Two triangles are similar. the height of the smaller triangle is 6 inches and the corresponding height of the larger triangle is 15 inches. if the perimeter of the smaller triangle is 37.8 inches, what is the perimeter of the larger triangle?

Two triangles are similar. The perimeter of the larger triangle is 94.5 inches

SOLUTION:

Given, Two triangles are similar.  

The height of the smaller triangle is 6 inches and the corresponding height of the larger triangle is 15 inches.  

The perimeter of the smaller triangle is 37.8 inches,  

We have to find what is the perimeter of the larger triangle?

We know that, for similar triangles, ratio of heights = ratio of perimeters

Hence, the perimeter of the larger triangle is 94.5 inches

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

the answer is 31.27mph