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3 years ago

Nancy purchased some bed sheets for $36. They were on sale for 25% off. What was the original price of the bed sheets

Mathematics

2 answers:

Naily [24]3 years ago

7 0

The original price of the bed sheets is $48.

Nimfa-mama [501]3 years ago

5 0

100-25=75.
25% off means 75% of original price.

Set original price as x.
0.75x=36
x=48

The original price was $48.

Hope this helps!

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

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Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

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$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

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