Answer:
h = 14
Step-by-step explanation:
9=h-5
9 + 5 = h -5 +5
14 = h
Answer:
Area = 153.86
Step-by-step explanation:
Formula: A = 
diameter (d) = 14
radius = d / 2
radius is 14 / 2 = 7
A = 
The cube-shaped box has a volume of 216 cubic inches. The rectangular box has a volume of 160 cubic inches. Therefore, the answer is C) 56 cubic inches.
Answer:
1875 arrangements
Step-by-step explanation:
Break-Even is the point when costs are equal to profit.
The cost is 15,000
We need to cover this up with the profit we get from sales.
Each arrangement is 17 (cost) and is sold for 25, so the profit from each arrangement is:
25 - 17 = 8
So, with each arrangement sale, we make profit of $8. How many of these we need to sell in order to break even (in order to make 15,000)??
We simply divide this amount (15,000) by the profit we make from each arrangement ($8), so that would be:
Number of Arrangements Needed to Break-Even = 15,000/8 = 1875
After 1875 arrangements, the boutique breaks even.
Answer:
The polygons are similar.
Step-by-step explanation:
By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.
Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.
The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is
.
The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is
.
If these polygons are similar, these proportions must be equal.

Checking, we see that these proportions are equal, and therefore the polygons are similar.