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3 years ago

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A pair of jeans is regularly priced at $45.99. If the sale price is $32.99, to the nearest percent, what is the percent decrease

in the cost of the jeans?
i need help

1 answer:

taurus [48]3 years ago

6 0

Answer:

7 percent or 11

Step-by-step explanation:

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Save me the headache

maxonik [38]

$(9\sin2x+9\cos2x)^2=81$

Taking the square root of both sides gives two possible cases,

$9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1$

or

$9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1$

Recall that

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

If $\alpha=2x$ and $\beta=\dfrac\pi4$ , we have

$\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}$

so in the equations above, we can write

$\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1$

Then in the first case,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi$

(where $n$ is any integer)

$\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi$

$\implies x=n\pi\text{ or }\dfrac\pi4+n\pi$

and in the second,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi$

$\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi$

$\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi$

Then the solutions that fall in the interval $[0,2\pi)$ are

$x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4$

5 0

3 years ago

Read 2 more answers

Prove this identity sin(2A)=2sinAcosA.

34kurt

The solution for proving the identity is as follows:

sin(2A) = sin(A + A)
As sin(a + b) = sinacosb + sinbcosa,
<span>sin(A + A) = sinAcosA + sinAcosA
</span>
<span>Therefore, sin(2A) = 2sinAcosA

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your inquiries and questions soon. Have a nice day ahead!
</span>

7 0

3 years ago

Tim had three toys and Sheila have four toys how many did they have together ?

Ainat [17]

Answer:

7 toys

Step-by-step explanation:

3+4=7

5 0

3 years ago

If the volume of a cube is 729cm^3, what is the surfface area.<br><br> Thanks!!

bezimeni [28]

Answer:

486cm^2

Step-by-step explanation:

cube volume: 729cm^3

cube faces count: 6

How you calculate square area:

s(cm) * s(cm) or just s^2(cm^2)

s = side length

If you want to find out the side length of a cube by its volume. Then simply just remove the ^3 by taking the cubic root (also written ^(1/3))

729^(1/3) = 9

then just calculate the area like i showed earlier:

(9cm)^2 = 81cm^2

But that is only one side of a cube's 6 sides, so multiply by 6:

81cm^2 * 6 = 486cm^2

Hope i could help :D

Dont be scared to ask me questions..

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3 years ago

I hope that we pass this semester god bless :)) calming it

Umnica [9.8K]

Answer:

me too

Step-by-step explanation:

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3 years ago