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marshall27 [118]
3 years ago
13

Becky drew a scale drawing of a sign before creating it. Her scale drawing had a width of 6 inches, and the actual sign has a wi

dth of 4 feet. What is the scale factor?
Mathematics
1 answer:
stealth61 [152]3 years ago
6 0

Answer:

4ft *\frac{12in}{1 ft}= 48 in

Now since we have the same units for the scale model and the real one we can find the scale factor like this:

Scale = \frac{48 in}{6in}= 8

And we can conclude that the scale factor is 1:8 and that represent that the real object is 8 times larger than the scale model

Step-by-step explanation:

For this problem we know that the scale model had a widthof 6 inches. And the actual model has a width of 4ft. First we need to convert the 4ft to inches and we got:

4ft *\frac{12in}{1 ft}= 48 in

Now since we have the same units for the scale model and the real one we can find the scale factor like this:

Scale = \frac{48 in}{6in}= 8

And we can conclude that the scale factor is 1:8 and that represent that the real object is 8 times larger than the scale model

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Answer:

\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

Step-by-step explanation:

16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}

METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}

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3 years ago
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Step-by-step explanation:

Solution to the question

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Step-by-step explanation:

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Step-by-step explanation:

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