We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

$\frac{400x}{66} = \frac{400}{3600}$

Now cross multiply.

$\frac{66*400}{400x * 3600}$

x will be removed.

$\frac{26400}{1320000}$

Simplifying this fraction will get you $\frac{1}{50}$ , which in percentage form, will be 2 percent.

8 0

1 year ago

A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and s

mojhsa [17]

Answer:

about 16°

Step-by-step explanation:

Make sure your calculator is in degree mode.

Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:

$\tan( \alpha ) = \frac{34}{122}$

$\alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57$

3 0

2 years ago