All categories

3 years ago

Would I be right if I said 21pi/10 and -pi/10 are two angles coterminal with pi/10?

1 answer:

7 0

Two angles are coterminal if they differentiate in a factor of k*(2pi). This is a multiple of 360 degrees.

In this case 21 [pi /10] = [pi / 10] + 20 [pi/10] = [pi/10] + 2pi, then 21pi/10 is coterminal with pi/10.

In the case of -pi/10 you cannot get to pi/10 by adding a multiple of 2pi , then they are not coternminals.

Conclusion: you would not be right.

You might be interested in

Find the amount of tax and the tax rate. Round to two decimal places

Makovka662 [10]

Answer:

The tax amount is 15.17$

The tax rate is 12.4%.

Step-by-step explanation:

First we subtract the cost from the selling price.

137.17 - 122 = 15.17

We have found the tax amount, now for the tax rate.

If tax rate is x, then

122 * x = 137.17

Divide both sides by 122 to get

x = 137.17/122 = 1.124, or .124.

Then convert into percentage by moving the decimal to the right 2 times.

.124 = 12.4%

Hope this helps you

3 0

3 years ago

Read 2 more answers

What is the total cost to repay a credit card loan with a $13,000 balance, an APR of 17%, and monthly payments of $220?

iren2701 [21]

It will take you 130 months to pay off this credit card. You will pay $15,411.19 in interest over this period.

3 0

3 years ago

One machine makes 8 robots every 4 hours. How many robots will that machine make in 12 hours

Nikitich [7]

The machine will make 24 robots

4 0

3 years ago

Train a travel 175 miles in a four hours. for train b y=43.5x represents its rate of speed over the same 4 hours which train tra

stepan [7]

Answer:

Train A is faster by a factor of 1.01

Step-by-step explanation:

Given:

Train A:

Distance = 175 Miles

Time = 4 Hours

Train B:

y=43.5x

To Find:

which train travels at a faster rate in by what factor =?

Solution:

The speed of the train A = $\frac{Distance}{time}$

The speed of train A = $\frac{175}{4}$

The speed of train A = 43.75 miles per hour

Speed of the train B is the slope of the given line

The standard equation of the slope of the line is

y = mx+b

where m is the slope

and we are given with

y = 43.5x

So comparing with the standard equation

m = 43.5

Hence the speed of train B is 43.5 miles per hours

Train A travels faster

$Rate =\frac{\text{speed of train A}}{\text {Speed of train B}}$

$rate = \frac{43.75}{43.5}$

rate =1.01

7 0

3 years ago

If cos(θ)=2853 with θin Q IV, what is sin(θ)?

marysya [2.9K]

Answer: $\sin \theta=\frac{-45}{53}$

Step-by-step explanation:

Since we have given that

$\cos\theta=\frac{28}{53}$

And we know that θ is in the Fourth Quadrant.

So, Except cosθ and sec θ, all trigonometric ratios will be negative.

As we know the "Trigonometric Identity":

$\cos^2\theta+\sin^2\theta=1\\\\\sin \theta=\sqrt{1-\cos^2\theta}\\\\\sin \theta=\sqrt{1-(\frac{28}{53})^2}=\sqrt{\frac{53^2-28^2}{53^2}}\\\\\sin \theta=\sqrt{\frac{2025}{53^2}}\\\\\sin \theta=\frac{45}{53}$

It must be negative due to its presence in Fourth quadrant.

Hence, $\sin \theta=\frac{-45}{53}$

7 0

3 years ago