Answer:
Volume of a cylinder = πr²h
Given
V=81π
r=3
find h
Making h the subject
h= V/πr² = 81π/π(3)²
h= 81/9
h= 9cm
Answer x=63
Step-by-step explanation:
Answer:
= 4 1/6 ---------------> final answer
Step-by-step explanation:
1 2/3 cup of sugar
That is : 5/3 cups of sugar for 1 cookie recipe
So for 1 recipe ------------- 5/3 cups of sugar
hence for 2 1/2 recipe ---------------> (5/3) * (5/2)
= 25/6
= 4 1/6 ---------------> final answer
Answer:
15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
5a - 10b = 45
<em>b</em> = 3
<u>Step 2: Solve for </u><em><u>a</u></em>
- Substitute in <em>b</em> [Equation]: 5a - 10(3) = 45
- Multiply: 5a - 30 = 45
- [Addition Property of Equality] Add 30 on both sides: 5a = 75
- [Division Property of Equality] Divide 5 on both sides: a = 15
4th quadrant is positive x (cos) and negative y (sin)
Use the Pythagorean Theorem to calculate the value of y (sin).
x² + y² = c²
5² + y² = 13²
25 + y² = 169
y² = 144
y = 12
Since the y-value is negative in the 4th quadrant, then y = -12
