Area of the quarter sector
Area of the entire circle = pi * r^2
Area of the quarter circle = pi r^2 / 4
r = 9
Area of the quarter circle = pi 9^2 / 4
Area of the quarter circle = pi 81/4 = 20.25 pi
Area of the triangle
Area pf the triangle = 1/2 b*h
b = h = r
r = 9
Area of the triangle = 1/2 9 * 9
Area of teh triangle = 1/2 81
Area of the triangle = 40.5
Area of the shaded area
The shaded area = Area of the 1/4 circle - area of the triangle
The shaded area = (20.24 pi - 40.5)ft^2
A <<<<<< Answer.
Hello! So the sweater was marked off by 20% and the sale price is $60. To find the original price of the sweater, we can write and solve a proportion. Set it up like this:
60/x = 80/100
This is because 60 is a part of the whole (the original price), and even though the price was marked down by 20%, you still pay 80% of that price. Let's cross multiply the values. 60 * 100 is 6,000. 80 * x is 80x. That makes 6,000 = 80x. Now, divide each side by 80 to isolate the x. 80x/80 cancels out. 6,000/80 is 75. Let's check this. 75 * 80% (0.8) is 60. There. x = 75. The regular price of the sweater is $75.
Answer:
Approximately 12 pieces of yarn can be cut from the 96 inches roll of yarn
Step-by-step explanation:
Total length of the yarn = 96 inches
Length of each piece = 8 1/4 inches
Now, solving the mixed fraction 
, we get
length of each piece = = 
inches
Now, the number of pieces = 
= 
⇒ number of pieces = 11.63
Hence approximately 12 pieces of yarn can be cut from the 96 inches roll of yarn.
Answer:
Step-by-step explanation:
Arc PN subtends a central angle of 50°, so angle 1 = 50°/2 = 25°
