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Kobotan [32]
3 years ago
5

Greensboro gets 12 times as many inches of snow as Redville gets. Altoghter, the two towns gets 65 inches of snow.How many inche

s of snow does redville get?
Mathematics
1 answer:
Tomtit [17]3 years ago
6 0
Inches of snow Greensboro gets = g
Inches of snow Redville gets = r

\left \{ {{g=12r} \atop {g+r=65}} \right.  \\  \\ (12r)+r=65 \\ 13r=65 \\ r=5

Redville gets 5 inches of snow.
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Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

\sin \theta=\dfrac{Perpendicular}{Hypotenuse}

\sin 30=\dfrac{12}{Hypotenuse}

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So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

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\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}

Base=12\sqrt{3}

Length of the rectangle is 12 and width of the rectangle is 12\sqrt{3}. So, the area of the rectangle is:

Area=length \times width

Area=12 \times 12\sqrt{3}

Area=144\sqrt{3}

So, the area of the rectangle is 144\sqrt{3} sq. units.

(c)

Perimeter of the rectangle is:

P=2(length+width)

P=2(12+12\sqrt{3})

P=24+24\sqrt{3}

P\approx 65.57

Therefore, the perimeter of the rectangle is about 65.57 units.

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Step-by-step explanation:

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