Answer:
19
Step-by-step explanation:
2d + 3
d = 8
2(8) + 3
multiply 2 and 8
16 + 3
add 16 and 3
= 19
Answer:
x = 4√5
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>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
- Evaluate exponents: 64 + 16 = x²
- Add: 80 = x²
- [Equality Property] Square root both sides: √80 = x
- Rewrite: x = √80
- Simplify: x = 4√5
Answer:
Step-by-step explanation:
6x+9=63
6x=63-9
6x=54
x=54/6
x=9
I encourage you to figure out the justification yourself.
Answer:
Volume of tennis ball = 11.49 inch³
Step-by-step explanation:
Given:
Radius of tennis ball = 1.4 inches
Value of π = 3.14
Find:
Volume of tennis ball
Computation:
Volume of sphere = [4/3][π][r]³
Volume of tennis ball = [4/3][π][Radius of tennis ball]³
Volume of tennis ball = [4/3][3.14][1.4]³
Volume of tennis ball = [1.333][3.14][1.4]³
Volume of tennis ball = [1.333][3.14][2.744]
Volume of tennis ball = [4.1856][2.744]
Volume of tennis ball = 11.4852
Volume of tennis ball = 11.49 inch³
Answer:
387, or you can do it another way in the problem if you like/.
Step-by-step explanation:
3x9=27
4x9=36
36+2=38
387
