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DAnswer:
Step-by-step explanation:
Answer:
The slope is 5/8.
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs:
m = 8 - 3 / 13 - 7
m = 5/8
Answer:
X equals 45
Step-by-step explanation:
The angle all together is 180 degrees so if you do 180 minus 45 you get 135. Now since x is being multiplied by 3 you divide 135 by 3. This is 45. So x is equal to 35. hopefully that made sense. :)
The volume of a rectangular box is equal to the area of its base times the vertical height. Thus,
V = Ah = 80
Since the base is a square with side x, then the area is equal to x². Hence, we can express h in terms of x.
80 = x²h
h = 80/x²
Now, each lateral side of the rectangular box is in the shape of a rectangle with a length of h and a width of w. Hence, the equation for the total cost would be:
Total Cost = Cost per area of lower base + Cost per area of upper base + 4(Cost per area of lateral side)
Total Cost = 0.45x² + 0.28x² + 4(0.10h*x)
Total Cost = 0.73x² + 0.4hx
Since h = 80/x²,
Total Cost = 0.73x² + 0.4(80/x²)(x)
Total Cost ($) = 0.73x² +32/x