Answer:
<h2>a = 16</h2>
Step-by-step explanation:
Look at the picture.
The formula of an area of a trapezoid is:

- bases
- height
We have:

Substitute:

<em>divide both sides by 8</em>

- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

Next, plug either one of the points into the x and y coordinates to solve for b as such:

<u>Our final equation is
, or the third option.</u>
A. Judy made a mistake between Steps 1 and 2
To factor

, you have to factor it as

, not

, because that will leave an extra 6x because of 8x - 2x.
Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is

Where,
is the central angle in degrees.
Putting r=10 and
, we get



Therefore, the area of the sector is 12.5π sq. inches.
Answer:
about 101.28 ounces in total
Step-by-step explanation:
Hope this helps