35 points
the volume of a sphere is 288π ft3. what is the radius of the sphere? use the formula v = 4/3 πr3 to find your answer.
the radius of the sphere is feet.

Step-by-step explanation:

You're just plugging in and doing some algebra.

V = 4/3 πr^3  

First plug in what the volume is

288π = 4/3 πr^3

Now let's divide both sides by π just to get it out of the way

288 = 4/3 r^3

Now we can divide both sides by 4/3, which is the same as multiplying by 3/4

216 = r^3

Now just take the cube root, or the third root of both sides.  or another way is to bring both sides to the 1/3 power.

6 = r

And there's you're answer.  if there's a step you don't understand let me know.  

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.