Speed = distance / time
speed = 135/3 = 45 miles per hr <==
Answer:
k = 5
Step-by-step explanation:
Since the quantities are in direct proportion then the equation relating them is
y = kx ← k is the constant of proportion
The y- axis is number of cups and x- axis is pounds of sugar
To find k use any of the 5 points highlighted on the graph
Using (8, 40 ), then
40 = 8k ( divide both sides by 8 )
5 = k
4.) The lateral area of a figure is the area of the figure with the exception of the bases.
Given a prism with right triangle bases, the lateral area of the prism is the sum of the areas of the rectangles making up the prism.
This is given by
Lateral area = (8.94)(41) + (4)(41) + (8)(41) = 366.54 + 164 + 328 = 858.54 ≈ 859 m^2
The surface area is the sum of the bases plus the lateral area. The area of a rectangle is given by half base times height.
Surface area = 1/2 x 8 x 4 + 1/2 x 8 x 4 + 859 = 16 + 16 + 859 = 891 m^2
5.) The surface area of a cylinder is given by pi r^2h where r is the radius = 12 inches and h is the height = 17 inches.
Surface area = π x (12)^2 x 17 = 2,448π = 7,690.62 in^2 ≈ 7,691 in^2
yes. because no matter the shape it will remain the same
