The simplest from of 3/12 is 1/4.
3/12 divide 3 by 3 and 12 by 3 an you get 1/4
Answer:
x = 2
Step-by-step explanation:
Remember:
![sin \theta = \frac{Opposite}{Hypotenuse}](https://tex.z-dn.net/?f=sin%20%5Ctheta%20%3D%20%5Cfrac%7BOpposite%7D%7BHypotenuse%7D)
In the triangle given, the opposite angle to 30 degrees is x and the hypotenuse is 4. Substituting these numbers into the formula gives:
![sin 30^\circ = \frac{x}{4}](https://tex.z-dn.net/?f=sin%2030%5E%5Ccirc%20%3D%20%5Cfrac%7Bx%7D%7B4%7D)
![x = 0.5 \times4](https://tex.z-dn.net/?f=x%20%3D%200.5%20%5Ctimes4)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Answer:
60 degrees
Step-by-step explanation:
Angles 1 and 2 are "corresponding angles" and as such are equal. Thus, the measure of angle 2 is 60 degrees.
Answer:
3072 cubic feet
Step-by-step explanation:
the trailer is a rectangular prism. so we use the equation
Volume = length × width × height
V = 8 × 8 × 48
V = 3072 ft^3
Answer:
![\huge\boxed{16}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B16%7D)
Step-by-step explanation:
The discriminant of
is equal
.
We have the equation:
![x^2+2x+5=0\to a=1,\ b=2,\ c=5](https://tex.z-dn.net/?f=x%5E2%2B2x%2B5%3D0%5Cto%20a%3D1%2C%5C%20b%3D2%2C%5C%20c%3D5)
Substitute:
![b^2-4ac=2^2-4(1)(5)=4-20=-16](https://tex.z-dn.net/?f=b%5E2-4ac%3D2%5E2-4%281%29%285%29%3D4-20%3D-16)