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3 years ago

Find the area of the figure.

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

7 0

the answer is 132

hope this helps you!!

laila [671]3 years ago

7 0

Answer:

132

Step-by-step explanation:

area of rectangle: A=bxh 7x4=28

area of triangle on both sides: A= h6bb/2 A=24

area of rectangle 2: 7x8=56

add all together: 28+24+24+56= 132

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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

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

8 0

3 years ago

Read 2 more answers

The value of a boat is depreciating at a rate of 7% per year. In 2004 the boat was worth $180,000. Whats the value in 2009?

ankoles [38]

Answer:

$117,000

Step-by-step explanation:

-0% 2004

-7% 2005

-14% 2006

-21% 2007

-28% 2008

-35% 2009

180,000 x 0.35 (35%) = 63,000

180,000 - 63,000 = 117,000

$117,000

7 0

3 years ago

Five pounds is 2.268 times as heavy as one kilogram. How many times as heavy is two pounds than one kilogram?

Margarita [4]

5/2.268=2/x
5x=4.536
x=0.9072
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4 years ago

What is 69/8 as mixed number?

Dafna1 [17]

There you go
..............

5 0

3 years ago

If brownies are baked in a pan measuring 13 inches long by 9 inches

nataly862011 [7]

Answer:

The brownies will be a little thicker in a 9 x 13” pan. 8 x 8= 64 square inches, doubled that's 128. 9 x 13= 117

Step-by-step explanation:

3 0

3 years ago