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3 years ago

How do i do this? the interquartile range? please help!

Mathematics

1 answer:

Irina18 [472]3 years ago

3 0

Answer:

Step-by-step explanation:

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Does the order pair, (2,3) satisfy the following function y=-3x-2 Yes,No

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Answer:

Step-by-step explanation:

The function y=-3x-2 does not go through the ordered pair (2,3).

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2 years ago

Write 0.54 as a fraction.

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The answer is fifty four hundredths

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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,

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

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6 months ago

I need to solve this equation: x= r-h/ y<br> for h and then for r

ololo11 [35]

X= r-h/y
h= xy-r/-1
r= xy+h

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2 years ago

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What is the sum of (–2.1x + 3.7) and (5 + 4.9x)?

vesna_86 [32]

It's easier to work with problems such as –2.1x + 3.7 -5 + 4.9x when we rearrange the like terms vertically:

–2.1x + 3.7 -5 + 4.9x

becomes

–2.1x + 3.7

+4.9x -5

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2.8x - 1.3 (answer)

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3 years ago