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2 years ago

10

Find the area of the composite figure in terms of the figure (use 3.14 for pi)

1 answer:

svp [43]2 years ago

5 0

Answer:

105.12 ft²

Step-by-step explanation:

Let's first find the area of the rectangle.

$10\cdot8=80$ ft², so the rectangle has an area of 80ft².

To find the area of the semi-circle, we find the area of a whole circle and divide by two.

The formula to find the area of a circle is $\pi r^2$ . The radius is 4, as the diameter is 8.

$3.14\cdot4^2$

$3.14\cdot16$

$50.24\div2=25.12$

Add 80 and 25.12:

$80+25.12=105.12$

Hope this helped!

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3 years ago

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Calculate the volume of the cylinder. Use button, not 3.14. Round answer to the tenth place.

Volgvan

Answer:

68.69 m^3

Step-by-step explanation:

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2 years ago

Drag values to complete each equation.

Alex777 [14]

Answer:

1. A. 1

2. D. $17^9$

Step-by-step explanation:

Properties used:

Power of a Power Property
Product Property
Quotient Property
Zero Exponent Property

1. First, let's deal with the numerator.

$(17^3)^6$ can be turned into $17^1^8$ by using the Power of a Power Property.

And then use the Product Property, $(17^1^8)(17^-^1^0) = 17^8$

So now, our fraction is this: $\frac{17^8}{17^8}$

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: $\frac{a^m}{a^n} = a^m^-^n$ or $\frac{1}{a^(^n^-^m^)}$ . Which then you plug the numbers in: $\frac{17^8}{17^8} = 17^8^-^8 = 17^0$ . And since we know that in Zero Exponent Property: $a^0 = 1$ , we can see that $17^0 = 1$ . So either way, we get 1.

So the answer is 1, which is A

2. Power of a Power Property: $(a^m)^n = a^m^n$

So plug the numbers in the property: $(17^{6}) ^3$ = $17^1^8$

Product Property: $(a^m)(a^n) = a^m^+^n$

We plug the equation in with $(17^{6}) ^3$ turned into $17^1^8$ ---

$(17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9$

So the answer is $17^9$ , which is D

I hope this helps!
Please give Brainliest!

Have a great day!

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2 years ago

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