Answer:
m arc PR = 36°
Step-by-step explanation:
∠QTS = 1/2 * (arc QS + arc RP)
62° = 1/2 * (88° + RP)
RP = 124 - 88 = 36°
1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
Volume (cube) = side × side × side
Volume (v) =
![{a}^{3} = 8000 {ft}^{3} \\ \sqrt[3]{ {a}^{3} } = \sqrt[3]{8000 {ft}^{3} } \\ a = 20ft](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B3%7D%20%20%3D%208000%20%7Bft%7D%5E%7B3%7D%20%20%5C%5C%20%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20%20%3D%20%20%20%5Csqrt%5B3%5D%7B8000%20%7Bft%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20a%20%3D%2020ft)
And you can check because 20 × 20 × 20 = 8000, bc 20 × 20 = 400, and 400 × 20 = 8000
Answer:
Rotations of tire to travel 500 feet: 95.54
Step-by-step explanation:
Circumference = 20 x 3.14 = 62.8 in
500 feet = 500 x 12 inches = 6,000 in
Rotations = 6000 / 62.8 = 95.54 rotations of tire
