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OverLord2011 [107]
3 years ago
9

What is the distance between -10 and 5 on the number line?

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

the distance is 15

Step-by-step explanation:

because if we take away the negative on the -10 and make it positive 10 and add 5 it would be 15 spaces

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There are 24 hours in a day, At 7 a.m. how many hours are left in the day?
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17

Step-by-step explanation:

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If tan ⁡x=12/5, and 0°
Charra [1.4K]

The value of sin(2x) is \frac{120}{169}

Explanation:

Given that tan x =\frac{12}{5}

The formula for sin(2x) is \sin (2 x)=2 \sin x \cos x

Since, \tan x=\frac{o p p}{a d j}

Also, it is given that tan x =\frac{12}{5}

Thus, opp=12 and adj=5

To find the hypotenuse, let us use the pythagoras theorem,

\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}

Now, we can find the value of sin x and cos x.

\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}

\cos x=\frac{a d j}{h y p}=\frac{5}{13}

Now, substituting these values in the formula for sin 2x, we get,

\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}

Thus, the value of sin(2x) is \frac{120}{169}

8 0
2 years ago
Joe ate twice as many pieces of Halloween candy as Ed. Together they ate 48 pieces. How many pieces of candy did ed eat ?​
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48 in total theirs two people so that’s 12 each but joe had 2 twice as many as Ed. Which Ed ate 6
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10(5 - n) - 1 = 29<br><br> n = ?<br> Help!
nydimaria [60]

n = 2

distribute and simplify left side of equation

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49 - 10n = 29 ( subtract 49 from both sides )

- 10n = 29 - 49 = - 20

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2 3/4 divided by 1/4
is
2 3/4 multiplied by 4/1

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3 0
3 years ago
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