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zubka84 [21]
2 years ago
10

Find a formula for cos(tan−1(2x)) in terms of x

Mathematics
1 answer:
aleksklad [387]2 years ago
4 0

~\cos\left( \tan^{-1} 2x\right)\\\\\\=\cos \left[\cos^{-1} \dfrac{1}{\sqrt{(2x)^2+1^2}} \right]~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Pythagorean theorem}]\\\\\\=\cos \left( \cos^{-1} \dfrac{1}{\sqrt{4x^2 +1}} \right)\\\\\\=\dfrac{1}{\sqrt{4x^2 +1}}

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If you multiply 2 xr you will get the *<br> -radius<br> -circumference<br> -diameter<br> -area
Komok [63]

Answer:

Diameter

Step-by-step explanation:

Variable r stands for radius.

The radius is half of the length within the circle from the two farthest points.

Multiplying this radius will get you the diameter, which is the full length (instead of half) within the circle from the two farthest points.

6 0
3 years ago
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A store is instructed by corporate headquarters to put a markup of 25​% on all items. An item costing ​$24 is displayed by the s
larisa [96]

Answer: The correct selling price is $29.97.

Step-by-step explanation:

Since we have given that

Cost price of an item = $27

Mark up rate = 11%

So, Amount of mark up would be

So, Amount after mark up would be

Hence, the correct selling price is $29.97.

The manager's likely error is that he has put the selling price the mark up amount only i.e $2.9≈$3 instead of adding the mark up amount to the cost price.

5 0
3 years ago
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Martin burns 360 calories running for 30 minutes. Paul burns 165 calories for every 15 minute he runs. If Kara runs for 20 minut
Yanka [14]

Answer:  She would have to burn between 220 and 240 calories per minute to have a calorie burn rate between those of Martin and Paul.

Step-by-step explanation:

Martin:

360 calories / 30 min = 12 calories/min

Paul:

165 calories / 15 min = 11 calories/min

Kara:

Needs to burn between 11 and 12 calories/min, so we'll calculate the range:

11 calories/min x 20 min = 220 calories (minimum # calories she can burn)

12 calories/min x 20 min = 240 calories (maximum # calories she can burn)

7 0
3 years ago
A circle has an area of 314.1592. What is the diameter? (round to the nearest whole number)
ad-work [718]

Answer:

20

Step-by-step explanation:

The area of a circle is equal to pi*radius^2

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314.1592=π*r^2

We then divide pi to get

100=r^2

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The diameter is always equal to the radius times two which means that the diameter is 20

hope this helps

8 0
3 years ago
Find the value of q in the following system so that the solution to the system is(4,2) 3x-2y=8
Nataliya [291]
We have that
<span>3x-2y=8 -----> equation 1
2x+3y=Q----> equation 2

the solution is the point </span><span>(4,2)
in the equation 2 substitute the value of
x=4
y=2
so
</span>2x+3y=Q------> 2*4+3*2=Q-------> Q=8+6------> Q=14
<span>
the answer is
Q=14

</span>
3 0
4 years ago
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