Tan(Ф) = 4/3
tan(Ф) = b/6Ф, then 4/3 =b/6
cross multiplication: 3b=24 and b= 24/3, b = 8 (answer D)
She would need 131 feet
(8x12)+(5x7)
The slope can be found by using the slope formula.
Slope = y2 - y1 / x2 - x1
First, we need two points on the line.
(-1, 0) and (0, 1)
x1 = -1 and y1 = 0
x2 = 0 and y2 = 1
Let's plug these values into our slope formula.
(1 - 0) / (0 - (-1)) = 1 / 1 = 1
The slope is 1
Answer:
11.33 in. to the nearest hundredth.
Step-by-step explanation:
The perimeter of the shaded area = length of the 2 straight lines + the length of the 2 arcs = 4 + length of the 2 arcs.
Calculate the length of the outer arc:
This equals (30 / 360) * perimeter of the largest circle
= 1/12 * 2 π * 8
= 4/3 π in.
The inner circle has a radius of 8 - 2 = 6 ins
so the length of the inner arc
= 1/12 * π * 2 * 6
= π in.
So the perimeter of the shaded region = 4 + 4/3 π + π
= 4 + 7π/3
= 11.33 in.