4π radians
<h3>Further explanation</h3>
We provide an angle of 720° that will be instantly converted to radians.
Recognize these:
From the conversion previous we can produce the formula as follows:
We can state the following:
- Degrees to radians, multiply by
![\frac{\pi }{180^0}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B180%5E0%7D)
- Radians to degrees, multiply by
![\frac{180^0}{\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B180%5E0%7D%7B%5Cpi%20%7D)
Given α = 720°. Let us convert this degree to radians.
![\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Calpha%20%3D%20720%5E0%20%5Ctimes%20%5Cfrac%7B%5Cpi%20%7D%7B180%5E0%7D%20%5C%20%7D)
720° and 180° crossed out. They can be divided by 180°.
![\boxed{ \ \alpha = 4 \times \pi \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%20%5C%20%5Calpha%20%3D%204%20%5Ctimes%20%5Cpi%20%5C%20%7D)
Hence, ![\boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%20720%5E0%20%3D%204%20%5Cpi%20%5C%20radians%20%5C%20%7D%7D)
- - - - - - -
<u>Another example:</u>
Convert
to degrees.
![\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5C%20radians%20%5Crightarrow%20%5Calpha%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%20%5Cfrac%7B180%5E0%7D%7B%5Cpi%20%7D)
180° and 3 crossed out. Likewise with π.
Thus, ![\boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%20%5C%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5C%20radians%20%3D%20240%5E0%20%5C%20%7D%7D)
<h3>
Learn more </h3>
- A triangle is rotated 90° about the origin brainly.com/question/2992432
- The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053
- What is 270° converted to radians? brainly.com/question/3161884
Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula
The values of a and b are 1/4 and 1/5 respectively
<h3>How to determine the true statement?</h3>
The function is given as:
16x^2 - 25y^2 = 1
The above function is a horizontal hyperbola.
A horizontal hyperbola that passes through the origin is represented as:
![\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7Ba%5E2%7D%20-%20%5Cfrac%7By%5E2%7D%7Bb%5E2%7D%20%3D%201)
Rewrite 16x^2 - 25y^2 = 1 as
![\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B1%2F16%7D%20-%20%5Cfrac%7By%5E2%7D%7B1%2F25%7D%20%3D%201)
By comparison, we have:
![a^2 = \frac{1}{16}](https://tex.z-dn.net/?f=a%5E2%20%3D%20%5Cfrac%7B1%7D%7B16%7D)
![b^2 = \frac{1}{25}](https://tex.z-dn.net/?f=b%5E2%20%3D%20%5Cfrac%7B1%7D%7B25%7D)
Solve for a and b
![a = \frac{1}{4}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
![b = \frac{1}{5}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B5%7D)
Hence, the values of a and b are 1/4 and 1/5 respectively
Read more about hyperbola at:
brainly.com/question/27799190
#SPJ1
Answer:
Hey there! The answer to your question is 30%
Step-by-step explanation:
Work:
50%+20%=70
Than you do 100-70 and the answer would be 30%
so picking a purple marble Is likely to occur.
= 30%
Hope that helps!
By: xBrainly
Answer:
x = 3
Step-by-step explanation:
Here, we want to find the value of x
By mathematical convention;
NM = NL + LM
Now, substitute individual values
3x + 13 = (6x-5) + (2x + 3)
3x + 13 = 6x-5 + 2x + 3
3x + 13 = 8x -2
Collect like terms
8x -3x = 13 + 2
5x = 15
x = 15/5
x = 3
Answer:
$2009
Step-by-step explanation:
125+345+21=491
2500-491=2009