Csc is the inverse of sin. This means the formula in regards to a triangle for csc is h/o, unlike o/h for sin. csc can also be knows as 1/sin.
Answer:
150.08 inches
Step-by-step explanation:
The question simply requires that we find the length of the arc that the dog walks.
Its leash rotates through 150° and the length of the leash (radius) is 60 inches.
The length of an arc is given as:
L = α/360 * 2πR
where α = angle of arc
R =radius
Therefore:
L = 150/360 * 2 * π * 60
L = 150.08 inches
The dog walks 150.08 inches
987,164.302
0: hundredths
1: hundreds
4: ones
3: tenths
6: tens
9: hundred thousand
It will take them 3 hours to meet
Step-by-step explanation:
The given is:
- Jack and Jill live 345 miles apart from one another
- They want to meet for lunch and agree to leave the same time, drive toward each other, and meet somewhere along the route
- Jack's average rates 60 mph
- Jill's average rate is 55 mph
We need to find how long it will take them to meet
Distance = Speed × Time
∵ They will drive toward each other at the same time and meet
each other somewhere
- That means they will drive for the same time
∵ Jack's average rates 60 mph for t hours
∴ Jack will drive a distance = 60 × t = 60 t miles
∵ Jill's average rate is 55 mph for t hours
∴ Jill will drive a distance = 55 × t = 55 t miles
∵ The distance between Jack and Jill is 345 miles apart
- Add their distance above and equate the sum by 345
∴ 60 t + 55 t = 345
∴ 115 t = 345
- Divide both sides by 115
∴ t = 3 hours
It will take them 3 hours to meet
Learn more:
You can learn more about the word problems in brainly.com/question/3950386
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