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notsponge [240]

2 years ago

11

NEED THE ANSWER ASAP!!

1 answer:

kolezko [41]2 years ago

5 0

68 degrees because they’re vertical angles

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There are 3000 people at a concert you survey a random sample of 200 people and find that for 35 of them this is their first con

Ipatiy [6.2K]

Ok so
ratio
35/200=x/3000
7/40=x/3000
multiply both sides by 12000
2100=4x
divide both sides by 4
525=x

aprox 525 people

6 0

2 years ago

Please help me for the love of God if i fail I have to repeat the class

Elena-2011 [213]

$\theta$ is in quadrant I, so $\cos\theta>0$ .

$x$ is in quadrant II, so $\sin x>0$ .

Recall that for any angle $\alpha$ ,

$\sin^2\alpha+\cos^2\alpha=1$

Then with the conditions determined above, we get

$\cos\theta=\sqrt{1-\left(\dfrac45\right)^2}=\dfrac35$

and

$\sin x=\sqrt{1-\left(-\dfrac5{13}\right)^2}=\dfrac{12}{13}$

Now recall the compound angle formulas:

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

$\cos(\alpha\pm\beta)=\cos\alpha\cos\beta\mp\sin\alpha\sin\beta$

$\sin2\alpha=2\sin\alpha\cos\alpha$

$\cos2\alpha=\cos^2\alpha-\sin^2\alpha$

as well as the definition of tangent:

$\tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}$

Then

1. $\sin(\theta+x)=\sin\theta\cos x+\cos\theta\sin x=\dfrac{16}{65}$

2. $\cos(\theta-x)=\cos\theta\cos x+\sin\theta\sin x=\dfrac{33}{65}$

3. $\tan(\theta+x)=\dfrac{\sin(\theta+x)}{\cos(\theta+x)}=-\dfrac{16}{63}$

4. $\sin2\theta=2\sin\theta\cos\theta=\dfrac{24}{25}$

5. $\cos2x=\cos^2x-\sin^2x=-\dfrac{119}{169}$

6. $\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=-\dfrac{24}7$

7. A bit more work required here. Recall the half-angle identities:

$\cos^2\dfrac\alpha2=\dfrac{1+\cos\alpha}2$

$\sin^2\dfrac\alpha2=\dfrac{1-\cos\alpha}2$

$\implies\tan^2\dfrac\alpha2=\dfrac{1-\cos\alpha}{1+\cos\alpha}$

Because $x$ is in quadrant II, we know that $\dfrac x2$ is in quadrant I. Specifically, we know $\dfrac\pi2$ , so $\dfrac\pi4$ . In this quadrant, we have $\tan\dfrac x2>0$ , so

$\tan\dfrac x2=\sqrt{\dfrac{1-\cos x}{1+\cos x}}=\dfrac32$

8. $\sin3\theta=\sin(\theta+2\theta)=\dfrac{44}{125}$

6 0

3 years ago

1.Write an addition problem that has a sum of −4 3/5 and the two

Snowcat [4.5K]

Answer:

1. -6 3/5 + 2 = -4 3/5

2. -9 3/5 + 5 = -4 3/5

3. 33

Hope it helps

6 0

2 years ago

What method would you choose to solve the equation? 4x^2-48=0

melamori03 [73]

I'd definitely factor 4x^2-48 first. Factors are (4)(x^2-12).

This factors further: (4)* (x-2sqrt(3) ) * (x+2sqrt(3) )

6 0

2 years ago

The capacity of a small bottle of glueis 185 ml. how much glue is there in 5 bottles?

lys-0071 [83]

I think you should divide because there is a HINT it gives you the total so divide 5[185

7 0

2 years ago