1. Know that: (1) in 28 miles, there are 147,840 ft because 28*5280, (2) radius is 7/6 because that is (2 1/3)/2, (3) C=2(pi)(7/6) or pi*7:3
2. To find revolutions per minute, you take 147,840 and divide it by the circumference to get revolutions per hour, which is about 20168.11439. Then, divide this by 60 to find revolutions per minute: 336.1352398 revolutions/min.
3. Then, to find the angular measure in radians you take the revolutions per minute and multiply it by 2pi.
Answer: 65 ≤ x ≤ 88
Step-by-step explanation:
Let x denotes the temperature of the town for a given month.
Given : Climate A town's high temperature for a given month is 88°F and the low temperature is 65°F.
i.e. 65°F ≤ temperature in a given month ≤ 88°F
Replace temperature in a given month by x.
Thus the compound inequality to represent the range of temperatures for the given month :-
i.e. 65 ≤ x ≤ 88
Answer:
The given proportion is
![\frac{14}{x}=\frac{56}{16}\\\\14 \times 16=56\times x\\\\x=\frac{14 \times 16}{56}\\\\x=\frac{16}{4}\\\\x=4](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7Bx%7D%3D%5Cfrac%7B56%7D%7B16%7D%5C%5C%5C%5C14%20%5Ctimes%2016%3D56%5Ctimes%20x%5C%5C%5C%5Cx%3D%5Cfrac%7B14%20%5Ctimes%2016%7D%7B56%7D%5C%5C%5C%5Cx%3D%5Cfrac%7B16%7D%7B4%7D%5C%5C%5C%5Cx%3D4)
Substitute , x=4 in the equation
![\frac{14}{4}=\frac{56}{16}\\\\56 \times 4=14 \times 16\\\\224=224](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B4%7D%3D%5Cfrac%7B56%7D%7B16%7D%5C%5C%5C%5C56%20%5Ctimes%204%3D14%20%5Ctimes%2016%5C%5C%5C%5C224%3D224)
Option D
Because if you substitute 4 into the equation for x and cross multiply, you get 224 = 224.
The answer is D. 71/4=11.75
4 goes into 71, 11 times and 3/4= 0.75. Hope that makes sense