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34kurt
3 years ago
5

If a circle has a diameter of 11.5 feet, what is the area?

Mathematics
1 answer:
OverLord2011 [107]3 years ago
3 0

Answer:

103.87 ft.

In this case, area equals \pi r^2

The diameter is 2r

But before worrying about anything else, we must start the problem. Let's do that now.

The first step is to find the broken-down form of the area.

A = \frac{1}{4} \pi d^2

Next, break this equation into a solvable definition.

\frac{1}{4} * \pi  * 11.5

Lastly, solve this equation, and round.

A ≈ 103.86891~ft^2

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Let f(x)=(x-2)^3+8 Find the inverse of f(x). Please show steps in written form would be gladly appreciated
Tatiana [17]

Hello from MrBillDoesMath!

Answer:

(x-8)^(1/3) +2

Discussion:

To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8  and solve for y.

y = (x-2)^3 +8          =>  original function. swap x and y values

x = (y-2)^3 + 8        =>  subtract 8 from both sides

x - 8  = (y -2)^3        =>  take cube root of both sides

(x-8)^(1/3) = y - 2     => add 2 to both sides

(x-8)^(1/3) +2 = y      => y is the inverse



Thank you,

MrB

4 0
3 years ago
What is the repeating or terminating decimal that is equivalent to 11/36
Oduvanchick [21]

Answer:

0.30555555....

Step-by-step explanation:

(The fives keep on coming, this is a repeating decimal.)

3 0
3 years ago
A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 perrl cup. Company D does not have a
bezimeni [28]

Answer:

11 cups

Step-by-step explanation:

Not really a method just started at 10 and then realised deal d was better so go up by one so 11 and c worked out better as I timed 30 by 11 and 15 by 1 + the flat fee.

8 0
4 years ago
In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1
olasank [31]

Answer:

1,500

Step-by-step explanation:

Ratio of Sugar to Flour: 5:8 -> 25:40

Ratio of Flour to Baking Soda: 10:1 -> 40:4

Sugar to Flour to Soda: 25x:40x:4x

\frac{40x}{(4x+60)} = \frac{8}{1} -> x = 60

Sugar = 25x = 1,500

Hope this helps :)

7 0
3 years ago
A man is dealt 5 cards one after the other from an ordinary deck of 52 cards. what is the probability p that they are all spades
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4/52
3/51
2/50
1/49
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3 years ago
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