80 * 5/8 will give you how many are thoroughbreds.

80 * 5/8 = 50

Now subtract this from all of the horses.

80 - 50 = 30.

There are 30 quarter horses.

OR If 5/8 of the horses are thoroughbreds, then 3/8 are quarter horses.

80 * 3/8 = 30.

6 0

2 years ago

Read 2 more answers

Calculating cos-1 ( help is gladly appreciated :) )

Alekssandra [29.7K]

Answer:

$\frac{3\pi}{4}$

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by $\frac{180^\circ}{\pi}$ giving you:

$\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}$ .

We can do this since $\pi \text{ rad }=180^\circ$ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

$\cos^{-1}(x)$ is going to output an angle measurement in $[0,\pi]$ .

So we are looking to solve the following equation in that interval:

$\cos(x)=-\frac{\sqrt{2}}{2}$ .

This happens in the second quadrant on the given interval.

The solution to the equation is $\frac{3\pi}{4}$ .

So we are saying that $\cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2}$ implies $\cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4}$ since $\frac{3\pi}{4} \in [0,\pi]$ .

Answer is $\frac{3\pi}{4}$ .

4 0

2 years ago

What number is 120% of 12

Rasek [7]

120% of 12 is 14.4.I got this by doing this:

12/x=100/120
(12/x)*x=(100/120)*x - we multiply both sides of the equation by x
12=0.833333333333*x - we divide both sides of the equation by (0.833333333333) to get x
12/0.833333333333=x 
14.4=x 
x=14.4

5 0

2 years ago