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loris [4]
3 years ago
8

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 4700 seats. The students

filled 2021 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Mathematics
2 answers:
ivolga24 [154]3 years ago
8 0
To find the percentage, the equation would be:

How much percent of 4700 would 2021 be?

The answer is:

43%
Hope this Helped ^^
SSSSS [86.1K]3 years ago
3 0

Answer: 43%

Step-by-step explanation:

2021/4700 = 0.43

0.43 x 100 = 43%

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If f(x) = 5x, what is f -1 (x) ?
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Step-by-step explanation:

f^{-1}\left( x\right)  =y\Longleftrightarrow f\left( y\right)  =x

…………………………

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\Longleftrightarrow  y =\frac{x}{5}

\Longleftrightarrow  f^{-1}(x) = \frac{x}{5}

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2 years ago
Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

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\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
2 years ago
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