Answer:
A. ![\displaystyle \frac{1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B2%7D)
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
sin 30°
<u>Step 2: Solve</u>
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
Answer:
The solution to the given system of equations is (-2,
)
Therefore the values of x and y are x=-2 and ![y=\frac{5}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B3%7D)
Step-by-step explanation:
Given equations can be written as
![y=\frac{2}{3}x+3\hfill (1)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B3%5Chfill%20%281%29)
Solving equation(2) we get
x=-2
Substitute x=-2 in equation (1) we get
![y=\frac{2}{3}(-2)+3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%28-2%29%2B3)
![=-\frac{4}{3}+3](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B4%7D%7B3%7D%2B3)
![=\frac{-4+9}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-4%2B9%7D%7B3%7D)
![=\frac{5}{3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B3%7D)
Therefore the values of x and y are x=-2 and ![y=\frac{5}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5%7D%7B3%7D)
The solution to the given system of equations is (-2,
)
Answer:
78mm^2
Step-by-step explanation:
based on the information given, we can tell that the shape of the MP3 player is a rectangle. The formula for the surface area of a rectangle is SA=2WL+2LH+2HW
SA = Surface Area
W = Width
L = Length
H = Height
SA = 2(4)(7) + 2(7)(1) + 2(1)(4)
= 2(28) + 2(7) + 2(4)
= 56 + 14 + 8
= 78