Answer:
h = 2.86479 cm
General Formulas and Concepts:
<u>Symbols</u>
<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>
<u>Geometry</u>
Volume of a Cylinder Formula: V = πr²h
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em>V</em> = 81 cm³
<em>r</em> = 3 cm
<u>Step 2: Solve for </u><em><u>h</u></em>
- Substitute in variables [Volume of a Cylinder Formula]: 81 cm³ = (3.14)(3 cm)²h
- Evaluate exponents: 81 cm³ = (3.14)(9 cm²)h
- Multiply: 81 cm³ = (28.2743 cm²)h
- [Division Property of Equality] Divide 28.2743 cm² on both sides: 2.86479 cm = h
- Rewrite: h = 2.86479 cm
Answer:
AC = 10
Step-by-step explanation:
This is a right triangle
use the pythagorean theorem
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²
Take the square root of both sides
10 = c
AC = 10
The correct answer is 10 not 12
Answer:
So the value of sin20 = 0.342
Step-by-step explanation:
The value proportional or equivalent to sin20 can be gotten from calculator value directly or from a graph.
But right niw the most suitable answer is the value for the calculator because its difficulty and complications have been reduced
So the value of sin20 = 0.342
I believe the answer would be 54. I could of course be wrong so if I am, please correct me
You use substitution and trial and error to answer this, so for A, every time you see an X you'd replace it with 5, and every time you see a Y you'd replace it with -6. Luckily, the answer is a because after substitution, the sum is correct:
5 + (-6) = -1
(3 × 5) - (-6) = 21