Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
Answer:
area = 110.72 m²
Step-by-step explanation:
area of square = 8 x 9 = 72 m²
area of triangle = 1/2 x 3 x 9 = 13.6 m²
area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²
total area = 72 + 13.6 + 25.12 = 110.72 m²
Answer:
There is no chance of rolling an 8
I hope this helps you. Let me know if I did this correctly.
Answer:
2>x
Step-by-step explanation:
-6>10 - 8x.
Simplify it to get
-16>-8x
Simplify it again to get rid of the negatives. (Divide everything by -1)
16>8x
Simplify again
2>x
Answer:
- 20 -5k = 4
- the LCM of the denominators is 10
Step-by-step explanation:
I find it convenient to do the problem in the reverse order: find the LCM, then distribute. That way, I'm not distributing a fraction.
The LCM of 2 and 5 is their product: 2·5 = 10. Multiplying the equation by 10 gives ...
5(4 -k) = 4
Now, distributing, we get ...
20 -5k = 4
