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Debora [2.8K]
3 years ago
9

Help geometry?????????????????????

Mathematics
1 answer:
klemol [59]3 years ago
6 0
The volume of a sphere is V =  4 *  \pi  * r^{2}
Substitute the volume in:
100 \pi = 4 \pi  r^{2} 

r^{2}
r = 5

Take the radius that we just calculated and use the volume formula as follows:
V =  \frac{4}{3}  \pi  r^{3}
V =  \frac{4}{3}  \pi * ( 5^{3} )
V =  \frac{4}{3}  \pi (125)
V =  \frac{500}{3}  \pi  = 166 \frac{2}{3}  \pi  ft^{3}
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7 0
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HELP ME WITH THIS PLEASE​
irakobra [83]

the answer would be B.

Step-by-step explanation:

because that's the right answer

6 0
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Philip shoots an arrow from the top of a hill into the ground. the flight of the arrow can be modeled with the quadratic functio
Sati [7]

Answer:

(a)Time taken to reach the ground, x=6 seconds

(b)Maximum height of the arrow during its flight =101.25 feet

Step-by-step explanation:

Given the quadratic function which models the flight of the arrow:

y=-5x^2+15x+90

Where:

  • y represents the vertical height of the arrow, in meters; and
  • x represents the time, in seconds.

(a)Positive Zero

-5x^2+15x+90=0\\-5(x^2-3x-18)=0\\-5(x^2-6x+3x-18)=0\\-5(x(x-6)+3(x-6))=0\\-5(x+3)(x-6)=0\\x+3=0\:or\:x-6=0\\x=-3,x=6

In 6 seconds, the arrow will hit the horizontal plane, i.e. the ground.

(b)

y=-5x^2+15x+90\\y-90=-5(x^2-3x)\\y-90-5(\frac{9}{4}) =-5(x^2-3x+(\frac{3}{2} )^2)\\y-101.25=-5(x-\frac{3}{2} )^2\\y=-5(x-\frac{3}{2} )^2+101.25

Comparing with the vertex form:

y=a(x-h)^2+k

Our vertex, (h,k)=(1.5, 101.25)

Maximum Value of y=101.25

The maximum value of y represents the maximum height of the arrow during its flight, which is 101.25 feet.

3 0
4 years ago
What is the definition of a math function?
daser333 [38]
A function is "a expression or equation involving one or more variables".

For example:

(x² + 7a) is a function.


hope this helps
3 0
3 years ago
Read 2 more answers
Write the standard equation of the circle with radius 5 and a center (2,-1)
solmaris [256]

Answer:

{(x - 2)}^{2}  +  {(y + 1)}^{2}  = 25

Step-by-step explanation:

In this case, h=2, k=-1, and r=5, so the equation is

{(x - 2)}^{2}  +  {(y + 1)}^{2}  = 25

7 0
2 years ago
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