Answer: 3.66 cm
Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.
The area A of a rectangle is length multiply by width.
Where length L = 3.5 cm and
width W = 3 cm
Area A = 3.5 × 3 = 10.5 cm^2
The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.
But area A = 10.5. Substitute the values for the area of the cylinder
10.5 = πr^2
10.5 = 3.143 × r^2
Make r^2 the subject of formula
r^2 = 10.5/3.143
r = sqrt ( 3.34225 )
r = 1.828
Diameter = 2 × radius
Diameter = 2 × 1.829
Diameter = 3.656 cm
Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.
Answer:
ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Step-by-step explanation:
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope of a line is usually represented by the letter m. (x 1, y 1) represents the first point whereas (x 2, y 2) represents the second point.
Answer:
Elbert will Make $968 in 40 hours of work with the raise.
Step-by-step explanation:
Given:
Elbert makes $22 an hour.
He got 10% raise
Money raised on 10% = 
Now total money for per hour after raise = 
Now to find the total money earned after 40 hours with raise we need to multiply total money for per hour after raise with number of hours.
Total money earned = 
Hence, Elbert will Make $968 in 40 hours of work with the raise.
Answer:
XYZ is NOT a good buy.
Step-by-step explanation:
Calculate the market price of stock:
The Market price of the stock is $51. Therefore, buying the stock at $60 is overpriced and is NOT a good buy.
