How to identify polar angles and reference angles to polar angles.

Mathematics

1 answer:

Serggg [28]2 years ago

8 0

Answer:

See below

Step-by-step explanation:

To convert from Cartesian coordinates $(x,y)$ to polar coordinates $(r,\theta)$ , use the following formulas:

$r=\sqrt{x^2+y^2}\\\theta=tan^{-1}(\frac{y}{x})$

Reference angles are the acutes angles that the terminal side of $\theta$ makes with the x-axis.

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The ratio of trumpet players to tuba players at a high school is 5:2 Which statement is true?

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The given ratio is 5 trumpet players : 2 tuba players.

A. Since the ratio is 5:2, at the smallest ratio there would be 7 players total (5+2). So tuba players would be 2/7, not 2/5.

B. If there are 7 total players, and the ratio is 5 trumpets : 2 tubas, then trumpets are in fact 2.5 times the number of tuba players (2 tubas *2.5 = 5 trumpets).

C. The ratio is 5 trumpet players : 2 tuba players, not 2 trumpet players for every 5 tuba players.

D. The ratio of tubas to total number of tubas and trumpets is $\frac{2tuba}{7total}= \frac{t}{100total} \\ t=28.57 tubas$