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Scorpion4ik [409]
3 years ago
13

a local company uses 13 1/2 tons of paper in one week. It recycles about 1/3 of its waste. how many tons of paper does the compa

ny recycle in one week?
Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0

Answer:

4 1/2 tons of recycled paper

Step-by-step explanation:

13.5/3 = 4.5 or 4 1/2

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From a boat on the lake, the angle of elevation to the top of a cliff is 24 degrees 19'. If the base of the cliff is 2994 feet f
qaws [65]

Answer:

  1353 ft

Step-by-step explanation:

The cliff height and the distance from its base to the boat form the legs of a right triangle. The cliff height is the leg opposite the elevation angle, and the distance to the boat is the leg adjacent. Given these two legs of the triangle, the tangent relation seems useful:

  Tan = Opposite/Adjacent

We want to find the cliff height (opposite), so we can multiply this equation by Adjacent:

  Opposite = Adjacent×Tan

  cliff height = (2994 ft)(tan(24°19')) ≈ 1353 ft

The cliff is about 1353 feet high.

5 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%2864%20%7Ba%7D%5E%7B6%7D%29%20%7B%7D%5E%7B2%7D%20%20%7D%20" id="TexFormul
Natalija [7]

Answer:

8a³ and the explaination in the photo

5 0
4 years ago
Urgent! <br> Find the area created by the overlapping circles given the following information.
Stels [109]

Answer:

209.55in²

Step-by-step explanation:

Find area of sector CADE

Radius =22 in

Angle=90°

Formula to apply is ;

Ф/360 × π × r² where

Ф=angle of sector, π=3.142 and r =radius of circle

A=\frac{90}{360} *3.142*22*22=380.182in^2

Find area of triangle CAD where base length is 22 inches and height is 22 inches

Area of triangle formula is;

1/2×b×h where b is base and h is height

A=\frac{1}{2} *22*22=242in^2

Find area remaining

380.182-242=138.182in²

Find the area of sector CBDF

Radius=28in

Angle=60°

Formula to apply is ;

Ф/360 × π × r² where

Ф=angle of sector, π=3.142 and r =radius of circle

A=\frac{60}{360} *3.142*28*28=410.55in^2

Area of triangle BDC

The formula to apply is

1/2×a×a×sinФ where a=28 inches and Ф=60°

\frac{1}{2} *28*28*sin60=339.48in^2

Remaining area

410.55-339.48=71.075in²

Area created by overlapping circles

138.182+71.075=209.26in²

8 0
3 years ago
What is an equation of the line that passes through the point (8,0) and is parallel to the line x-4y=20?
Goshia [24]

Answer:

y= 1/4 (x -8)

Step-by-step explanation:

x -4y= 20

-4y= -x + 20

y= 1/4 × -5

y - y1 = m (x - x1)

y - 0 = 1/4 (x -8)

y= 1/4 (x -8)

3 0
3 years ago
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