let's recall that i⁴ = 1 so then 
Slope form y2-y1 / x2-x1 = m
20 - 9 = 11
12 - 4 = 9
The slope of the line is 11/9
Answer:
a. 85.5 sq ft
b. 3 bottles
Step-by-step explanation:
a. The cardboard is rectangular in shape. How much he needs to paint is the same as the cardboard that he needs to paint.
The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the cardboard having dimensions 14 1/4 feet by 6 feet is:
A = 14 1/4 * 6
A = 57 / 4 * 6 = 85.5 sq feet
He needs to paint 85.5 sq feet of the cardboard.
b. On bottle of paint covers 40 sq feet. The number of bottles he will need for his backdrop will be the area he needs to paint divided by the amount of paint that can cover 40 sq feet:
85.5 / 40 = 2.14
Since the number of bottles he will need is a whole number and its greater than 2, then it must be 3.
To paint the entire cardboard, he must have 3 bottles of paint.
Answer:
Height of the building that cast a shadow of 45 meters is 27 meters
Step-by-step explanation:
This is a direct variation and let height of the object represent H and shadow represent S
Hence H∝S
H = KS, where K=constant of proportionality
K = H/S
K = 6/10 = 0.6
Hence height of a building that cast a shadow of 45 meters
H = KS
H = 0.6 × 45 = 27 meters
