Use a geometric formula to solve the problem. a triangle has a height of 8 feet and an area of 48 square feet. find the base.

The formula for finding area of a triangle is:

The base is 8 feet. The area is 48 ft². Put that into the formula:

Remember that you have to multiply the base × height by , which is the same as dividing by 2. To find the height, you need to multiply the area by 2, instead of dividing.

That means the base × height is equal to 96. You already know the height. To find the base, divide the (base × height) by the height. The height is 8.

That means the base of the triangle is 12 ft

Base = 12

Height = 8

Put that into the formula:

✔

BASE = 12 ft

answer: i literally just answered this question but they want me to do it again

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.