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3 years ago

2+0.4+0.06+0.002 whats tHe nUMBER iN sTAnDARD fORM

Mathematics

1 answer:

sveticcg [70]3 years ago

6 0

Answer:

2.462

Step-by-step explanation:

I added up the decimals.

2+0.4=2.4

2.4+0.06=2.46

2.46+0.002=2.462

And I got 2.462 as my final sum.

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If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

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

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

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$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

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3 years ago

How many solutions does this linear system have? <br><br> Y=2/3x+2 <br><br> 6x-4y=-10

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Solve the inequality. -45<-9k would the answer be 5>k or 5

Mashutka [201]

Answer:

5 > k

Step-by-step explanation:

-45 < -9k

Switch sides

-9k > -45

Multiply both sides by -1 (reverse the inequality)

( -9k )( -1 ) < ( -45 )( -1 )

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3 years ago

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koban [17]

Answer:

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Step-by-step explanation:

(4/16)^2 = 1/16. Input the following in the calculator.

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3 years ago

Read 2 more answers