Question

The formula for the area of a triangle is A=1/2bh

Solve the formula for h (Hint: isolate h.)

Answer 1

A triangle has a base of 7cm and an area of 28cm^2. What is its height?

Answer 2

You work for 4 hours on Saturday and 8 hours on Sunday. You also receive a $50 bonus. You earn $164. How much did you earn per hour?

Answer 3

To solve the formula for h, we need to isolate h on one side of the equation.

Given formula: A = 1/2bh

Step 1: Multiply both sides of the equation by 2 to eliminate the fraction.
2A = bh

Step 2: Divide both sides of the equation by b to isolate h.
(2A)/b = h

Therefore, the formula for h (height) in terms of the area A and base b of a triangle is h = (2A)/b.

Answer 4

To find the height of the triangle, we can use the formula we derived earlier:

h = (2A)/b

Given that the base (b) of the triangle is 7cm and the area (A) is 28cm^2, we can substitute these values into the formula:

h = (2(28cm^2))/(7cm)
h = (56cm^2)/(7cm)
h = 8cm

Therefore, the height of the triangle is 8cm.

Answer 5

To find out how much you earned per hour, we need to divide your total earnings by the total number of hours worked.

Let's calculate the total number of hours worked:
Total hours = hours worked on Saturday + hours worked on Sunday
Total hours = 4 hours + 8 hours
Total hours = 12 hours

Now, let's calculate your earnings per hour:
Earnings per hour = Total earnings / Total hours
Earnings per hour = $164 + $50 / 12 hours
Earnings per hour = $214 / 12 hours

Earnings per hour = $17.83 per hour

Therefore, you earned approximately $17.83 per hour.