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3 years ago

Describe the sequence of basic rigid motions that shoews S1 = S2

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

Answer:

S1 is congruent to S2

Step-by-step explanation:

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The following proportion could be used to change from gallons to which measure.

antoniya [11.8K]

Answer:

C. quarts

Step-by-step explanation:

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2 years ago

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Could someone please help me:) I am stick and I am not sure what to do

Delicious77 [7]

Answer:

Part 5.1.1:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

Step-by-step explanation:

We are given that:

$\displaystyle \sin 2A = \frac{\sqrt{15}}{8}$

Part 5.1.1

Recall that:

$\displaystyle \sin^2 \theta + \cos^2 \theta = 1$

Let θ = 2A. Hence:

$\displaystyle \sin ^2 2A + \cos ^2 2A = 1$

Square the original equation:

$\displaystyle \sin^2 2A = \frac{15}{64}$

Hence:

$\displaystyle \left(\frac{15}{64}\right) + \cos ^2 2A = 1$

Subtract:

$\displaystyle \cos ^2 2A = \frac{49}{64}$

Take the square root of both sides:

$\displaystyle \cos 2A = \pm\sqrt{\frac{49}{64}}$

Since 0° ≤ 2A ≤ 90°, cos(2A) must be positive. Hence:

$\displaystyle \cos 2A = \frac{7}{8}$

Part 5.1.2

Recall that:

$\displaystyle \begin{aligned} \cos 2\theta &= \cos^2 \theta - \sin^2 \theta \\ &= 1- 2\sin^2\theta \\ &= 2\cos^2\theta - 1\end{aligned}$

We can use the third form. Substitute:

$\displaystyle \left(\frac{7}{8}\right) = 2\cos^2 A - 1$

Solve for cosine:

$\displaystyle \begin{aligned} \frac{15}{8} &= 2\cos^2 A\\ \\ \cos^2 A &= \frac{15}{16} \\ \\ \cos A& = \pm\sqrt{\frac{15}{16}} \\ \\ \Rightarrow \cos A &= \frac{\sqrt{15}}{4}\end{aligned}$

In conclusion:

$\displaystyle \cos A = \frac{\sqrt{15}}{4}$

(Note that since 0° ≤ 2A ≤ 90°, 0° ≤ A ≤ 45°. Hence, cos(A) must be positive.)

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3 years ago

Solve and Check -N/5=5 Can someone explain this to me?

Lunna [17]

Hi! First, we multiply both sides by 5, -n/5*5=5*5=-n=25. Second, we divide both sides by -1, -n/-1=25/-1. Therefore, our answer is n=-25

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3 years ago

How much would $100 invested at 8% intrest compounded annually be worth after 15 years? round your answer to the nearest cent. d

frosja888 [35]

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4 years ago

1/4 divided by 2/5? I WILL MARK THE BRAINLIEST

dmitriy555 [2]

Answer:

I do believe The Answer Is 0.625

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