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2 years ago

Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.

Mathematics

1 answer:

pychu [463]2 years ago

3 0

<h3>Answer: 24/7</h3>

This is the same as writing the fraction $\frac{24}{7}$

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Explanation:

Use the pythagorean theorem to find the missing side.

$a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\$

The horizontal side of the right triangle is 7 units long.

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The $\tan(\theta)$ is the ratio of the opposite over adjacent.

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\$

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A survey of athletes at a high school is conducted, and the following facts are discovered: 13% of the athletes are football pla

nekit [7.7K]

Answer:

The probability that an athlete chosen is either a football player or a basketball player is 56%.

Step-by-step explanation:

Let the athletes which are Football player be 'A'

Let the athletes which are Basket ball player be 'B'

Given:

Football players (A) = 13%

Basketball players (B) = 52%

Both football and basket ball players = 9%

We need to find probability that an athlete chosen is either a football player or a basketball player.

Solution:

The probability that athlete is a football player = $P(A)= \frac{13}{100}=0.13$

The probability that athlete is a basketball player = $P(B)= \frac{52}{100}=0.52$

The probability that athlete is both basket ball player and football player = $P(A\cap B) = \frac{9}{100}=0.09$

We have to find the probability that an athlete chosen is either a football player or a basketball player $P(A\cup B)$ .

Now we know that;

$P(A\cup B)= P(A) + P(B) - P(A \cap B)\\\\P(A\cup B) = 0.13+0.52-0.09=0.56\\\\P(A\cup B) = \frac{0.56}{100}=56\%$

Hence The probability that an athlete chosen is either a football player or a basketball player is 56%.

5 0

4 years ago

Examine the following table, which defines the relationship y= f(x). Then, answer the question.

erastova [34]

The slope of the function is most positive either side of x=0 and x=2π.

On the interval [0, π/4], the average slope is $\dfrac{(\frac{\sqrt{2}}{2})}{(\frac{\pi}{4})} = \dfrac{2\sqrt{2}}{\pi}$

On the interval [7π/4, 9π/4], the average slope is $\dfrac{(\frac{\sqrt{2}}{2}-\frac{-\sqrt{2}}{2})}{(\frac{9\pi}{4}-\frac{7\pi}{4})}=\dfrac{2\sqrt{2}}{\pi}$

The average rate of change is highest on the intervals [0, π/4] and [7π/4, 9π/4].

4 0

3 years ago

If $5000 is invested at 7.8% interest compounded monthly, how much would you have after 54 months?

Nuetrik [128]

5000 x (1+0.078/12)^54

5000 x (1.0065)^54

$7094.37

6 0

4 years ago

If a turtle can move 1/7 of a km every hour, then how many hours would it take for a turtle to go 5 km?

Paul [167]

Answer:

it take 1/7 km in 1 hour then,

1 km it take 7 hours

so, it cover 5 km in 35 hours

1/7 km ------- 1 hour

1km ------- 7 hour

5km -------( 5*7) == 35 hours

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3 years ago

Please help. Find the value for x to the nearest tenth. See picture.

kogti [31]

To me the answer is 6.4 and welcome get a good grade

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3 years ago