Answer:
8 out of 11
Step-by-step explanation:
<h3>Given</h3>
1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.
2) Regular pentagon PENTA with side lengths 9 m
<h3>Find</h3>
The area of each figure, rounded to the nearest integer
<h3>Solution</h3>
1) The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².
Answer: The boots were marked $86.
Step-by-step explanation: We know Mica's total was $100 for the bill. He got the only hat left marked $12, and a pair of boots. Before tax and after a 50% sale, her total is $100. Since she spent $12 for the hat, we know the rest of the money is going towards the boots. The boots will cost $86.
Hat($12) + Boots($86) = 100
2 * 2 * 2 * 2
4 * 2 * 2
8 * 2
16
