Ask question

Ask question

All categories

3 years ago

12

How would you convert an angle in degrees to an angle in radians?

1 answer:

Scilla [17]3 years ago

6 0

For reference, one full circle is 360 degrees or 2pi radians.

If we were to convert 360 degrees to radians, we could set up the following equation:

360k = 2pi

where k is a constant. By solving for k, we can find what value we must multiply any angle in degrees by to get its radian counterpart.

Divide both sides by 360:

k = 2pi/360

Reduce:

k = pi/180

So to convert an angle from degrees to radians, multiply it by pi/180. For example, 120 degrees would be:

120 * pi/180 = 2pi/3 radians

You might be interested in

The perimeter of the flag is 2080 ft what is the flags width and length of the length is 420 ft greater than the width

hram777 [196]

Answer:

The length of the flag is 730 ft and the width is 310 ft

Step-by-step explanation:

<u><em>The correct question is</em></u>

The perimeter of the flag is 2080 ft what is the flags width and length <u>if</u> the length is 420 ft greater than the width

Let

L ----> the length of the flag

W ---> the width of the flag

we know that

The perimeter of the flag (rectangle) is equal to

$P=2(L+W)$

we have

$P=2,080\ ft$

so

$2,080=2(L+W)$

$1,040=L+W$ ----> equation A

$L=W+420$ ---> equation B

Solve the system by substitution

substitute equation B in equation A

$1,040=(W+420)+W$

solve for W

$1,040=2W+420$

$2W=1,040-420$

$2W=620$

$W=310\ ft$

<em>Find the value of L</em>

$L=W+420$ ----> $L=310+420=730\ ft$

therefore

The length of the flag is 730 ft and the width is 310 ft

5 0

3 years ago

Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)

konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

$m = \frac{y_2-y_1}{x_2-x_1}$

The slope of the line that passes through (−12, 15) and (4, −5) is

$m_{1} = \frac{ - 5 - 15}{4 - - 12}$

$m_{1} = \frac{ - 20}{16} = - \frac{5}{4}$

The slope of the line going through (−8, −9) and (16, 21) is

$m_{2} = \frac{21 - - 9}{16 - - 8}$

$m_{2} = \frac{21 + 9}{16 + 8}$

$m_{2} = \frac{30}{24} = \frac{5}{4}$

The product of the two slopes is

$m_{1} \times m_{2} = - \frac{4}{5} \times \frac{5}{4} = - 1$

Since

$m_{1} \times m_{2} = - 1$

the two lines are perpendicular.

4 0

3 years ago

Read 2 more answers

Mohammad would like to graph the line that represents the total number of baseball cards he will have collected, T, after m mont

yKpoI14uk [10]

The T-axis should go up to 60 and the m-axis should go up to 12.

3 0

3 years ago

Read 2 more answers

What’s the commutative property of addition ?

spin [16.1K]

Answer:

Its when you just swthc your thingy

Step-by-step explanation:

2+4=6

turns into

4+2=6

6 0

3 years ago

Read 2 more answers

/Which of the following is a solution of y - x < -3? A= (6,2) B= (2,6) C= (2,-1)

konstantin123 [22]

C is the solution to the problem

3 0

4 years ago