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2 years ago

5

Sebastian ran 8.64 miles in 2.4 hours at a steady pace.

1 answer:

serg [7]2 years ago

6 0

Sebastian ran 1.44 miles in the last 24 minutes. First, divide 8.64 by 2.4 to get 3.6 miles per hour. Since the question is asking for the last 24 minutes, divide 3.6 by 60 which gives you 0.06. Then, just multiply the rate per minute by 24 which gives you how many miles he ran in the last 24 minutes of his run.

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Answer: 205 lbs

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2 years ago

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Answer:

4

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=

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Step-by-step explanation:

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2 years ago

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 $\frac{120}{169}$

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2 years ago

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Hitman42 [59]

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3 years ago

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