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3 years ago

How do you simplify 7 (2x+10) thanks in advance

1 answer:

kramer3 years ago

5 0

The only thing you should do is to multiply 7 by 2x and 10.
so you will have: (7*2x) + (7*10) = 14x + 70 :)))
i hope this is helpful
have a nice day

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There were 578 piglets and 234 adult pigs in the warehouse building yesterday. Today, 126 piglets were sold, and 46 piglets will

natima [27]

Answer:

=406 piglets in the warehouse

Step-by-step explanation:

578-126=452

452-46=406

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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

What is 0.42 in a fraction in simplest form

RideAnS [48]

0.42 equals

- 42/100

- 21/50

The simplest form for 0.42 is 21/50

3 0

3 years ago

If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sales tax?

Delvig [45]

Since it includes 11% sales tax, this means that (purchase)+11% of (purchase)=25.00. Since 11% = 0.11 by multiplying it by 1/100, we have 1*purchase+0.11*purchase=1.11*purchase=25.00. Dividing both sides by 1.11, we get around 22.73 as the original purchase. This means that the difference between the purchase price and the total price is the sales tax, which is around 2.27 dollars.

Feel free to ask further questions!

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3 years ago

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Airida [17]

79.8 is the discount of the price of an armchair that originally cost $266.00......... because 266.00÷30%=79.8

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3 years ago

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