Since you earn nine dollars per hour, nine is two more an a number x.
So, we have the equation 9=2+x.
Solving for x, we get that x is equal to 7. Therefore, you earned 7 dollars per hour last year.
Answer: ~54.54 units squared, or 25*pi - 24
Step-by-step explanation:
To find this, we need to find both the area of the triangle and circle, and then subtract the area of the triangle from the area of the circle.
Area of triangle: ![A = (bh)/2](https://tex.z-dn.net/?f=A%20%3D%20%28bh%29%2F2)
Area of circle: ![A = \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2)
To find the radius, we first need to find the hypotenuse of the triangle, which happens to be the diameter of the circle.
Pythagorean Theorem:
, where a and b are sides and c is the hypotenuse.
6^2 + 8^2 = c^2
36 + 64 = 100, c = 10
Knowing that the diameter is 10, we also know that the radius is 5.
Area of the circle with a radius of 5 is 25*pi, or 78.54~
Area of the triangle with side lengths of 6 and 8 is 24.
78.54 - 24 = 54.54 units squared.
As given,
Weekly rent of Mr. Thomson is = $104.92
Part A: What is Mr. Thompson's yearly rent (using 52 weeks)?
Rent for 1 week = 104.92
Rent for 52 weeks =
= $5455.84
Part B: What was the average grocery expense in this time period?
Mr. Thomson purchased groceries on 2/18 for $33.45 and on 3/5 for $28.56
Hence average grocery expense is = ![\frac{33.45+28.56}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B33.45%2B28.56%7D%7B2%7D)
= $31 per week or $62.01 per month
Part C: Mr. Thompson estimates his yearly expense for groceries to be:
The monthly expense for groceries is = $62.01
So yearly expense will be =
= $744.12
Answer:
D) 16 square units
Step-by-step explanation:
The base can be considered to be the line x=-3. The extent of the triangle along that line is from y=-4 to y=4, so is 8 units.
The "height" of the triangle can be considered to be the distance from the vertex at x=-7 to the line at x=-3, so is 4 units.
The area of the triangle is half the product of these measures:
A = (1/2)bh = (1/2)(8 units)(4 units) = 16 square units