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julia-pushkina [17]
3 years ago
9

Find the volume of a sphere with a surface area of 3600pi in squared.

Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

36000pi

Step-by-step explanation:

V = 4/3*pi*r^3  so we need to know r

we know surface area, which is 4pi*r^2=3600pi.  so we can solve for r

r=30

so v = 4/3*pi*30^3 = 36000pi

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An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.
Lina20 [59]

Answer:

x^3+x^2-2x\leq140

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth=  (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

2x*(x -1) * (x + 2) \leq 280\\\\

open the brackets

2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280

divide through by 2 we have

x^3+x^2-2x\leq140

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3 years ago
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If x° and 54° form a linear pair find x°​
elixir [45]

Answer:

x = 126°

Step-by-step explanation:

x + 54 = 180°

x + 54 - 54 = 180 - 54

x = 126°

6 0
2 years ago
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Kaylee invested $910 in an account paying an interest rate of 2.6% compounded
Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 2.6% into a decimal:

2.6% -> \frac{2.6}{100} -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=910(1+\frac{0.026}{4})^{4(10)}

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The account balance after 10 years will be $1,179

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Answer:

B.

Step-by-step explanation:

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Given P||Q and T is transversapf, which of the following justifies 3 and 6?
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What are the answer choices?

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