y = 2

X = - 2

Step-by-step explanation:

8x-4y= - 24 eq 1

4x-12y = - 32 eq 2

Multiply equation 2 by (×-2)

Then

-8x +24 y = 64. Eq 3

Add eq 1 to eq 3

20y = 40 then y = 2

From eq 1

8x - 4(2) = - 24

8x = - 16

X = - 2

Answer:

[tex]x=\frac{\pi}{2}, x =\frac{3\pi}{2}[/tex]

Step-by-step explanation:

Answer:

x = 6.4

Step-by-step explanation:

Taking the sin ratio of the angle :

A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.

    I am going to assume this is a square pyramid and the base is 4 cm², in other words, 2 * 2 = 4

Answer: 5 cm³

Step-by-step explanation:

     We will use the formula for a pyramid and solve.

[tex]\displaystyle V=\frac{lwh}{3}[/tex]

[tex]\displaystyle V=\frac{(2)(2)(3.75)}{3}[/tex]

V = 5 cm³

Hi Student!

This question is pretty straight-forward because it is asking for us to solve to equation using square roots.  We don't need to find any important information as this problem is pretty simple.  We just need to use some algebra to move numbers around and we will get our answer.

Add 81 to both sides

Square root both sides

Therefore, after solving for x we were able to determine that the solutions that we have for this equation are both 9 and -9.  If we want to test this we can plug in the values into x and we would see that both 9 and -9 would produce the same results as negatives don't matter when we are squaring numbers.

Answer:

Exact form: y = [tex]\frac{14}{5}[/tex]

Decimal form: y = 2.8

Step-by-step explanation:

Distribute:

6(2y - 3) - 10 = 2y

12y - 18 - 10 = 2y

Subtract the numbers:

12y - 18 - 10 = 2y

12y - 28 = 2y

Add 28 to both sides:

12y - 28 = 2y

12y - 28 + 28 = 2y + 28

Simplify:

Add the numbers

12y = 2y + 28

Subtract 2y from both sides:

12y = 2y + 28

12y - 2y = 2y + 28 - 2y

Simplify:

Combine like terms

10y = 28

Divide both sides by the same factor:

10y = 28

10y/10 = 28/10

Simplify:

Cancel terms that are in both the numerator and denominator

Divide the numbers

y = 14/5

Answer:

13 gallons of gas.

Step-by-step explanation:

If amelia used 16 gallons of gas for 656 miles, she is traveling 41 miles per gallon. (656 divided by 16). So we take the amount she needs to travel which is 533, and divide it by 41 because 41 miles is equal to one pound of gas, so, 533 divided by 41 is 13, she needs 13 gallons of gas to travel 533 miles.

Answer:

$22,883

Step-by-step explanation:

Principal Amount ( P ) = $16250

Interest Rate ( r ) = 4.9% or 0.049( divide by 100)

Term ( t ) = 7

Compounded monthly( n ) = 12

Formula for Compound Interest:

A = P ( 1 + r/n)^nt

A = Future value

Solution:

Substitute the given values of P, r, n and t to the formula for the compound interest.

A = $16250 ( 1 + 0.049/12)^(7)(12)

A = $16250 ( 1.004083333)^(84)

A = $16250 ( 1.408184955 )

A = $22,883

Answer:

2.6

Step-by-step explanation:

 A= -1.3

B=1.3

1.3--1.3=2.6

Answer:

2.6 units

Step-by-step explanation:

If you round down the distance is 2. then you all the 2 decimals 0.3 and 0.3 to get 2.6 units.

Muscular Endurance - The ability of a skeletal muscle or group of muscles to continue contracting over a long period.

Step-by-step explanation:

I hope it'll help you...

Answer:

Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time.

Step-by-step explanation:

:)

Make dots at the given x and y values and draw a line through them.

see attached image

Answer: 15.01

Step-by-step explanation:

The best evidence to show which diver had greater overall success is Marta was more successful because she had the greater total spread.

Box Diagram provides a quick visual summary of the variability of values ​​in a dataset. They show the median values, upper and lower quartiles, minimum and maximum values, and any outliers in the dataset.

In this case, the  total spread of Ani is from 4.5 to 9.5 and the  total spread of Marta is from 4 to 10, we can conclude that Marta was more successful than Ani because of greater total spread.

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Answer:

it a nice graph I made

Step-by-step explanation:

yeah just click the image

Answer:

5

Step-by-step explanation:

→ The radius is square root of the last number which is usually denoted by r² in the format ( x - a )² + ( y - b )² = r²

The coordinates of the image of (-3, -7) after the translation will be equal to .(-12,2)

The process of changing the location of the image on the coordinate system will be known as the translation. Here the image is translated as (x-9,y+9).

The given coordinate of the point is:- (-3,-7)

So the translation will be calculated as:-

=(x-9,y+9 )

=(-3-9,-7+9

=(-12,2)

Hence coordinates of the image of (-3, -7) after the translation will be equal to (-12,7)

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The constant of proportionality between y and x in the graph is 3/2 option third is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have a graph shown in the picture.

As we can see, the given graph shows a line, which passes through (0, 0)

y = ax

a is the constant of proportionality.

We have two points (0, 0) and (6, 9) (from the graph)

From the above two points, we can find the equation of a line.

y = (9/6)x

y = (3/2)x

The value of the constant of proportionality is 3/2

Thus, the constant of proportionality between y and x in the graph is 3/2 option third is correct.

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Answer:

[tex]P(\text{Disney}| \text{Pixar})\approx0.929[/tex]

Step-by-step explanation:

[tex]P(\text{Disney}| \text{Pixar})=\frac{P(\text{Disney and Pixar})}{P(\text{Pixar})}\\\\P(\text{Disney}| \text{Pixar})=\frac{0.65}{0.70}\\\\P(\text{Disney}| \text{Pixar})\approx0.929[/tex]

8.31 8.3 8.296 8.06

youre welcome

The correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.

let's order the decimals from greatest to least:

1. 8.31

2. 8.3

3. 8.296

4. 8.06

So, the correct order from greatest to least is: 8.31, 8.3, 8.296, 8.06.

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The mapping diagram given is a function.

-Hope it helps!!

Answer:

monomial

Step-by-step explanation:

The Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

The circumcenter of a triangle is the point which lies in the center of the triangle and at the equidistant from all the three vertex of the triangle.

Taliya gets a summer job. She was in charge of placing a cell tower which should be equidistant to an elementary school, shopping mall, and starbucks.

The three locations form a triangular pattern on the map.  Now the Taliya were to use a center of triangle.

Thus, the Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

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Answer:

Step-by-step explanation: