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3 years ago

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Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour

of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.

1 answer:

Neko [114]3 years ago

4 0

150.00 is your answer

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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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QUICK !<br> What is the image point of (5,-5) after a translation right 2 units and up 3 units ?

faust18 [17]

Answer:

(7,-2)

Step-by-step explanation:

First, you move to the right of y-axis like 5 to 7,

then you movie to the up of x-axis like -5 to -2.

So the answer was (7,-2)

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3 years ago

What is the complement of the supplement of 130 degrees?

Brut [27]

Answer:

50°

Step-by-step explanation:

180° - 130° = 50°

Mark my answer as the brainliest if this helped! :)

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2 years ago

Answer all questions shown

FromTheMoon [43]

SOH CAH TOA

—>

Sin D = 13 sqrt3/26 = 0.76
Sin E = 13/26 = 0.47
Cos D = 13/26 = 0.87
Cos E = 13 sqrt3/26 = 0.64

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2 years ago

Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends?

Allushta [10]

Answer:

D. 60

Step-by-step explanation:

To find an equal number of numbers the sum has to be equal to 6*x.

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3 years ago

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