Answer:

Step-by-step explanation:
Given
See attachment for desk
Required
The area
First, calculate the area of the semicircular cutout

Where

So:



Next, the area of the complete trapezium

Where



So:



The area of the desk is:



Answer:
84 feet to the nearest foot.
Step-by-step explanation:
We have a right angled triangle with adjacent side (A) = 100 and you want to find the height of the tower, the opposite side (O).
A = 100 , O = ? so we need the tangent , (from SOH-CAH-TOA).
tan 40 = O/ 100
O = 100 tan 40
= 83.9 feet.
Answer:
When x <= 8000
The cost remains constant at 0.35 when x increases from 0 to 8000
The slope of cost function over this part is 0
When 8000 < x <= 20000
The cost remains constant at 0.75 when x increases from 8000 to 20000
The slope of cost function over this part is 0
When 20000 < x <= 42000
The cost decreases when x increases from 20000 to 42000
The slope of cost function

m= -5 × 10^-6
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
Step-by-step explanation:
You need to know the following property

Exponent also means you're multiplying the same number for an 'n' number of times.
For example, 2^3 = 2 * 2 * 2
we multiply it by itself 3 times since 3 is the exponent.
x^y
x is the base, y is the exponent
we read it as x to the power of y
If the exponent is 2, we say it as x squared
If the exponent is 3, we say it as x cubed
Answer:
By definition, considering a unit circle (circle centered at origin and of radius 1) the length of an arc is equal to the measurement in radians (the SI unit for measuring angles) of the angle that it subtends (to be opposite to). The length of the arc is equal to the radius of the circle.