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2 years ago

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25 students tried out for the football team, but 40% only made the team. How many of the students made the football team? Provid

e an explanation :) A. 5 B. 10 C. 15 D. 20

1 answer:

Alexxandr [17]2 years ago

6 0

Answer:

B. 10

Step-by-step explanation:

$40\% \: of \: 25 = \frac{40}{100} \times 25 \\ \\ = \frac{40}{4} = 10$

Hence, 10 students made the football team.

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Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

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$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

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3 years ago

Using the discriminant, how many real number solutions does this equation have? 3x^2 – 2 = 5x

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The discriminant of this equation is 49. The solutions for this equation are x=2 and x=- $\frac{1}{3}$
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Answer:

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Step-by-step explanation:

What is the LCM of 9 and 15?

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