A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle. Show your reasoning

Using the formula

A=hbb/2

Solving forhb

hb=2 A/b=2·5/3≈3.33333

The height of the triangle with base 3 2/5 inches and area of 5 1/10 inches is 3 inches.

where

b = base

h = height

Therefore,

base = 3 2/5 = 17 / 5 inches

area = 5 1 / 10 = 51 / 10 inches

51 / 10 = 1 / 2 × 17 / 5 × h

51 / 10 = 17 / 10 h

cross multiply

510 = 170h

h = 510 / 170

h = 51 / 17

height = 3 inches

 learn more on triangles: link

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi