D) 30
A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around
360/12=30
Using the quotient, [f(-4)-f(1)]/(-4-1)=(4--1)/(-4-1)=5/-5=-1 is the average rate of change over [-4,1]
3:5...added = 8
3/8(40 = 120/8 = 15 inches
5/8(40) = 200/8 = 25 inches
shorter piece is 15 inches
Answer:
27.7m
Step-by-step explanation:
Step 1
We find the Circumference of the nylon thread.
The formula = 2πr
The diameter of the thread = 0.88m
Radius = Diameter/2
= 0.88m/2
= 0.44m
Circumference = 2 × π × 0.44m
= 2.7646015352m
Approximately = 2.765m
Step 2
We calculate the distance
Number of revolutions = 10
Therefore, the Distance or how far the metal weight can travel =
Circumference of the wheel × Number of revolutions
= 2.765m × 10
= 27.65m
Approximately to 1 decimal place = 27.7m
Answer:
13.0833 ft²
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 5 ft
Angle sustained by the sector (θ) = 360 – 300
= 60°
Pi (π) = 3.14
Area of sector (A) =?
The area of the sector can be obtained as follow:
A = θ/360 × πr²
A = 60/360 × 3.14 × 5²
A = 1/6 × 3.14 × 25
A = 1/6 × 78.5
A = 78.5/6
A = 13.0833 ft²
Thus, the area of the sector is 13.0833 ft²
