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jarptica [38.1K]
2 years ago
6

Which expression is equivalent to sin(2x) cosx

Mathematics
1 answer:
Vsevolod [243]2 years ago
7 0

Answer:

2sin(x)cos^2(x)

Step-by-step explanation:

To solve the problem, you must expand the trigonometric expression using the information given.

sin(2x)cosx\\sin(2x)\\=2sin(x)\\=2sin(x)cos^2(x)

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2. In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviati
Kobotan [32]

Answer: $85,000

Step-by-step explanation:

Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.

\mu_M=40,000\ \ ;\sigma_M=12,000

Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.

\mu_F=45,000\ \ ;\sigma_F=18,000

If  C denote the combined earnings for a randomly selected couple.

Then, the mean of C will be :-

\mu_c=\mu_M+\mu_F\\\\=40,000+45,000=85,000

Hence, the mean of C = $85,000

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3 years ago
Find the difference. <br> - 4 1/9 - 7 2/3<br> **Answer should be a fraction**
olganol [36]

Answer:

your answer is

- 11 \frac{7}{9}

4 0
2 years ago
Use the formula v=u+at <br>calculate v when:<br>u=10, a=3, t=2.5​
Ksenya-84 [330]

Answer:

<h2>17.5</h2>

Step-by-step explanation:

v = 10 + 3 \times 2.5 \\ v = 10 + 7.5 \\ v = 17.5

This is your answer :))

7 0
3 years ago
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Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.
Hitman42 [59]
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\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}&#10;\\\\\\&#10;sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}&#10;\\\\\\&#10;\textit{using the pythagorean theorem}\\\\&#10;c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}

\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a&#10;\\\\\\&#10;\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\&#10;-------------------------------\\\\&#10;tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}&#10;\\\\\\&#10;\textit{and now, let's rationalize the denominator}&#10;\\\\\\&#10;\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}&#10;
7 0
3 years ago
PLS HELP WILL GIVE BRAINLIEST
Vanyuwa [196]

Answer:

The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Step-by-step explanation:

In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.

In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.

In the last segment, it moved up again for 2 hours.

7 0
3 years ago
Read 2 more answers
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