Our x equals 0 so the answer is 0
Answer:
B. 31.4
Step-by-step explanation:
To find x, the hypotenuse, we need to use sin because we have been given the <u>opposite</u> (the side opposite the angle 35°) and we need to work out the <u>hypotenuse</u> (the longest or <em>slanted</em> side):
SOH, CAH, TOA
sin(θ) = opposite ÷ hypotenuse
Sub in the values (we don't know the hypotenuse so i've called it x):
sin(35) = 18 ÷ x (multiply both sides by x)
x × sin(35) = 18 (divide both sides by sin(35))
x = 18 ÷ sin(35) = 31.38204...
x ≈ 31.4
Hope this helps!
Answer:
Ron got 3 additional toppings
Step-by-step explanation:
Lets call the amount of toppings that Ron got t. With this, we can set up the following equation:
8.95+0.65t=10.90
Subtract 8.95 from both sides:
0.65t=1.95
Divide both sides by 0.65:
t=3
Hope this helps!
Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
