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Alex_Xolod [135]
4 years ago
12

Find the volume of a sphere with a circumference of 48 pi ft. Write your answer in terms of pi .

Mathematics
1 answer:
meriva4 years ago
7 0

Answer:

18,432 pi cubic ft

Step-by-step explanation:

This problem can be solved using formula to find circumference and volume of sphere

for any sphere with radius r

circumference of sphere is 2* pi * r

volume of sphere is found by using formula 4/3*(pi*r^2)

Given circumference of sphere is 48 pi ft

therefore

2* pi * r = 48 pi ft

r = 48 pi ft/ 2* pi = 24 ft

substituting the value of r is formula of volume of sphere we have

volume of sphere is = 4/3*(pi*24^3) = 18,432 pi cubic ft

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The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Montano1993 [528]

Answer:

0.2 miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points (0,3), (5,4),(10,5)...

From these points we can find the slope of the line .

From point slope formula y-y_1=m(x-x_1)

And assigning (x,y) (0,3) and (x_1,y_1) (5,4)

m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2

This slope is also the speed of the bird which is 0.2\ miles\ per\ minute.

As by plugging the values of any coordinate point we can confirm this.

Lets put (10,5), y-axis is the distance so in 10 minutes the the distance covered by the bird must be equal to to y-axis value which is 5 miles.

y=0.2(x),y=0.2(10)=5\ miles

Now as in t=0 the bird has started from y-intercept value 3 so we can say that,the original distance of the bird from its nest is 3\ miles.

So the correct choices are:B and D

The birds speed is 0.2\ miles per minute and is 3\ miles away from its nest.

7 0
3 years ago
G(a) = 3a + 2<br> f(a)=2a-4<br> Find (g/f)(3)
Basile [38]

Answer:(gf)(3)=g(3)f(3) g(a)=3a+2 or g(3)=3(3)+2=9+2 =11 f(a)=2a−4 f(3)=2(3)−4=6−4=2 g(3)f(3)=112. Answer  

Step-by-step explanation:

7 0
2 years ago
Use decimals to give the ordered pair for point U. Remember to putyour odered pairs in parenthesis.
Gnoma [55]

Answer:

(0,2.5)

Step-by-step explanation:

3 0
3 years ago
For which product or quotient is this expression the simplest form? (image attached)! please help :((
mars1129 [50]

Answer:

D

Step-by-step explanation:

For simplify the work we can start to factorise all the possibles expressions:

2x + 8.

8 is multiple of 2, so it can became

2(x+4)

x^2 - 16 this is a difference of two squares, so it can be rewritten as:

(x+4)(x-4)

x^2 + 8x + 16

we have to find two numbers whose sum is 8 and whose product is 16

the two number are 4 and 4

it becames:

(x+4)(x+4)

x+ 4 can‘t be simplified

if we look at the expression, we can find that x-4 appears at the numerator so

x^2 - 16 must be at numerator

but the second factor (x+4) doesn’t appear, so has been simplified. This situation can be possible only in the D option

in fact

(x+4)(x-4)/2(x+4) * (x+4)/(x+4)(x+4)

it became

(x+4)(x-4)/2 * 1/(x+4)(x+4)

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3 years ago
Write an expression that is equal to 3 times 2 and 1 /4
koban [17]
3x2x(1/4)= ????? And then u find the answer
6 0
3 years ago
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