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marishachu [46]
4 years ago
14

Can someone help me with this question

Mathematics
2 answers:
NemiM [27]4 years ago
6 0

Answer:

360 inches or 30 feet

Step-by-step explanation:

A scale factor is the value which multiplied by a number scales the number larger or smaller. The blueprint has a wall height of 8 in. Using the scale factor 45, the actual height is 8*45 = 360 inches.

360 inches/ 12 inches  is 30 feet.

trasher [3.6K]4 years ago
5 0

Answer:

30 ft

Step-by-step explanation:

Multiply the scale factor by the wall given.

45 X 8 in = 360 in

Convert inches into feet. (12 inches = 1 foot)

360/12 = 30 feet

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4 years ago
When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F
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Let x be the unknown number. So, three times that number means 3x, and the square of the number is x^2

We have to sum 528 and three times the number, so we have 528+3x

Then, we have to subtract this number from x^2, so we have

x^2-(3x+528)

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x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0

This is a quadratic equation, i.e. an equation like ax^2+bx+c=0. These equation can be solved - assuming they have a solution - with the following formula

x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

If you plug the values from your equation, you have

x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}

So, the two solutions would be

x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27

x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24

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