The ratio of the lengths of the radil of two spheres is 5 : 8 what is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere

The ratio of the small sphere’s area to that of the big one is 25:64

Step-by-step explanation:

The area of a sphere can be calculated using the formula:

A = 4 π r^2

Now, since their radii are if the ratio 5:8, we can say that the radius of the small sphere is 5 while that of the big sphere is 8

For the small sphere, the value of the area will be 4 * π * 5^2 = 100 π unit

For the big sphere, the value of the area will be 4 * π * 8^2 = 256 π unit

The ratio of the smaller sphere to the larger sphere is;

100 π : 256 π

Divide through by 4

25: 64

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: no

step-by-step explanation:

you are only given the cost not the amount of pounds.