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podryga [215]
3 years ago
7

Help Please.

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0

Answer: total length of frame material is 3.2 meters

Step-by-step explanation:

The perimeter of an object or a plane shape is the distance around the object of plane shape.

Mila plans to frame a poster she bought at a concert. The total length of frame material that she needs would be the perimeter of the rectangular frame. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

The frame will be rectangular with a base of 0.65 meters and a height of 0.95 meters. Therefore,

Perimeter = 2(0.65 + 0.95)

= 3.2 meters

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We will use the sine and cosine of the sum of two angles, the sine and consine of \frac{\pi}{2}, and the relation of the tangent with the sine and cosine:

\sin (\alpha+\beta)=\sin \alpha\cdot\cos\beta + \cos\alpha\cdot\sin\beta

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\tan\alpha = \dfrac{\sin\alpha}{\cos\alpha}

If you use those identities, for \alpha=x,\ \beta=\dfrac{\pi}{2}, you get:

\sin\left(x+\dfrac{\pi}{2}\right) = \sin x\cdot\cos\dfrac{\pi}{2} + \cos x\cdot\sin\dfrac{\pi}{2} = \sin x\cdot0 + \cos x \cdot 1 = \cos x

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\tan \left(x+\dfrac{\pi}{2}\right) = \dfrac{\sin\left(x+\dfrac{\pi}{2}\right)}{\cos\left(x+\dfrac{\pi}{2}\right)} = \dfrac{\cos x}{-\sin x} = -\cot x
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I have solved the answer in the pic below, hope it helpss!!!!

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