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3 years ago

How many meters below the surface of the water is the ring? LOOK AT THE PICTURE

Mathematics

1 answer:

insens350 [35]3 years ago

4 0

It's exactly 4 meters because the question is asking how far below is it from the surface of the water.

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Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

ahrayia [7]

Answer:

<u>The correct answer is the letter C. </u>

Step-by-step explanation:

We can use the following trigonometric identity:

$cos(60)=\frac{6}{b}$ (1)

$cos(45)=\frac{c}{b}$ (2)

Solving each equation by b and equaling we have:

$\frac{6}{cos(60)}=\frac{c}{cos(45)}$

Let's recall that:

$cos(45)=\frac{1}{\sqrt{2}}$

$cos(60)=\frac{1}{2}$

Then we have:

$c=\frac{cos(45)*6}{cos(60)}$

$c=\frac{2*6}{\sqrt{2}}$

$c=\frac{12}{\sqrt{2}}$

$c=6\sqrt{2}$

Using equation (1) we can find b.

$cos(60)=\frac{6}{b}$

$b=12$

Finally, we can find a using the next equation:

$tan(60)=\frac{a}{6}$

$a=6*tan(60)$

$a=6\sqrt{3}$

<u>Therefore, the correct answer is the letter C. </u>

I hope it helps you!

5 0

2 years ago

Elaine had StartFraction 5 Over 8 EndFraction of a pizza left after lunch. She told 5 of her friends that they could share the r

Zanzabum

They each got 1/8 of a slice

3 0

2 years ago

I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem i

Anna [14]

We know that the law of sines states that:

$\frac{\sin\alpha}{a}=\frac{\sin\beta}{b}$

For simplicity, let:

$\beta=m\angle A_1BC$

In triangle A1BC this leads to:

$\begin{gathered} \frac{\sin31}{5}=\frac{\sin\beta}{6} \\ \sin\beta=\frac{6}{5}\sin31 \\ \beta=\sin^{-1}(\frac{6}{5}\sin31) \\ \beta=38.174 \end{gathered}$

Therefore:

$m\angle A_1BC=38.174$

Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:

$m\angle CA_2B=180-38.174=141.826$

8 0

1 year ago

Does anybody know the answer to this?

Finger [1]

Answer:

true

Step-by-step explanation:

4 0

2 years ago

Which of the x-values are solutions to the following inequality? x<365

vladimir1956 [14]

Answer:

Choice A ; Choice B

Step-by-step explanation:

x < 365

x ∈ ( -oo ; 365 )

Solutions :

Choice A

x = 99

Choice B

x = 361

7 0

3 years ago