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
-13x=78
-13x/-13=78/-13
Answers: X=-6
Answer:
12.5 hours
Step-by-step explanation:
The data which represents the battery life, in hours, experienced by six users is given below:
10 14 14 16 13 8
To determine the point estimate for the web browsing battery life of the iPad, we find the mean number of hours.
The point estimate for the web browsing battery life of the iPad is: 12.5 hours
Answer:
Ö + θ ( (k/m) + (g/l)) = 0
Step-by-step explanation:
Use the FBD attached:
Apply Newtons 2 nd Law in tangential direction:
Sum ( Ft ) = m*a
Sum of all tangential forces is:
m*g*sin(θ) + k*l*sin(θ)*cos(θ) = - m*l*Ö
Using small angle approximations:
sin (θ) = θ
cos (θ) = 1
Ö = angular acceleration.
m*g*θ + k*l*θ = -m*l*Ö
Ö + θ ( (k/m) + (g/l)) = 0
Square both sides
9(x + 2) = x + 4
Expand
9x + 18 = x + 4
Subtract x from both sides
9x + 18 - x = 4
Simplify 9x + 18 - x to 8x + 18
8x + 18 = 4
Subtract 18 from both sides
8x = 4 - 18
Simplify 4 - 18 to -14
8x = -14
Divide both sides by 8
x = -14/8
Simplify 14/8 to 7/4
<u>C. x = -7/4</u>
