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4 years ago

What is the radian measure for an angle that measures 720 degrees?

Mathematics

2 answers:

Scrat [10]4 years ago

6 0

Answer:

720 degrees = $\frac{\pi}{4}\ radians$ or 0.785 radians.

Step-by-step explanation:

Given:

The angle in degrees in given as 720°

We need to convert this to radians.

Now, we know that, the relation between degrees and radians is given as:

180 degree = π radians

Therefore, using unitary method, the value of 1 degree can be calculated.

∴ 1 degree = $\frac{\pi}{180}\ radians$

Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,

$720\ degrees=\frac{\pi}{180}\times 720\ radians\\\\ 720\ degrees =\frac{720\pi}{180}\\\\720\ degrees =\frac{\pi}{4}\ radians=0.785\ radians$

Hence, the measure of 720 degrees in radians is $\frac{\pi}{4}\ radians$ or 0.25π radians or 0.785 radians.

dedylja [7]4 years ago

4 0

Answer:

4pi

Step-by-step explanation:

on edg

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mote1985 [20]

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3 years ago

C. 62 D. 70 Please need the answer I will give you brainiest

Dahasolnce [82]

Answer:

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Step-by-step explanation:

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3 years ago

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A car travels 83 7/10 miles on 2 1/4 gallons of fuel which is the best estimate of miles the car travels on one gallon of fuel

jeka94

To solve this problem we can use proportion, but first its nice to transform our fraction into improper fraction, so
$83 \frac{7}{10}= \frac{837}{10}$
and
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x----------------------------- $1$
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4 years ago

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Mamont248 [21]

Answer: x < -4 and -4 > x

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3 years ago

The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms, C, in dollars, and the num

Margaret [11]

The equation represent a linear relation with the y-intercept

representing the amount of initial fee.

Correct response:

1. 28 volleyball uniforms

2. Price per uniform

3. Initial flat order fee

4. 10 fewer volleyball uniform

<h3>Methods used for finding the above values</h3>

The given equation that represents the relationship between the cost of school volleyball uniform is; C = 20·n + 35

Where;

C = The uniform costs

n = The number of volleyball uniform ordered

The maximum amount the school has to spend = $600

1. The number of uniforms the school can buy is given by setting C = 600 as follows;

C = 20·n + 35

Therefore;

600 = 20·n + 35

20·n = 600 - 35 = 565

$n = \dfrac{565}{20} = \mathbf{28.25}$

Rounding down to the nearest whole number, we have;

The number of uniforms the school can buy, n = 28 volleyball uniforms.

2. The number 20 represent the additional cost for each extra uniform, which is the unit cost therefore;

20 represents a $20 price per uniform.

3. The 35 in the equation represents an initial flat fee, such as an

ordering or initial fee, which is fixed.

Therefore;

The number 35 represent the fixed cost for producing the uniforms

4. The price per uniform of $30 changes the coefficient of n from 20 to 30 as follows;

C = 30·n + 35

The number of uniforms the school can by with $600 is therefore;

$n = \dfrac{600 - 35}{30} = \mathbf{18.8 \overline 3}$

Which gives;

The number of uniforms the school can purchase at $30 per uniform is n = 18 volleyball uniforms

The difference in the number of uniforms purchased = 28 - 18 = 10

Therefore;

The school can purchase 10 fewer uniforms at $30 per uniform

Learn more about linear equations here:

brainly.com/question/10452752

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2 years ago