A car travels from City A to City B at
1 answer:
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Area inside the semi-circle and outside the triangle is (91.125π - 120) in²
Solution:
Base of the triangle = 10 in
Height of the triangle = 24 in
Area of the triangle =
Area of the triangle = 120 in²
Using Pythagoras theorem,
Taking square root on both sides, we get
Hypotenuse = 23 inch = diameter
Radius = 23 ÷ 2 = 11.5 in
Area of the semi-circle =
Area of the semi-circle = 91.125π in²
Area of the shaded portion = (91.125π - 120) in²
Area inside the semi-circle and outside the triangle is (91.125π - 120) in².
Answer:
Part A)
Part B) see the explanation
Step-by-step explanation:
Part A) Write an inequality that will represent the amount of sales Ollie will need in order to cover his monthly expenses
Let
x ----> the amount of sales monthly
Remember that
we know that
The fixed amount of $2,700 plus the commission of 12% on all of his sales for the month must be greater than or equal to $5,400
so
The inequality that represent this problem is
Part B) Find the solution and describe what the graph would look like on a number line
we have
Solve for x
subtract 2,700 both sides
Divide by 0.12 both sides
The minimum amount of sales needed to cover his monthly expenses is $22,500
In a number line the solution is the shaded area at right of x=22,500 (closed circle)
see the attached figure to better understand the problem
