Find x. Round your answer to the nearest tenth of a degree
1 answer:
Answer:
![\displaystyle x \approx 53.1^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%5Capprox%2053.1%5E%5Ccirc)
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] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = <em>x</em>
Adjacent Leg = 15
Hypotenuse = 25
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:
![\displaystyle cosx^\circ = \frac{15}{25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cosx%5E%5Ccirc%20%3D%20%5Cfrac%7B15%7D%7B25%7D)
- Simplify:
![\displaystyle cosx^\circ = \frac{3}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cosx%5E%5Ccirc%20%3D%20%5Cfrac%7B3%7D%7B5%7D)
- Inverse Trig:
![\displaystyle x^\circ = cos^{-1}(\frac{3}{5})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E%5Ccirc%20%3D%20cos%5E%7B-1%7D%28%5Cfrac%7B3%7D%7B5%7D%29)
- Evaluate:
![\displaystyle x = 53.1301^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%2053.1301%5E%5Ccirc)
- Round:
![\displaystyle x \approx 53.1^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%5Capprox%2053.1%5E%5Ccirc)
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Step-by-step explanation:
First, we have to distribute.
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<span>C. Lara is incorrect, because more than one triangle can be drawn with the given information.</span>
Answer:
9y - 45
Step-by-step explanation:
9(−5+y)
=(9)(−5+y)
=(9)(−5)+(9)(y)
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Answer:
356.05 cm³
Step-by-step explanation:
We are looking for the volume. The formula is density = mass / volume.
If we plug in our numbers, our formula would be 2.76 = 982.7 / V.
Multiply both sides by V and your formula would be (V) 2.76 = 982.7.
Divide both sides by 2.76 and you would get V = 356.05.