Answer:
I think 15.
Step-by-step explanation:
20 ÷ 5=4 and 5 × 3=15.
Answer:
![\displaystyle x \approx 38.2 ^{\circ}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%5Capprox%2038.2%20%5E%7B%5Ccirc%7D)
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
- Subtract Property of Equality
<u>Pre-Calculus</u>
Law of Sines: ![\displaystyle \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bsin%28A%29%7D%7Ba%7D%20%3D%5Cfrac%7Bsin%28B%29%7D%7Bb%7D%20%3D%5Cfrac%7Bsin%28C%29%7D%7Bc%7D)
- A, B, C are angle measures
- a, b, c are leg lengths
Step-by-step explanation:
<u>Step 1: Identify</u>
A = 27°, a = 11
B = x°, b = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [LOS]:
![\displaystyle \frac{sin(27^{\circ})}{11} =\frac{sin(x^{\circ})}{15}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bsin%2827%5E%7B%5Ccirc%7D%29%7D%7B11%7D%20%3D%5Cfrac%7Bsin%28x%5E%7B%5Ccirc%7D%29%7D%7B15%7D)
- Cross-multiply:
![\displaystyle 11sin(x^{\circ}) = 15sin(27^{\circ})](https://tex.z-dn.net/?f=%5Cdisplaystyle%2011sin%28x%5E%7B%5Ccirc%7D%29%20%3D%2015sin%2827%5E%7B%5Ccirc%7D%29)
- Isolate <em>x</em> term:
![\displaystyle sin(x^{\circ}) = \frac{15sin(27^{\circ})}{11}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20sin%28x%5E%7B%5Ccirc%7D%29%20%3D%20%5Cfrac%7B15sin%2827%5E%7B%5Ccirc%7D%29%7D%7B11%7D)
- Isolate <em>x</em>:
![\displaystyle x = sin^{-1}(\frac{15sin(27)}{11})](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%20sin%5E%7B-1%7D%28%5Cfrac%7B15sin%2827%29%7D%7B11%7D%29)
- Evaluate:
![\displaystyle x = 38.2488 ^{\circ}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%2038.2488%20%5E%7B%5Ccirc%7D)
- Round:
![\displaystyle x \approx 38.2 ^{\circ}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%5Capprox%2038.2%20%5E%7B%5Ccirc%7D)
Sure, but with what question
Answer:
n = 1
n = - 1
n = - 1/5
n = - 25
Step-by-step explanation:
We are to obtain the value if n in the given equations :
1.)
n - 13 = - 12
To find, n ;
Add 13 to both sides
n - 13 + 13 = - 12 + 13
n = 1
2.)
n/5 = - 1/5
Multiply both sides by 5
n/5 * 5 = - 1/5 * 5
n = - 1
3.)
-5n = 1
Divide both sides by - 5
-5n/-5 = 1/-5
n = - 1/5
4.)
n + 15 = - 10
Subtract 15 from both sides :
n + 15 - 15 = - 10 - 15
n = - 25