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wolverine [178]
3 years ago
15

if one inch represents 12 feet ,what dimentions whould you use to make a scale drawinng of a building 75 feet by 80 feet?

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

1 inch to 12 ft = x inches to 75 ft

1 / 12 = x / 75

cross multiply

12x = 75

x = 75/12

x = 6.25 or 6 1/4 inches

1 inch to 12 ft = x inches to 80 ft

1 / 12 = x / 80

cross multiply

12x = 80

x = 80/12

x = 6.67 or 6 2/3 inches

so the dimensions are : 6 1/4 inches by 6 2/3 inches <====

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Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of
fomenos

Answer:

The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is <u>169</u>

Step-by-step explanation:

Given :  the difference of the squares of the numbers is 5 and the product of the numbers is 6.

We have to find the sum of the squares of two numbers whose difference and product is given using given identity,

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

Since, given the difference of the squares of the numbers is 5 that is (x^2-y^2)^2=5

And the product of the numbers is 6 that is xy=6

Using identity, we have,

(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2

Substitute, we have,

(x^2+y^2)^2=(5)^2+(2(6))^2

Simplify, we have,

(x^2+y^2)^2=25+144

(x^2+y^2)^2=169

Thus, the sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is 169

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