Answer:

Step-by-step
explanation
explanation is attached to the picture
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Answer:
x = 15.7945
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] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = 33°
Opposite Leg = <em>x</em>
Hypotenuse = 29
<u>Step 2: Find Angle</u>
- Substitute in variables [sine]: sin33° = x/29
- [Multiplication Property of Equality] Multiply 29 on both sides: 29sin33° = x
- Rewrite: x = 29sin33°
- Evaluate: x = 15.7945
Answer:

Step-by-step explanation:
See attachment for complete question
Required
Determine measure of Arc length AC
The interpretation of this question is to find P
If AB is the diameter, then



<em>Hence, the measure is 139 degrees</em>
Answer: The distance between Fort Collins and Greeley is 35.84 km.
Step-by-step explanation:
Since we have given that
Distance travelled due south of Fort Collins = 18 km
Distance traveled due west of Greeley = 31 km
So, using the pythagorous theorem, we will find the distance between Fort Collins and Greeley.
So, it becomes,

So, the distance between Fort Collins and Greeley is 35.84 km.
The length is 9 feet.
The formula for Area is A= L*W*H.
You are given A=189, W= 7 feet and H= 3 feet. Solve formula for
L.
189= L*7* 3
189=21 L
Divide both sides by 21 to solve for L
189/21 = 21L/21
9=L