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3 years ago

Find x . round your answer to the nearest tenth of a degree

Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

Answer:

please what's the question can't see any

USPshnik [31]3 years ago

5 0

Answer:

whats the question?

Step-by-step explanation:

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cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta

NikAS [45]

First calculate $\sin\theta$ .

$\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}$

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

$\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\
\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}$

5 0

3 years ago

Read 2 more answers

Pleasee help asapp .

Rufina [12.5K]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Explain ehy the square root of 64 has a positive and a negative value.

Ganezh [65]

The square root of 64 is 8, or -8

This is because 8 times 8 is 64

And -8 times -8 is 64 (because a negative times a negative is a positive)

8 0

3 years ago

Read 2 more answers

CAN SOMEONE PLEASE HELP ME! TODAY IS MY LAST DAY!! WILL MARK BRAINLIEST

finlep [7]

The given triangle is a right-angled triangle. This means that special trig identities can be applies

These identities are as follows:

sin (theta) = opposite / hypotenuse

cos (theta) = adjacent / hypotenuse

tan (theta) = opposite / adjacent

Now, for the unknown theta in the triangle:

The opposite side is 16 and the hypotenuse is 20

This means that we will use the sin not the cos as Bob did

The solution will be as follows:

sin (theta) = opposite / hypotenuse

sin (theta) = 16 / 20

theta = sin^-1(16/20)

theta = 53.13°

Hope this helps :)

7 0

2 years ago

1.) Give an example of two variables with a strong? correlation, where each variable does not cause the other.

Phoenix [80]

Answer:

B. Long weekends and highway traffic on Friday afternoon

Step-by-step explanation:

Correlation is used to measure the strength of the relationship among variables. The variables are said to be strongly correlated if their relationship is strong.

Here, In option (A) Company's quarterly earnings reports and Stock performance has usually little correlation between them. So, this option is not true.

On long weekends people usually go for a family trip or their own home so it results in more highway traffic on Friday afternoon. Hence, there is a strong correlation between Long weekends and highway traffic.

As the price of beef and dairy product does not depend on each other. So, it doesn't have a strong correlation.

Similarly, Option (D) is also not true.

8 0

3 years ago