Answer:
The area of the sector is ![20\pi\ units^2](https://tex.z-dn.net/?f=20%5Cpi%5C%20units%5E2)
Step-by-step explanation:
<u><em>The complete question is</em></u>
A circle with area 100π has a sector with a central angle of 2/5π radians.
What is the area of the sector?
we know that
The area of circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector with a central angle of 2/5π radians
![\frac{100\pi}{2\pi}=\frac{x}{(2\pi/5)}\\\\x=50(\frac{2\pi}{5})\\\\x=20\pi\ units^2](https://tex.z-dn.net/?f=%5Cfrac%7B100%5Cpi%7D%7B2%5Cpi%7D%3D%5Cfrac%7Bx%7D%7B%282%5Cpi%2F5%29%7D%5C%5C%5C%5Cx%3D50%28%5Cfrac%7B2%5Cpi%7D%7B5%7D%29%5C%5C%5C%5Cx%3D20%5Cpi%5C%20units%5E2)
First, simplify the equation given into slope intercept form.
slope intercept form is y = mx + b, where b is the y intercept and m is the slope.
3x - 2y - 5 = 0
I would move the 2y to the other side.
3x - 5 = 2y
Then, since y can't have a coefficient, divide everything by 2;
y = 3/2x - 5/2
So there's your slope intercept form.
Point slope form is:
![y - y_{1} = m( x} - x_{1} )](https://tex.z-dn.net/?f=%20y%20-%20%20y_%7B1%7D%20%3D%20m%28%20x%7D%20-%20%20x_%7B1%7D%20%29)
Where those with a subscript of 1 are part of the same point.
So you already known one point; -8, 8. I'll just do that as the pair with subscript 1. You know the slope as well from the slope intercept form; 3/2.
You can just plug those in.
y - 8 = 3/2 (x + 8)
Now to change this to general form.
First, distribute 3/2 to x and 8.
y - 8 = 3/2x + 12
-3/2x + y = 20
-3/2x + y - 20 = 0
Since there are no fractions, multiply everything by 2.
-3x + 2y - 40 = 0
Total number of Marbles is = 5 + 8 + 7 = 20
Total number of non-red marbles = 5 + 7 = 12.
P( Not yellow) 12/20 = 3/5.
<h3>The answer is 3/5.</h3>
Answer:
I need more information to calculate it for you
Answer:
46°
Step-by-step explanation:
Since the 3 sides are given we can use any of the 3 trig. ratios to solve.
Using the tangent ratio in the right triangle
tan ? =
=
, thus
? =
(
) ≈ 46° ( to the nearest degree )