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Softa [21]
2 years ago
5

The volume of a sphere is 5,572.45 ft To the nearest foot what is the radius of the​ sphere? Use 3.14 for .

Mathematics
1 answer:
Ronch [10]2 years ago
6 0

Answer: 11\ ft

Step-by-step explanation:

Given

The volume of a sphere is 5572.45\ ft^3

The volume of sphere with radius r is given by

\Rightarrow \dfrac{4\pi r^3}{3}

Insert the values

\Rightarrow V=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow 5572.45=\dfrac{4\pi }{3}\times r^3\\\\\Rightarrow r^3=\dfrac{5572.45\times 3}{4\pi }\\\\\Rightarrow r^3=1330.992\\\\\Rightarrow r=10.97\approx 11\ ft

Therefore, the radius is 11\ ft

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The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. find the measure o
saul85 [17]
 2 angle A and B are Complementary means that the sum of their measures is 90°. 

 2 angle A and B are Supplementary means that the sum of their measures is 180°. 


Thus, if the measure of angle A is x:

the measure of the supplement is 180°-x
the measure of the complement is 90°-x


"The measure of a supplement of an angle is 40 more than two times the measure of the complement of the angle. "

let the measure of the angle be x, then we have:

180°-x=40°+2(90°-x)

180°-x=40°+180°-2x

2x-x=40°

x=40°


Answer: 40°
6 0
3 years ago
I am confused on how to do this? please help!
IceJOKER [234]
You would take random numbers preferable smaller ones such as -1,0,1,2
You would put those in the place of x
Then you would square the value of x. After that you subtract 4. Whatever you come out with is your y value. Then you put the x value on the x axis and from that point count up or down to the number you need on the y axis. Together that would be your point
6 0
2 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
son4ous [18]

one angle is 3x-3

another angle is 6(x-10)

Both angles are vertically opposite angles

Vertically opposite angles are always equal

So we equation both the angles and solve for x

3x - 3= 6(x-10)

3x - 3 = 6x - 60

Subtract 6x from both sides

-3x - 3 = -60

Add 3 on both sides

-3x = -57

Divide by 3

x = 19

The value of x= 19


3 0
3 years ago
Factor the expression. 3p + 21
bagirrra123 [75]
I believe that the answer is p+7
7 0
2 years ago
6) Find b(10) in the sequence given by b(n) = -5 + 9(n-1).<br> b(10) =?
Sergeeva-Olga [200]

Answer:

76

Step-by-step explanation:

1. Replace n with 10. The equation will look like:

-5+9(10-1)

2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:

-5+9(9)

3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:

-5+81

4. Now we move on to addition and subtraction; add the two numbers!

-5+81=76

There's your answer!! Hope this helped :)

6 0
3 years ago
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