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bazaltina [42]
2 years ago
13

Find the area of the circle. Leave your answer in terms of π.

Mathematics
1 answer:
seraphim [82]2 years ago
5 0

Answer:

4π

Step-by-step explanation:

We are asked to calculate the area of a circle whose diameter is equal to 4, we know that the area of the circle is given by the following equation:

A = π * (r ^ 2)

where r is the radius of the circle, we know that the radius of the circle is half the diameter, therefore:

r = d / 2 = 4/2

r = 2

replacing, we are left with:

A = π * (2 ^ 2)

A = 4π

Which means that the area of the circle is 4π

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german
Hello,

Let's calculate the radius:

r²=5²+7²=74

The circle's equation is (x+5)²+(y+7)²=74

Answer C
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A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 1/3x. Find the height of
Temka [501]

Great question! I had this question in Geometry on Edmentum.

Answer: Height of cone = 3y

Step-by-step explanation:

We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:

Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
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The answer is A
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Simplify (2z^5)(12z^3)/4z^4
Sphinxa [80]

Answer:

6z^{4}

Step-by-step explanation:

Given in the question an expression,

\frac{ (2z^5)(12z^3)}{4z^4}

Step 1

Apply exponential "product rule"

x^{m}x^{n}=x^{m+n}

\frac{ 12(2)z^5)(z^3)}{4z^4}

\frac{ (24)z^5)(z^3)}{4z^4}

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Step 2

Apply exponential " divide rule"

\frac{x^{m}}{x^{n}}=x^{m-n}

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\frac{6(z^{8-4})}{1}

6z^{4}

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