Answer:
30%
Step-by-step explanation:
uestions completed in first week=140
questions completed in second week=182
increased number=182-140=42
percentage increase=increase number / original number x 100%
=>(42/140) x 100%
=>(3/10) x 100%
3 x 10=30%
therefore increase percent =30%
Answer:
The width of the smaller rectangle is 5 centimeters
Step-by-step explanation:
step 1
<em>Find the scale factor</em>
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of the smaller rectangle
y ----> the area of the larger rectangle
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![x=16\ cm^2\\y=100\ cm^2](https://tex.z-dn.net/?f=x%3D16%5C%20cm%5E2%5C%5Cy%3D100%5C%20cm%5E2)
substitute
![z^{2}=\frac{16}{100}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7B16%7D%7B100%7D)
square root both sides
![z=\frac{4}{10}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B4%7D%7B10%7D)
step 2
Find the width of the larger rectangle
we know that the area is equal to
![A=LW](https://tex.z-dn.net/?f=A%3DLW)
we have
![A=100\ cm^2\\L=8\ cm](https://tex.z-dn.net/?f=A%3D100%5C%20cm%5E2%5C%5CL%3D8%5C%20cm)
substitute
![100=8W\\W=12.5\ cm](https://tex.z-dn.net/?f=100%3D8W%5C%5CW%3D12.5%5C%20cm)
step 3
Find the width of the smaller rectangle
To find out the width of the smaller rectangle, multiply the width of the larger rectangle by the scale factor
so
![12.5(\frac{4}{10})=5\ cm](https://tex.z-dn.net/?f=12.5%28%5Cfrac%7B4%7D%7B10%7D%29%3D5%5C%20cm)
Answer:
-10
Step-by-step explanation:
Hope this helps you!
Answer:
its 8,9,13,23 or b
Step-by-step explanation:
toke the test