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2 years ago

I NEED HELP AGAIN T^T

Mathematics

1 answer:

Gala2k [10]2 years ago

7 0

Answer:

adjacent angles

Step-by-step explanation:

they all touch

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2.5 divided by 23.35

joja [24]

10.7=11 is the answer to 23.5 divide by 2.5

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2 years ago

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Use the given information to find the exact value of the trigonometric function

eimsori [14]

$\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}$

Half Angle Formula

$\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}$ $\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}$ $\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}$ $\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\ \\ \end{gathered}$

Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

The answer is none of the choices

7 0

8 months ago

The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

$2x+4x=180$

solve for x

$6x=180$

$x=30$

step 2

Find the measure of an exterior angle

substitute the value of x

$2x=2(30)=60\°$

step 3

Find the measure of an interior angle

substitute the value of x

$4x=4(30)=120\°$

In this problem the regular polygon is a hexagon

6 0

3 years ago

5(x – 10) = 30 – 15x<br> Solve

Doss [256]

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x +15x

20x - 50 = 30

+50 +50

20x = 80

/20 /20

x = 4

Hope this helps!

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3 years ago

Can someone please give me the (Answers) to this? ... please ...

Korvikt [17]

Answer:

6:A

7;B

8;c

9;A

10:c

11;b

12:A

3 0

1 year ago

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