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DaniilM [7]
2 years ago
7

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume o

f the pool? Use 3.14 for Pi.
cylinder. height 4 feet. radius 14 feet

a
351.68 cubic feet
b
703.36 cubic feet
c
2,461.76 cubic feet
d
615.44 cubic feet

Mathematics
1 answer:
Dimas [21]2 years ago
8 0
Formula:
V= pi×radius square × height

Remember pi is 3.14
Height= 4 feet
Radius 14 feet

Plug in the numbers into the formula

3.14 × 14^ 2 × 4 = 2461.76 cubic feet

ANSWER: C. 2461.76
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A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distan
Arte-miy333 [17]
The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions

let
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden

we know that
x>=110
2x+2y <=380---------------> x+y <= 190

Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190


Part B) <span>Graph the system to show all possible solutions

using a graph tool
see the attached figure
the solution is the triangle show in the figure

</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft

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3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
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Answer:

Step-by-step explanation:

Hello, please consider the following.

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So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

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Step 1 - for n = 1

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Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

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4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

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Answer:

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