See my steps answer is -12
Answer:
The best estimate of the area of the larger figure is ![693\ cm^{2}](https://tex.z-dn.net/?f=693%5C%20cm%5E%7B2%7D)
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 corresponding sides is equal to the scale factor
Let
z----> the scale factor
x-----> the corresponding side of the larger figure
y-----> the corresponding side of the smaller figure
so
![z=\frac{x}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![x=12\ cm](https://tex.z-dn.net/?f=x%3D12%5C%20cm)
![y=9\ cm](https://tex.z-dn.net/?f=y%3D9%5C%20cm)
substitute
-----> the scale factor
step 2
<em>Find the area of the larger figure</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 larger figure
y-----> the area of the smaller figure
so
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{4}{3}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B4%7D%7B3%7D)
![y=390\ cm^{2}](https://tex.z-dn.net/?f=y%3D390%5C%20cm%5E%7B2%7D)
substitute and solve for x
![x=390*16/9=693.33\ cm^{2}](https://tex.z-dn.net/?f=x%3D390%2A16%2F9%3D693.33%5C%20cm%5E%7B2%7D)
Answer:
The perimeter of the given semi-circle in terms of
is
cm
Step-by-step explanation:
Given that the diameter of the semi-circle is 18cm
That is d=18cm
Therefore radius ![r=\frac{d}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bd%7D%7B2%7D)
![r=\frac{18}{2}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B18%7D%7B2%7D)
Therefore radius r=9cm
To find the perimeter of the semi-circle :
perimeter of the semi-circle![P=\pi r](https://tex.z-dn.net/?f=P%3D%5Cpi%20r)
cm (where r=9 cm )
cm
The perimeter of the given semi-circle in terms of
is
cm
2,36 ------- 100%
x --------- 8%
----------------------
x = 2,36*8/100 = 0,18
hope helped