Answer:
See Explanation
Step-by-step explanation:
8. (1)
Area of trapezoid = 1/2(sum of || sides) *perpendicular distance
36 =1/2(x+ y) * 6
36 = ((x + y)*3
36/3 = x + y
12 = x + y
x + y = 12.... (1)
8(2)
It is given that:
x = 2y....(2)
From equations (1) & (2)
2y + y = 12
3y = 12
y = 12/3
y = 4
From equation (2)
x = 2y = 2*4
x = 8
9.
Area of square = 1 square m
Side of square = 1 m
Area of circle = 1 square m
![\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54](https://tex.z-dn.net/?f=%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%3D%201%20%5C%5C%20%20%7Br%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%5Cpi%7D%20%20%5C%5C%20r%20%3D%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B%5Cpi%7D%20%7D%20%20%5C%5C%20c%20%3D%202%5Cpi%20%5C%3A%20r%20%5C%5C%20c%20%3D%202%5Cpi%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%7B%5Cpi%7D%20%7D%20%20%5C%5C%20c%20%3D%202%20%5Csqrt%7B%5Cpi%7D%20%20%5C%5C%20c%20%3D%202%20%5Csqrt%7B3.14%7D%20%20%5C%5C%20c%20%3D%202%20%5Ctimes%201.77200451%20%5C%5C%20c%20%3D%203.54400902%20%5C%5C%20c%20%3D%203.544%20%5C%5C%20difference%20%3D%203.544%20-%201%20%3D%202.544%20%20%5C%5Cdifference%20%5Capprox%20%5C%3A%202.54)
Yes they are correct.
At least I'm pretty sure they are:)
V = d/t = 8.8 miles/[80/60] hours = 6.6 miles/hour
t = d/v = d/6.6
Answer: d/6.6, where d is the number of miles to run.