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Vikentia [17]
3 years ago
6

Elena paints the back of a aquarium it has a height of 1 3/4 feet the painted area is 5 5/6 what is the length

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

3 1/3 feets

Step-by-step explanation:

Given that:

Height of aquarium = 1 3/4 feets

Area of aquarium = 5 5/6 ft²

The length of aquarium = x

Aquarium is shaped in the form of a rectangle :

Area of a rectangle = Length * width

5 5/6 = x * 1 3/4

35/6 = 7x/4

Cross multiply :

7x * 6 = 35 * 4

42x = 140

x = 140 / 42

x = 3 14/42

x = 3 1/3 feets

Hence, Length of the back of aquarium is 3 1/3 feets

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Let the shorter diagonal be x, then
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x = sqrt(94.96) = 9.7 cm

The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.

Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
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