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
Answer:
d
Step-by-step explanation:
there is only 4 of her ponies that are over 96 centimeters but it is not 40 percent but 27 percent because she has 14 ponies not 10 ponies
Answer: show A had 8394 performances.
Show B had 6010 performances.
Step-by-step explanation:
Let x represent the number of performances of show A.
Let y represent the number of performances of show B.
As of a certain date, there had been a total of 14,404 performances of two shows on Broadway. This means that
x + y = 14404 - - - - - - - - - -1
There was 2384 more performances of Show A than Show B. It means that
x = y + 2384
Substituting x = y + 2384 into equation 1, it becomes
y + 2384 + y = 14404
2y = 14404 - 2384
2y = 12020
y = 12020/2
y = 6010
x = y + 2384 = 6010 + 2384
x = 8394
Answer:
Step-by-step explanation:
<u>Use triangle inequality theorem, which states</u>
<em>"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."</em>
<u>The sum of two sides compared to the remaining side:</u>
- 7 + 11 = 18 = 18 - not ok
- 7 + 18 = 25 > 11 - ok
- 11 + 18 = 29 > 7 - ok
The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.