Answer:
C. 8
Step-by-step explanation:
I almost thought this was going to be Pythagorean Theorem, but no.
Use Cosine Law:
cos θ = 
θ = cos−1(0.6)
θ = 53.130...
Now use the SOHCAHTOA ratio for sine (
) to find x now that you have one angle:
sin θ = 
x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)
x = 8
Answer:
Step-by-step explanation:
an employee is taxed 6.2 percent of their gross pay for Social Security, up to $127,200. After an employee has earned that much, Social Security payments are no longer deducted for the remainder of the year.
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first x and y-coordinates from the second x and y-coordinates. We'll use the points (0, 3) and (3, 2) for this case. Plug in the values into the formula to get this:
2 - 3 / 3 - 0
Subtract the values in order to get -1/3. There. The slope of the line is -1/3.
Answer:
840 cubes
Step-by-step explanation:
First we need to find the volume of each one:
Rectangular prism: Volume = 10.5 * 5 * 2 = 105 in3
Cube: Volume = 0.5 * 0.5 * 0.5 = 0.125 in3
Now, to find how many cubes can fit inside the prism, we just need to divide the volume of the prism by the volume of the cube:
Number of cubes = 105 / 0.125 = 840 cubes
Volume of this is 25920 inches cubed
