2 years ago

Find m Round to the nearest degree. B 7 C 13 9 A

Mathematics

1 answer:

Shtirlitz [24]2 years ago

6 0

steesdpkfmspdnvhksdvnsdvspkjjhj pumpkingg

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Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?

Maksim231197 [3]

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Step-by-step explanation:

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2 years ago

Multiply. ·−4/8*5*1/7

marysya [2.9K]

20/56 or.. 5/14........

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2 years ago

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gavmur [86]

Answer
B. Is the answer.

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2 years ago

PLEASE HELP I DO NOT UNDERSTAND AT ALL ITS PRECALC PLEASE SERIOUS ANSWERS

Elina [12.6K]

You want to end up with $A\sin(\omega t+\phi)$ . Expand this using the angle sum identity for sine:

$A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi$

We want this to line up with $2\sin(4\pi t)+5\cos(4\pi t)$ . Right away, we know $\omega=4\pi$ .

We also need to have

$\begin{cases}A\cos\phi=2\\A\sin\phi=5\end{cases}$

Recall that $\sin^2x+\cos^2x=1$ for all $x$ ; this means

$(A\cos\phi)^2+(A\sin\phi)^2=2^2+5^2\implies A^2=29\implies A=\sqrt{29}$

Then

$\begin{cases}\cos\phi=\frac2{\sqrt{29}}\\\sin\phi=\frac5{\sqrt{29}}\end{cases}\implies\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)$

So we end up with

$2\sin(4\pi t)+5\cos(4\pi t)=\sqrt{29}\sin\left(4\pi t+\tan^{-1}\left(\dfrac52\right)\right)$

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2 years ago

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vichka [17]

Box 1) (LxW) 20x6=120
box 2) (LxW) 15x4=60
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box 2 cost) (size of box x price of box) 60x1.25=75
subtract 150 and 75 to get 75

answer: the company is saving $75 by choosing to make 50 of box 2 instead of 50 of box 1

hope this makes sense comment if you need more explanation

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2 years ago