Answer:
w + d = 797
w = d - 53
Because they are equal, we can take whatever is on one side of the = and replace it for what's on the other side.
d - 53 + d = 797
2d = 850
d = 425
Step-by-step explanation:
A.
h = 14 ft · sin 30° = 14 ft · 0.5 = 7 ft.
b.
From the bottom of the height to the bottom of the slide:
y² = 14² - 7² = 196 - 49 = 147
y = √147 = 12.12 ft
15 ft - 12.12 ft = 2.88 ft ( from the bottom of the stairs to the bottom of the height )
tan x = 7 / 2.88 = 2.43
∠x = tan^(-1) 2.43
∠x = 67.63° ≈ 68°.
Answer:
60 ft²
Step-by-step explanation:
You can divide the figure into 2 parts.
First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²
Then, solve for the triangle:
Height = 10ft - 5ft = 5ft
Base = 12ft - 4ft = 8ft
Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²
Just add them together: 20ft² + 40ft² = 60ft²
:)
Answer:
y = 0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
8y + 11 = 6y + 11
<u>Step 2: Solve for </u><em><u>y</u></em>
- Subtract 6y on both sides: 2y + 11 = 11
- Subtract 11 on both sides: 2y = 0
- Divide 2 on both sides: y = 0
