Answer:h = y^2 / 27
Step-by-step explanation:
Volume of a cylinder = pi*(xx)^2*yy
= x^4*pi*yy
Volume of a cone = 1/3*pi*(9x^2)^2*h
= 27pi*x^4*h
x^4*pi*y^2 = 27pi*x^4*h
h = y^2 / 27
<span>(4h+6)(4h-7)
= 16h^2 + 24h - 28h - 42
= 16h^2 - 4h - 42
hope it helps</span>
Answer:
88°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Sum of Angles: 180(n - 2)°
Step-by-step explanation:
<u>Step 1: Identify</u>
We have a polygon, so n = 4.
- Substitute [SA]: 180(4 - 2)°
- (Parenthesis) Subtract: 180(2)°
- Multiply: 360°
This tells us the sum of all angles in the shape.
<u>Step 2: Solve for </u><em><u>x</u></em>
- Set up equation: 90° + 93° + 89° + x° = 360°
- Combine like terms: x° + 272° = 360°
- Isolate <em>x</em>: x = 88°
Refer to the diagram below for the sketch of the position of the mirror, Michelle, and the flagpole.
Using similar triangle concept, to find the height of the flagpole, we first need to find out the scale factor of the horizontal distance.
We write this as ratio
Mirror to Michelle : Mirror to Flagpole
12ft : 48ft
1 : 4
So the ratio of the height is
Michelle : Flagpole
1 : 4
5ft : 20ft
Answer: A
Theses are alternate angles so
2x-25=x+5
2x-x=25+5
X=30
Since it’s an isosceles triangle
X+5=9y+28
30+5=9y+28
35=9y+28
9y=35-28
9y=7
Y=7/9