Answer:
Step-by-step explanation:
Every 3 weeks=21 days. this is because 21 is the lowest common factor of 7 and 3
Answer:
θ = 104°
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>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify and set up</em>
m∠A = 31°
m∠B = θ
m∠C = 45°
θ + 31° + 45° = 180°
<u>Step 2: Find θ</u>
- Add: θ + 76° = 180°
- [Subtraction Property of Equality] Subtract 76° on both sides: θ = 104°
Answer:
The kite is about 44.1 feet high.
Step-by-step explanation
Since you are trying to find the height, you would draw a triangle to diagram which sides you need to use. The 123 ft of string would be the hypotenuse of the triangle while the 21 degrees is the theta. You are trying to find the height and from the theta that would be the opposite side so you would use sine because you are using opposite and hypotenuse.
sin21=x/123
You have sin of 21 because that is the angle measure, then opposite over hypotenuse which is x/123.
You then multiply both sides by 123 to get the variable of x alone on one side.
123sin21=x
Then just plug this into your calculator and round to the nearest tenth and you get 44.1 feet.
Hope this helped explain how to do these problems, I had trouble doing them awhile back in Algebra 2 so hope this helped out a little.