Answer:
x = 6.3
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] SOHCAHTOA
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
We have a right triangle triangle. We can use trig to find the missing length.
<u>Step 2: Identify Variables</u>
<em>POV from the angle measure</em>
Angle = 64°
Opposite = 13
Adjacent = <em>x</em>
<em />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: tan64° = 13/x
- Multiply <em>x </em>on both sides: xtan64° = 13
- Isolate <em>x</em>: x = 13/tan64°
- Evaluate: x = 6.34052
If all were children, revenue would be 700*$7 = $4900. Revenue is actually $6400 -4900 = $1500 more than that. Each adult admission that replaces a child's admission adds $10 -7 = $3 to the revenue, so there must have been
$1500/$3 = 500 . . . . adult admissions
There were 200 children at the show.
There were 500 adults at ths show.
Answer:
1. 180
2. x = 31
Step-by-step explanation:
1. the sum of the interior angles of every triangle is always 180
2. using what we know from problem 1, we can create an equation:
x + 10 + 2x - 5 + 2x + 20 = 180
add like terms: 5x + 25 = 180
subtract 25 from both sides: 5x = 155
divide both sides by 5: x = 31
Answer:
The answer is E none of the above.
Step-by-step explanation:
Answer:
b, d, e, g are the points