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Anna007 [38]
3 years ago
14

Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b

e 10 feet more than its width.
What should the dimensions of the deck be?
Mathematics
1 answer:
joja [24]3 years ago
4 0
Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
x²+10x-144 = 0

Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8
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The triangle <span>pyramid</span>  is made up of 4 triangles.

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Formula:
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Area of triangle = 1/2 x base x height

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Area of the bottom triangle:
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Area = 1/2 x 9 x 7.8
Area = 35.1 yd²

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Area of the 3 side triangles:
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Area = 3 [ 1/2 x 9 x 10 ]
Area = 135 yd²

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Total Area:
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Total Area = 135 + 35.1 
Total Area = 170.1 yd²

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Answer: Surface Area = 170.1 yd².
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4 0
3 years ago
47 1/2 of what number is 190
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2 students have both their nose and ears pierced
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LuckyWell [14K]
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we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

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Now we can add and subtract 25 to get:

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If you want to learn more about circles:

brainly.com/question/1559324

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