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tatyana61 [14]
3 years ago
11

Can someone solve this?

Mathematics
1 answer:
ladessa [460]3 years ago
6 0
  • First question:

Recall that \cos^2x+\sin^2x=1 and \sqrt{x^2}=|x| for all x. So

\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|

\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|

For 0, we expect both \cos x>0 and \sin x>0 (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, |x|=x if x>0.

So we have

\dfrac{\sqrt{1-\cos^2x}}{\sin x}+\dfrac{\sqrt{1-\sin^2x}}{\cos x}=\dfrac{\sin x}{\sin x}+\dfrac{\cos x}{\cos x}=1+1=\boxed{2}

making H the answer.

  • Second question:

C is always true, because the inequality reduces to x > y.

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Answer:

35%

Step-by-step explanation:

% of guests who attended the wedding is number of guests who attended the wedding divided by the number of invited guests and the result multiplied by 100%

Therefore

28/80 x 100%

0.35 x 100%

35%

35% of the invited guests attended the wedding

4 0
3 years ago
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
saw5 [17]

Using exponential function concepts, it is found that it represents a decay of 0.9%.

<h3>What is an exponential function?</h3>

A decaying exponential function is <em>modeled </em>by:

A(t) = A(0)(1 - r)^t

In which:

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In this problem, the function is:

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You can learn more about exponential function concepts at brainly.com/question/25537936

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In the interval,<br> [0,2), what are the solutionms of the equation sin x =-1/2?
kotykmax [81]

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Step-by-step explanation:

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3 years ago
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   i think that that the answer is 13   Step-by-step explanation:

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Ella swims four times a week at her clubs pool. She swims the same number of laps on Monday,Wednesday,Friday,and 15 laps on Satu
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She swims 12 laps on Monday.

Step-by-step explanation:

Total laps = 51 laps

Laps on Saturday = 15 laps

Let,

x be the number of laps on Monday, Wednesday and Friday each.

According to given statement;

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x+x+x+15=51\\3x=51-15\\3x=36

Dividing both sides by 3

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Keywords: addition, division

Learn more about division at:

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#LearnwithBrainly

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