Answer:
Step-by-step explanation:
Given that a certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office.
The company can assign I employee to any one of 2 office i.e. in 2 ways
Similarly can assign II employee also in 2 ways and III in two ways.
Total no of ways = 2x2x2 = 8
There are 8 ways the company can assign 3 employees to 2 different offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office
Answer: Letter Choice, (B) ====> 4,256 pi cm^2
Step-by-step explanation:
<u>Formula: Surface Area of Cylinder = (2pi ) (r^2 ) + 2pi (r) (h)</u>
<u>Showing Work:</u>
<u>Radius of the Base ===> 28cm</u>
<u>Height =====> 48cm </u>
(2pi ) (r^2) + 2pi (28)(48)
2 (pi) (r^2) + (circumference) (height)
2( pi) (r^2 + 2)( pi)(r)(h)
2 pi * (2) (r^2 + (2)(r)(h)
2pi * (r^2 + rh)
2(r)(pi)(r + h)
2( 28)(pi)(28 + 48)
56(pi)(76)
4256(pi)^2
<u>Therefore, Your Answer ======> Letter Choice; (B) ======> 4,256pi cm^2</u>
Hope that helps!!!!! : )
Answer:
111 pieces of soda
Step-by-step explanation:
step 1
Find the area of the rectangular backyard
The area of the rectangular backyard is equal to

where


substitute


step 2
Find the area of one piece of sod
The area of the rectangular piece of sod is

where


substitute

step 3
Find the pieces of sod needed
To find out how many whole pieces of sod will Jim need to buy to cover his backyard, divide the area of the backyard by the area of one piece of soda
so

Round up
111 pieces of soda
To get the reference angle, convert the angle measurement to degrees first since it is in radians.
The conversion factor is pi = 180°
So,

Since 315° is located in quadrant IV, to get the reference angle, subtract 315° from 360°. Hence, the reference angle is 45°.
Based on the basics of trigonometric functions, Tan (45) = 1.
Its call exponential because of how it looks when you graph it