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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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Please explain and ANSWER this question for BRAINLIEST!
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Answer:

155 in^{2}

Step-by-step explanation:

Hope this work helps

4 0
2 years ago
At the dog park on Monday, the ratio of small dogs to all dogs was three to seven. A total of 42 dogs were at the park. How many
faust18 [17]

Answer:

18 small dogs

Step-by-step explanation:

Given the ratio  of small dogs to all dogs was 3:7

Total dogs that are there = 42 dogs

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Hence there are 18 small dogs there

7 0
3 years ago
Needed help for my math please
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{a}{a} = 1 ( any value divided by itself = 1 )

(b)

\frac{a}{1} = a ( any value divide by 1 is the value itself )

(c)

\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

\frac{a}{b} ÷ \frac{c}{d} = \frac{ad}{bc}

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}

(e)

\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}

See explanation for part (e)




6 0
3 years ago
2 [ 32 - (4-1) to the third power ]
Tems11 [23]

Answer:

Step-by-step explanation:

2

4 0
3 years ago
Read 2 more answers
Please can someone help me ill mark brainliest
kramer
#5 is 4, #6 is graph A, and #7 is graph B. I hope this helped, Please mark as brainliest because I am 3 more away from the next level.
7 0
3 years ago
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