All categories

2 years ago

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).

Mathematics

1 answer:

viva [34]2 years ago

3 0

9514 1404 393

Answer:

b. 6.28 units

Step-by-step explanation:

The travel through 360° takes you around the full circumference of the circle. That circumference is ...

C = 2πr

Since this is a unit circle, the radius is 1, so the circumference is ...

C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)

Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.

You might be interested in

What is the mean of the data without the outlier included?

AlladinOne [14]

I think the mean with outliers excluded are called trimmean.

6 0

3 years ago

Twenty-seven is smaller than five times a number increased by seven

JulsSmile [24]

Answer:

27 < 5*n +7

n<4

Step-by-step explanation:

Twenty-seven is smaller than five times a number increased by seven

Increase means add

27 < 5*n +7

Subtract 7 from each side

27-7 <5n+7-7

20 < 5n

Divide by 5

20/5 < 5n/5

4 <n

8 0

2 years ago

Whats the answer plz

elena-14-01-66 [18.8K]

Answer:

The correct answer should be A not 100% sure

4 0

2 years ago

Please help me out on this question

Mariulka [41]

At x=2, y=4

At x=4, y=16

So the total change in y from x=2 to x=4 is 16-4=12

And since average rate of change = total change in y divided by total change in x within the same period, therefore the answer is 12/2 = 6

Hope that helps. Let me know if you have any questions.

7 0

3 years ago

Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p

Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

$cost_1(x) = 0.5*x$

For the second option we have:

$cost_2(x) = 5000 + 0.1*x$

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

$cost_1(60000) = 0.5*60000 = 30000$

$cost_2(60000) = 5000 + 60000*0.1 = 11000$

The second option will cost her less than the first one.

7 0

3 years ago