Answer:
The number of radians in the central angle is 0.375
Step-by-step explanation:
* Lets study the radians rule of the circle
- If the measure of the central angle is Ф radians
- If the length of the arc subtended by Ф is L
∴ L = r Ф
* Lets look to the our problem
∵ The radius = 8 inches
∵ The measure of the central angle is Ф
∵ The length of the intercepted arc of Ф = 3 inches
* Use the rule L = r Ф ⇒ divide both sides by r
∴ Ф = L/r
∴ Ф = 3/8 = 0.375 radians
* The number of radians in the central angle is 0.375
Let's write down what we know:
a=50+b
b=30+c
After one hour:
(a+50)*2=-70+3*(c+50)
let's eliminate the brackets:
2a+100=-70+3c+150
2a+100=+3c+80
which is:
2a=-20+3c
substituting from a=50+b:
100+2b=-20+3c
substituting from b=30+c
100+2(30+c)=-20+3c
100+60+2c=-20+3c
160+20=3c-2c
180=c.
So we know that c is equal to 40, then b will be b=30+c
b=30+180=210.
So B had 210 miles initially.
Answer:
6 loads
Step-by-step explanation:
First, you gotta find how many pounds are in 2 1/4 tons. 1 ton is 2000 pounds. 2 tons would be 4000 pounds. 1/4 of a tom would be 2000 divided by 4 which is 500 pounds. 4000 pounds + 500 pounds = 4500 pounds. They put 750 pounds into the truck one at a time. To figure out how many loads of 750 pounds they can put into the truck without exceeding the limit you have to divide. 4500 divided by 750 is 6. They can put 6 loads without exceeding the limit.
Write and solve an equation of ratios:
12 x
----- = -----------
17 $289
Cross multiplying results in 17x = 3460, or x = $3460/17 = $204.
Jenny would make $204 for 12 hours of work.