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3 years ago

May YOU help me with this one? Quickly??

Mathematics

1 answer:

Helga [31]3 years ago

8 0

Answer:

2000 dollars

Step-by-step explanation:

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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

1 year ago

What is the area of this?

Vanyuwa [196]

$area = lw \\ area = (7.5)(6) \\ area = 45 {feet}^{2}$

$area = \frac{1}{2} bh \\ area = \frac{1}{2} (6)(4) \\ area = \frac{1}{2} (24) \\ area = 12 {feet}^{2}$

total area = 45 + 12

total area = 57 feet²

6 0

3 years ago

Click to select the figure in the image that would portray the rotation of the given pre image and the rotation arrow. The first

sashaice [31]

Answer:

its a

Step-by-step explanation:

7 0

4 years ago

When an article is sold for $132.00, a profit of 10% is made. The cost of the<br> article is?

Orlov [11]

Answer:

118.8

Step-by-step explanation:

Profit=10%

=10/100 × $132

=$13.2

Cost price=Selling price- Cost price

=$132-$13.2

=$118.8

3 0

3 years ago

HELP !!! Use the elimination method to solve the system of equations.

Dafna1 [17]

Answer:

C. (5, -3)

Step-by-step explanation:

4x + 3y = 11

x - y = 8 (multiply by 3) --> 3x - 3y = 24

4x + 3y = 11

3x - 3y = 24

---------------------add

7x = 35

x = 5

5 - y = 8

y = 5 - 8

y = -3

(5, -3)

3 0

3 years ago

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