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liberstina [14]
2 years ago
5

Find one positive and one negative coterminal angle to 2.7 Radians:

Mathematics
1 answer:
Pavlova-9 [17]2 years ago
4 0

the two coterminal angles to the given one are:

8.98 rad and -3.58 rad

<h3>How to find coterminal angles?</h3>

For a given angle A in radians, the family of coterminal angles is defined as:

B = A + n*(2*pi)

Where pi = 3.14 rad

Where n can be any integer number.

In this case, we have an angle of 2.7 radians, then the coterminal angles are:

B = 2.7 rad + n*(6.28 rad)

One positive is what we get if we select n = 1, then:

B = 2.7 rad + 1*(6.28 rad) = 8.98 rad.

And if we select n = -1, we get the negative coterminal angle:

B' = 2.7 rad - 1*(6.28 rad) = -3.58 rad

Then the two coterminal angles to the given one are:

8.98 rad and -3.58 rad

If you want to learn more about coterminal angles:

brainly.com/question/19891743

#SPJ1

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The line on the graph would be negative (downward) because of the negative and would be going down by a slope of -5.

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A laboratory technician needs to make a 63-liter batch of a 20% acid solution How can the laboratory technician combine a batch
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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

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Bella's Pizza Shop charges $4.50 for a small pizza, $7 for a medium pizza, and $9 for a large pizza. Toppings cost extra dependi
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