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2 years ago

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Write a multiplication fact that goes with this division fact. 24 ÷ 4 = 6

2 answers:

Andrew [12]2 years ago

8 0

4 x 6 = 24 six times four is twenty four

Nutka1998 [239]2 years ago

3 0

I the answer is 4 x 6 and 4 x 6 is 24 and the oppisite of 24 divided by 4 is 6

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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

Arrange the following numbers in order from least to greatest.<br><br>7, 7.1, 7.2, √51<br>

never [62]

Answer:

7, 7.1, √51, 7.2

Step-by-step explanation:

√51 is 7.14

5 0

2 years ago

Ahmed is making 8 kites. He uses 5 yards of ribbon for each kite. If he adds 3 more identical kites which he has already made be

il63 [147K]

he would have 11 kites in total, hope this helps!

3 0

2 years ago

URGENT!!!The number of questions on a math test is represented (3x+1). The number of questions on a spelling test is represented

timama [110]

(3x+1)-(x+12)

(24+1)- 20

25-20=5

5 more questions

7 0

2 years ago

1/4 pound of green grapes and 2/3 pound of red grapes She ate 1/2 pound of the grapes . What is the amount of grapes Natasha has

JulijaS [17]

Answer:

5/12 left

Step-by-step explanation:

1- you need to take 1/4 and 2/3 and find a common denominator, to find the exact amount of pounds.

2- Once you have 3/12 and 8/12, add them to get 11/12.

3-Now you know you don't have a full pound. Then subtract 1/2 from 11/12 ->

11/12 - 6/12 = 5/12

3 0

2 years ago