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tankabanditka [31]
3 years ago
7

A circular plate has circumference 32.7 inches. What is the area of this​ plate? Use 3.14 for pie.

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer: 85.13

Step-by-step explanation:

We know:

Circumference = 2*3.14r

Area of a circle = 3.14r²

We need to find the radius given the circumference before solving for the area:

32.7 = 2*3.14r

32.7/6.28 = 6.28r/6.28

r = 5.20700637

Now that we know the radius, we can plug it in to find the area:

A = 3.14(5.20700637)²

A = 3.14(27.1129153)

A = 85.134554

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Calculate the average rate of change for the given function, from x = −3 to x = 7.
emmainna [20.7K]

Answer:

The average rate of change for the given function, from x = −3 to x = 7 will be:

  • Average rate = -5

Step-by-step explanation:

Given the table

x                      f(x)

-3                     50

3                      10

7                       0

As the interval is from x = -3 to x = 7.

so

at x₁ = -3, f(x₁) = 50

at x₂ = 7,  f(x₂) = 0

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                       = [0 - 50] / [7-(-3)]

                      = [-50] / [7+3]

                      = -50 / 10

                      = -5

Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:

  • Average rate = -5
6 0
3 years ago
What type of triangle center is shown as point C in the figure?
nika2105 [10]

Answer:

D

Step-by-step explanation:

notice the circle around the triangle

4 0
2 years ago
I will give the brainliest answer !!!
zubka84 [21]

Answer: 41 degrees

Step-by-step explanation:

measure of angles in a triangle is 180 degrees

So

87 + 52 + ? = 180

139 + ? = 180

? = 41

4 0
3 years ago
Read 2 more answers
Which of the following represents a radius of the circle?
Olegator [25]
Mn is the correct answer
4 0
3 years ago
Plz help! Don’t understand this question
solniwko [45]

Answer:

11.91

Step-by-step explanation:

The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.

In triangle TUV, the side length created by the points VT is the hypotenuse.

For right-angle triangles, you can use the Pythagorean theorem to find any side.

It's in the format side² + side² = hypotenuse².

To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).

The lengths of other sides:

VU:

-3 is the same. The length is 3.5 - (-5.75) = 9.25

UT:

-5.75 is the same. The length is 4.5 - (-3) = 7.5

Substitute the lengths into the Pythagorean theorem:

a² + b² = c²

9.25² + 7.5² = c²  Simplify

141.8125 = c²  Find the square root of both sides to isolate c

c = 11.91  Final answer, length of VT

7 0
3 years ago
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