The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is 
<h3>How to determine the equation</h3>
The equation is a secant function represented by
Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:
The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:
Simplify
Substitute values for A and B in
Rewrite as a function
Hence, the equation that represents the distance between the center of the circle and the light source is
Read more about trigonometry functions at:
brainly.com/question/1143565
The amount of metal he will need to cover the back of the shelves is 180 inches².
The figure above is like a composite figure. Therefore, lets find the area.
<h3>Area of the composite figure</h3>
The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.
Therefore, two rectangles can be drawn from it.
area of rectangle = lw
where
l = length
w = width
Therefore,
area of rectangle 1 = 9 × 8 = 72 inches²
area of rectangle 2 = 6 × 18 = 108 inches²
Total area = 108 + 72 = 180 inches²
Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².
learn more on area here: brainly.com/question/25849553
Answer:
After 1 year, both the tress will be of the same height.
Step-by-step explanation:
Let us assume in x years, both trees have same height.
Type A is 7 feet tall and grows at a rate of 8 inches per year.
⇒The growth of tree A in x years = x times ( Height growth each year)
= 8 (x) = 8 x
⇒Actual height of tree A in x years = Initial Height + Growth in x years
= 7 + 8 x
or, the height of tree A after x years = 7 + 8x
Type B is 9 feet tall and grows at a rate of 6 inches per year.
⇒The growth of tree B in x years = x times ( Height growth each year)
= 6 (x) = 6 x
⇒Actual height of tree B in x years = Initial Height + Growth in x years
= 9 + 6 x
or, the height of tree B after x years = 9 + 6x
According to the question:
After x years, Height of tree A =Height of tree B
⇒7 + 8x = 9 + 6x
or, 8x - 6x = 9 - 7
or, 2 x = 2
or, x = 2/2 = 1 ⇒ x = 1
Hence, after 1 year, both the tress will be of the same height.
Answer:
4620.
Step-by-step explanation:
The number of combinations of 3 men from 9
= 9!/(9-3)!3!
= 9*8*7/3*2*1
= 84 ways.
The number of combinations of 2 women from 11
= 11!/11-2)!2!
= 11*10/2*1
= 55 ways.
So the total number of ways of men and women in the committee
= 84*55
= 4620.
