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2 years ago

The area of a circular trampoline is 115.88 square feet. What is the radius of the trampoline? Round to the nearest hundredth.

1 answer:

3 0

$\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=115.88
\end{cases}\implies 115.88=\pi r^2
\\\\\\
\cfrac{115.88}{\pi }=r^2\implies \sqrt{\cfrac{115.88}{\pi }}=r$

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3 years ago

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505ft below the surface

Step-by-step explanation:

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3 years ago

Mark invests $4200 in two different accounts. The first account paid 3 %, the second account paid 7 % in interest. At the end of

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Answer:

3% interest account = $2,700

7% interest account = $1,500

Step-by-step explanation:

We have to use equation to find the answer. Again, we are using simple interest to find how much is in each account.

We know, Interest = Capital x Interest rate x year

Let,

3% interest account = X

7% interest account = Y

According to the question,

X*0.03*1 + Y*0.07*1 = 186 ................. (i)

Again, X + Y = 4200 .................. (ii)

From equation (Ii), we get,

or X = 4,200 - Y ...................... (iii)

Putting the value of X in equation (i), we can get,

(4,200 - Y)*0.03*1 + Y*0.07*1 = 186

or, 126 - 0.03Y + 0.07Y = 186

or, 0.04Y = 186-126

or, 0.04Y = 60

or, Y = 1,500

Putting Y = 1,500 in equation (iii), we get

X = 4,200 - 1,500

X = 2,700

Therefore, 3% account had $2,700 balance

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2 years ago

In 10 minutes, the top 3 contestants of a hot dog eating contest consumed 136 hot dogs. The winner ate 9 more hot dogs than the

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Answer:

Step-by-step explanation:

Given that in 10 minutes, the top 3 contestants of a hot dog eating contest consumed 136 hot dogs. The winner ate 9 more hot dogs than the runner-up, and the runner-up ate 8 more hot dogs than the third-place contestant.

Let winner up ate x hot dogs

Then runner up ate 9 less than the winner i.e. $x-9$