The lengths of the sides of a triangle are in the extended ratio 7 : 8 : 9. the perimeter of the triangle is 72 cm. what are the lengths of the sides?

a=21, b=24, c=27

Step-by-step explanation:

a= side 1, b= side 2, c= side 3

a+b+c=72

a/b=7/8 and b/c=8/9 (proportion it)

then cross multiply to get 8a=7b and 9b=8c---> divide to get a=7/8b and c=9/8b

put that into the first equation--> 7/8b+8/8b+9/8b=72

add the fractions to get 24/8b=72 (24/8 equals 3) so 3b=72 (divide to get b=24)

then fill that in to the above equations (8a=7b, 9b=8c)

8a=7(24) and 9(24)=8c---> 8a=168 and 8c=216

divide all that and get a=21 and c=27

with all the measurements, you can check the proportion to make sure it works (7:8:9-->21:24:27)

if you multiple 7, 8, and 9 by 3 then you get the numbers found so it works

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

it alot will look like this 4.4