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zubka84 [21]
2 years ago
13

A doctor has invented a relaxation method that he

Mathematics
1 answer:
likoan [24]2 years ago
4 0

Answer:

Exam score

Step-by-step explanation:

The response variable also known as the d pendent variable, is simply the variable we intend to measure based in a set of variables (independent variables or explanatory variables) which might cause it to change. For instance, the scenario above aims to look into how a certain relaxation method will affect the exam score, here, the variable we intend to measure is the response variable which is exam score. The exam score is affected by the impact the relaxation method has on the student, hence, the relaxation method is the independent or explanatory variable.

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Show with work please.
kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that \text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)

-\text{cos} \left(\theta\right)

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

\text{sec}(-\theta)=\text{sec}(\theta)

And, \text{sec}(\theta)=-0.73

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0
3 years ago
A pyramid has a square base with side s. the hight of the pyramid is 2/3 that of its side. What expression for the volume of the
Bess [88]

i have no clue sorry i cant help you :)

6 0
3 years ago
The product of a number and twice that number is 180000, write the multiplication problem
ElenaW [278]
Six hundred times 300 equals 180,000
3 0
3 years ago
Read 2 more answers
If guy walks from his house to school and back,how far does he walk?
Serga [27]
He walked the same distance to school and back home.
I hope this helped! :-)
8 0
3 years ago
Read 2 more answers
Determine the length of the missing side in each of the right triangles below using the Pythagorean Theorem: a2 + b2 = c2.
lara31 [8.8K]
The answer is 12
{13}^{2}  =  {5}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {13}^{2}  -  {5}^{2}  \\ b {}^{2}  = 169 - 25 = 144
b =  \sqrt{144}  = 12


good luck
8 0
3 years ago
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