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Mnenie [13.5K]
4 years ago
11

Which of following equations are identities. Check all that apply.

Mathematics
2 answers:
natka813 [3]4 years ago
5 0
Your answer would be D and B , Hope this helps !
igomit [66]4 years ago
4 0
I think answer should be d. Please give me brainlest I hope this helps
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Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°
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Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}&#10;\\\\\\&#10;\textit{using the pythagorean theorem}\\\\&#10;c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad &#10;\begin{cases}&#10;c=hypotenuse\\&#10;a=adjacent\\&#10;b=opposite\\&#10;\end{cases}

\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}&#10;\\\\\\&#10;therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}&#10;\\\\&#10;-------------------------------\\\\&#10;sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13}  \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}
3 0
4 years ago
And employees salary increase by $4500 which represents a 15% raise what is the employees new salary
andriy [413]
4500÷.15= 30,000
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6 0
3 years ago
Amanda earned a score of 940 on a national achievement test that was normally distributed. The mean test score was 850 with a st
hichkok12 [17]

Answer:

lower than Amanda:  816 students

Step-by-step explanation:

An equivalent way in which to state this problem is:  Find the area under the standard normal curve to the left (below) 940.

Most modern calculators have built in distribution functions.

In this case I entered the single command   normalcdf(-1000,940, 850, 100)

and obtained 0.816.

In this particular situation, this means that 0.816(1000 students) scored lower than Amanda:  816 students.

6 0
3 years ago
Read 2 more answers
|a+x|/2 − |a−x|/2 , if a=−2; x=−6<br><br> PLZ HELP!!!
Alchen [17]

Answer:

2

Step-by-step explanation:

|a+x|/2 − |a−x|/2 , if a=−2; x=−6

Evaluate this expression

Simply plug in the numbers

| -2 + -6 | /2   -   |-2 - -6|/2

|-8| /2  -   |4|/2

4 - 2

2

8 0
3 years ago
Read 2 more answers
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