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brilliants [131]
3 years ago
9

Isthe number a fact of 6? Write yes or no.

Mathematics
1 answer:
dem82 [27]3 years ago
7 0
3 no
6 yes
16 no
18 yes
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[Pre-Calc] Please Help! I don’t know where to start. How do I do this?
sertanlavr [38]

Answer:

See Below.

Step-by-step explanation:

Problem A)

We have:

\displaystyle \csc^2\theta \tan^2\theta -1=\tan^2\theta

When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.

So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:

\displaystyle \left(\frac{1}{\sin^2\theta}\right)\left(\frac{\sin^2\theta}{\cos^2\theta}\right)-1=\tan^2\theta

Cancel:

\displaystyle \frac{1}{\cos^2\theta}-1=\tan^2\theta

Let 1/cosθ = secθ:

\sec^2\theta -1=\tan^2\theta

From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:

\tan^2\theta =\tan^2\theta

Problem B)

We have:

\sin^3x=\sin x-\sin x \cos^2 x

Factor out a sine:

\sin x(\sin^2 x)=\sin x-\sin x\cos^2 x

From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:

\sin x(1-\cos^2 x)=\sin x-\sin x\cos^2x

Distribute:

\sin x- \sin x \cos^2 x=\sin x-\sin x\cos^2 x

Problem C)

We have:

\displaystyle \frac{\cos 2x+1}{\sin 2x}=\cot x

Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:

\displaystyle \frac{\cos^2 x-\sin^2 x+1}{2\sin x\cos x}=\cot x

From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:

\displaystyle \frac{2\cos^2 x}{2\sin x\cos x}=\cot x

Cancel:

\displaystyle \frac{\cos x}{\sin x}=\cot x

By definition:

\cot x = \cot x

3 0
2 years ago
HELP PLEASE ITS DUE TODAY
monitta

Answer:

36 is the shorter length

4 0
2 years ago
Read 2 more answers
4(-x+4) =12 solve for x
VashaNatasha [74]

Answer: x=1

Step-by-step explanation:

   4 (-x+4)=12

 (-4x+16)=12

  -4x+16-16  =12-16

         -4x/-4 =-4/-4

                  x=1

I don't know if this is right, please let me know if it is wrong ο(=•ω<=)ρ⌒☆

4 0
3 years ago
Allie hits the ball 45% of the time
solong [7]

Answer:36 times hope it helps

Step-by-step explanation:

7 0
3 years ago
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
erica [24]

Answer:

Step-by-step explanation:

0.25 x 0.044 = 0.011

a. Changing 0.25 to 25 moves the decimal 2 places to the right, and changing 0.044 to 44 moves the decimal 3 places to the right, so once we solve 25 x 44, we have to move the decimal a total of 5 places to the left.

25 x 44 = 1100, then move the decimal 5 places to the left to get 0.01100...but we don't add the zeros at the end.

b. multiplying 1/4 times 0.044 = 0.044/4 = 0.011

Hope this helps.

8 0
2 years ago
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