Plssssssss help meeeee

Mathematics

1 answer:

RUDIKE [14]2 years ago

5 0

Im pretty sure these are the answer but make sure to double check.
1.C
2.C
3.C

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I want to visit a friend that lives 200 miles away. Gas is $4 a gallon. My car gets 50 miles every 2 gallons of gas. How can I s

Pavel [41]

If you are trying to figure out how much it will cost:
8 x 4 = 32
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3 years ago

Caleb wants to work as a dog walker. One client offers him $10 per day to walk his dog Puff, and wants Caleb to walk Puff every

aksik [14]

Answer:

he will earn more from walking Puff

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if he is walking Puff for ten dollars 7 days a week, thats 70 dollars.

the other dog would get him 60 dollars a week.

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3 years ago

Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)

DaniilM [7]

$5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x$

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

$10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0$

Now the zero product property tells us that there are two cases where this is true,

$\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}$

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of $\dfrac\pi2$ , so $x=\dfrac{(2n+1)\pi}2$ where $n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}$

which occurs twice in the interval $[0,2\pi)$ for $x=\arcsin\dfrac3{10}$ and $x=\pi-\arcsin\dfrac3{10}$ . More generally, if you think of $x$ as a point on the unit circle, this occurs whenever $x$ also completes a full revolution about the origin. This means for any integer $n$ , the general solution in this case would be $x=\arcsin\dfrac3{10}+2n\pi$ and $x=\pi-\arcsin\dfrac3{10}+2n\pi$ .