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3 years ago

6

Write the radian measure of each angle with the given degree measure explain your reasoning

1 answer:

nexus9112 [7]3 years ago

6 0

Answer:

90 = π/2

45 = π/4

0 and 360 = 0 and 2π

135 = 3π/4

180 = π

225 = 5π/4

270 = 2π/3

315 = 7π/4

315 =

Step-by-step explanation:

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Find out the answers to this

meriva

Answer:

$\tan \theta = - \frac{1}{5} = - 0.2$

$\cos \theta = 0.98$

$\sin \theta = - 0.196$

Step-by-step explanation:

It is given that $\cot \theta = - 5$ and $\theta$ is in the fourth quadrant.

So, only $\cos \theta$ will have positive value and $\sin \theta$ , $\tan \theta$ will have negative value.

Now, $\cot \theta = - 5$

⇒ $\tan \theta = \frac{1}{\cot \theta} = -\frac{1}{5}$ (Answer)

We know, that $\sec^{2} \theta - \tan^{2} \theta = 1$

⇒ $\sec \theta = \sqrt{1 + \tan^{2} \theta } = \sqrt{1 + (- \frac{1}{5} )^{2} } = 1.019$

{Since, $\cos \theta$ is positive then $\sec \theta$ will also be positive}

⇒ $\cos \theta = \frac{1}{\sec \theta} = \frac{1}{1.0198} = 0.98$ (Answer)

We know, that $\csc^{2} \theta - \cot^{2} \theta = 1$

⇒ $\csc \theta = - \sqrt{1 + \cot^{2} \theta } = - \sqrt{1 + (- 5 )^{2} } = - 5.099$

{Since, $\sin \theta$ is negative then $\csc \theta$ will also be negative}

⇒ $\sin \theta = \frac{1}{\csc \theta} = \frac{1}{- 5.099} = - 0.196$ (Answer)

4 0

3 years ago

Find the value of t needed to make the equation shown true. <br><br> 25t = 12.5

-Dominant- [34]

Answer:

1/2

Step-by-step explanation:

Hi Avahosel2020!

To find the value of $t$ we need to simplify the equation:

25 $t$ = 12.5

To just get $t$ , we must divide 25 on both sides:

$\frac{25t}{25}$ = $\frac{12.5}{25}$

<u>We can move the decimal one spot over and add a 0 to the denominator:</u>

$\frac{25t}{25}$ = $\frac{125}{250}$

$t$ = $\frac{125}{250}$

Simplifying!

$\frac{125}{250}$ = $\frac{1}{2}$ .

Thus, $t$ has the value of $\boxed{\frac{1}{2} }$ .

7 0

3 years ago

Which number line represents the solution to -3x ≤ -36?

seraphim [82]

Answer:

x ≥12

Step-by-step explanation:

-3x ≤ -36

Divide each side by -3, remembering to flip the inequality

-3x/-3 ≥ -36/-3

x ≥12

4 0

3 years ago

HIGH POINT REWARD

Yuki888 [10]

Total number of seniors = 55 + 70 = 125
Number of seniors who plan to go to college = 55

Percentage of seniors who plan to go to college = 55/125 x 100 = 44%

Answer: 44%

3 0

3 years ago

What is the value of x? Round to the nearest tenth. Please Help

Elodia [21]

Answer:

<h2>x = 6.5 cm</h2>

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm$

Substitute:

$x^2+20.2^2=(14.7+x)^2$ <em>use (a + b)² = a² + 2ab + b²</em>

$x^2+408.04=14.7^2+(2)(14.7)(x)+x^2$ <em>subtract x² from both sides</em>

$408.04=216.09+29.4x$ <em>subtract 216.09 from both sides</em>

$191.95=29.4x$ <em>divide both sides by 29.4</em>

$x\approx6.5\ cm$

7 0

3 years ago