All categories

3 years ago

Find an angle between 0 and 2pi that is coterminal with the following angle. 32pi/9

1 answer:

5 0

To do these you will be adding or subtracting 2pi (or integer multiples of .

Since the given angles are in fraction form, it will help to have 2pi in fraction form, 2pi=10/5=6pi/3=4pi/2=18pi/9 NOTE: this>(/) stands for over like 1 over 2 EX. 1/2

too, so the addition/subtraction is easier.

Hint: When deciding if you have a number between 0 and 2pi, compare it to the fraction version of 2pi that you've been adding/subtracting.

For 17pi/5...
First we can see that 17pi/5 is more than 10pi/5 (aka 2pi). So we need to start subtracting: 17pi/5 - 10pi/5 = 7pi/5

Now we have a number between 0 and 10pi/5. So 7pi/5 is the co-terminal angle between 0 and 2pi.

I'll leave the others for you to do. Just remember that you might have to add or subtract multiple times before you get a number between 0 and 2pi.
P.S don't add or subtract at all if the number starts out between 0 and 2pi.

You might be interested in

Evaluate the expression for a = 14, b = 29, c = 1, d = 1: a + b - C-d

grandymaker [24]

Answer:

Solution,

a=14

b=29

c=1

D=1

Now,

 $a + b - c - d \\ = 14 + 29 - 1 - 1 \\ = 43 - 1 - 1 \\ =42 - 1 \\ = 41$ 

hope this helps...

Good luck on your assignment...

7 0

3 years ago

Read 2 more answers

An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.

andrezito [222]

Answer:

The distance between the two airplanes (to the nearest mile) is 1058 miles.

Step-by-step explanation:

An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.

Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.

The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.

In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.

Using law of cosines:-

AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).

AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).

AB² = 640000 + 1440000 - 2 * 960000 * 1/2

AB² = 2080000 - 960000

AB² = 1120000

AB = √(1120000) = 1058.300524

Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.

3 0

3 years ago

Read 2 more answers

How much would $200 invested at 7% interest compounded annually be worth after 5 years? Round your answer to the nearest cent. D

viktelen [127]

The future worth (F) of the investment at present (P) with a compound interest i after n years is calculated through the equation,
F = P x (1 + i)^n
Substituting the known values,
F = ($200) x (1 + 0.07)^5 = $280.51
Thus, the future worth of the investment is approximately $280.51.

6 0

3 years ago

Read 2 more answers

Whats the 90'/, angle

yaroslaw [1]

Answer:

An angle shaped as a long L is a right angle...

Step-by-step explanation:

7 0

3 years ago

What is 6 1/4 - 3 1/3

Anettt [7]

Hey There!

Remember, first find the gcf of 4,3 in this problem it is 12.

Steps to solve

1.6 $\frac{1}{4}$ - 3 $\frac{1}{3}$

2.6 $\frac{1}{4}$ - 3 $\frac{1}{3}$ = 2 $\frac{11}{12}$

So, The answer is 2 $\frac{11}{12}$ 

Hope This Helps :)

6 0

3 years ago

Read 2 more answers