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choli [55]
3 years ago
12

Steam

Mathematics
1 answer:
Alexus [3.1K]3 years ago
7 0

Answer:

5436

Step-by-step explanation:

take 6.2 and ÷ 250 then × it by 22

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Question 4- You need to subtract the shortest bolt from the longest bolt, or 1 1/4 minus 3/8. Make 1 1/4 improper and make the denominator 8 so multiply 5x2=10 and 4x2=8. 10/8 - 3/8 equals 7/8 and thats your final answer. Hope this helped ;)
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Khan uses 78 feet of fence to make a rectangular pen for his pet rabbit. The length of the pen is 25 feet. What is the width of
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The width of the rectangular pen is equal to 14 feet.
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Solve the following system of equations using the elimination method. 5x + y = 9 –10x + 7y = 18 Question 6 options: A) (2,–6) B)
Leya [2.2K]

Answer:

Step-by-step explanation:

5x + y = 9

-10x + 7y = 18

10x + 2y = 18

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When solving negative -1/3.(x − 15) = −4, what is the correct sequence of operations
FrozenT [24]

Answer:

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Step-by-step explanation:

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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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3 years ago
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