201.6 ounces
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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
Answer:
Step-by-step explanation:
plug y into the first equation:
8x+5y=24
8x+5(-4x)=24
8x-20x=24
-12x=24
x=-24/12
x=-2
then plug x to the second equation
y=-4
y=-4(-2)
y=8
x=-2
y=8
F(-4x)=4x+4x
set up the composite function and simplify!
Answer:
<em>15c + 25s ≤ 1500</em>
Step-by-step explanation:
Let the number of stools be s
Let the number of chairs bought be c
If each tools cost $15, s stools will cost $15c
If a chairs cost $25, c chairs will cost $25s
Total costs = 15c + 25s
If the center cannot spend more than $1500, then the required equation will be 15c + 25s ≤ 1500
<em>The inequality sign will be less than and equal to since they cannot spend an amount greater than $1500.</em>
<em>Hence the correct equation is 15c + 25s ≤ 1500</em>
