Answer:x=63.4° y= 8.16
Step-by-step explanation:
Area inside the semi-circle and outside the triangle is (91.125π - 120) in²
Solution:
Base of the triangle = 10 in
Height of the triangle = 24 in
Area of the triangle = 

Area of the triangle = 120 in²
Using Pythagoras theorem,




Taking square root on both sides, we get
Hypotenuse = 23 inch = diameter
Radius = 23 ÷ 2 = 11.5 in
Area of the semi-circle = 

Area of the semi-circle = 91.125π in²
Area of the shaded portion = (91.125π - 120) in²
Area inside the semi-circle and outside the triangle is (91.125π - 120) in².
Answer:
y = 2x -8
Step-by-step explanation:
The slope intercept form for a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x -8
To make 3 batches of trail mix you need 6 cups of cereal, 3/4 cup of raisins and 2 cups of almonds, while to make 4 batches you need 8 cups of cereal, 1 cup of raisins and 2 and 2/3 cups of almonds.
<h3><u>Fractions</u></h3>
Since one batch of trail mix uses 2 cups of cereal, 1/4 cup of raisins, and 2/3 cup of almonds, to determine how much of each ingredient you would need to make 3 or 4 batches of trail mix, the following calculation must be performed:
- 3 batches =
- 2 x 3 = 6
- 1/4 x 3 = 3/4
- 2/3 x 3 = 0.666 x 3 = 2
- 4 batches =
- 2 x 4 = 8
- 1/4 x 4 = 1
- 2/3 x 4 = 2 2/3
So to make 3 batches of trail mix you need 6 cups of cereal, 3/4 cup of raisins and 2 cups of almonds, while to make 4 batches you need 8 cups of cereal, 1 cup of raisins and 2 and 2/3 cups of almonds.
Learn more about fractions in brainly.com/question/1301963