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Novay_Z [31]
3 years ago
12

The length of a rectangle is 8m less than three times the width, and the area of the rectangle is 35m^2. Find the dimensions of

the rectangle.
Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

W = 5     L = 7

Step-by-step explanation:

L = 3W - 8

A = 35

I plugged in 5 for W and got 7 as L.

L x W or 7 x 5 = 35

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8 0
3 years ago
3 3/5 x (-8 1/3) = <br><br> Please help and quick
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GCSE 995381
nikdorinn [45]

Answer:

2.9 cm^2

Step-by-step explanation:

Given,

Angle of sector = 30°

Radius of circle, r = 8 cm

Area of the shaded region, A =?

The diagram is attached below.

Now,

Area of shaded region = Area of sector - Area of triangle

Area of triangle = \frac{1}{2}\times base \times height

We know that,

\sin \theta = \dfrac{P}{H}

\sin 30^\circ= \dfrac{P}{8}

P = \dfrac{8}{2}

P = 4\ cm

And

\cos \theta =\dfrac{B}{H}

\cos 30^\circ = \dfrac{B}{8}

B = \dfrac{8\times \sqrt{3}}{2}

B = 4\sqrt 3

Area of sector = \dfrac{\theta}{360^\circ}\times \pi r^2

Area of sector =  \dfrac{30^\circ}{360^\circ}\times \pi \times 8^2

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Area of shaded region = 16.75 - 13.85

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2 years ago
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