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3 years ago

5

Hugo the mountain goat has scaled 350 feet of mountains and hills on his travels. He has climed 95 feet of hill and 3 mountain p

eaks. How many feet high was each mountain peak? Write an equation that represents this situation.
(2 PART PROBLEM!)

1 answer:

bagirrra123 [75]3 years ago

4 0

Uhmm its hard well thnx anyway.

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Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?

Nostrana [21]

822.42 miles in 2.7 hours

304.6 × 2.7 = 822.42

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3 years ago

General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}

mixer [17]

Answer:

$\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

Step-by-step explanation:

Given:

$\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1$

First, note that

$\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x$

So, the equation is

$-\cos x+\sin x= -1$

Multiply this equation by $\frac{\sqrt{2}}{2}:$

$-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}$

The general solution is

$x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

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3 years ago

3. A city is selling tickets for Family

scoray [572]

Answer:

$4650

Step-by-step explanation:

.....................

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2 years ago

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Help what’s the total lol i’m confused

belka [17]

Answer:

45

Step-by-step explanation:

brainliest?

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3 years ago

6(x + 3) - 2 < 8(x + 5)

stira [4]

The answer is $x>-12$

First you must use distributive property to simplify.

$6x+18-2$

Then, you must subtract 18 on both sides

$6x-2$

Next, add 2 on both sides

$6x$

Then, subtract 8x on both sides

$-2x$

Finally, Divide both sides by -2. Don't forget to switch the equality sign because the variable was changed to a positive using division.

$x>-12$

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3 years ago

Read 2 more answers