An
amusement park ride has a moving platform attached to four swinging arms. The
platform swings back and forth, higher and higher, until it goes over the top
and around in a circular motion. In the diagram below, AD and BC represent two of the swinging arms, and DC <span>is parallel to the ground
</span>(line l). Explain
why the moving platform AB <span>is always parallel to the ground.</span>
Answer:
40x-24
3b(6c-3a+c)
Step-by-step explanation:
For the first one use distributive property and multiply each term by 8.
For the second one find a common factor which is 3b and divide all terms by that number.
Answer:
c = 12.5
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: Identify</u>
Leg <em>a</em> = 7.5
Leg <em>b</em> = 10
Hypotenuse <em>c</em> = <em>c</em>
<em />
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 7.5² + 10² = c²
- Rewrite: c² = 7.5² + 10²
- Evaluate exponents: c² = 56.25 + 100
- Add: c² = 156.25
- [Equality Property] Square root both sides: c = 12.5
436.48(35.2)= 15,364.1 :)
