Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
Answer:
r = C / (2pie)
Step-by-step explanation:
C = 2pie x r
divide both sides by 2pie to isolate r
C / (2pie) = r
r = C / (2pie)
Answer:
A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.
Step-by-step explanation:
