A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, th
2 answers:
Answer:
The volume of the box is 33.796 cubic inches
Step-by-step explanation:
Given
See attachment for the base of the prism
Required
The volume of the box
From the attachment, we have:
-- side length of the octagon
The area is then calculated as:
So, we have:
Evaluate the square root
The volume is then calculated as:
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solve for "a", to see what Africa's population will then be
Answer:
17. See below
18. 750
Step-by-step explanation:
17. Since the lollipops are being sold at the same price, 50 cents, for each one sold, they make a constant amount of money. For each increase in lollipops sold, there is a constant increase in money made, and thus the situation is a linear function.
18. To solve this equation, let's say y is the money made at the convention in dollars and x is the number of lollipops sold. If the principal gave them 125 dollars before they sold any lollipops (0 lollipops sold), then 125 is the y-intercept of the function, and in the equation y=mx+b, b=125. If each lollipop costs 50 cents (half of a dollar), then for each lollipop, x, sold, .5 dollars are made and are added to the profit, y. Thus, .5 dollars is the slope. The equation then becomes:
Now, if they need 500 dollars, y is thus equal to 500 dollars. Solving the equation:
Thus, 750 lollipops must be sold.