Answer:
The Choice N#1 will give more pizza for your money
Step-by-step explanation:
step 1
Find the area of one slice Choice #1
The area of the circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
----> the radius is half the diameter
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
The area of one slice is equal to
![A=(1/8)\pi r^{2}](https://tex.z-dn.net/?f=A%3D%281%2F8%29%5Cpi%20r%5E%7B2%7D)
substitute
![A=(1/8)(3.14)(11)^{2}](https://tex.z-dn.net/?f=A%3D%281%2F8%29%283.14%29%2811%29%5E%7B2%7D)
![A=47.4925\ in^{2}](https://tex.z-dn.net/?f=A%3D47.4925%5C%20in%5E%7B2%7D)
Divide the cost by the area
![4.95/47.4925=0.10\frac{\$}{in^{2}}](https://tex.z-dn.net/?f=4.95%2F47.4925%3D0.10%5Cfrac%7B%5C%24%7D%7Bin%5E%7B2%7D%7D)
step 2
Find the area of the entire personal pizza Choice # 2
The area of the circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
----> the radius is half the diameter
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![A=(3.14)(3)^{2}](https://tex.z-dn.net/?f=A%3D%283.14%29%283%29%5E%7B2%7D)
![A=28.26\ in^{2}](https://tex.z-dn.net/?f=A%3D28.26%5C%20in%5E%7B2%7D)
Divide the cost by the area
![3.75/28.26=0.13\frac{\$}{in^{2}}](https://tex.z-dn.net/?f=3.75%2F28.26%3D0.13%5Cfrac%7B%5C%24%7D%7Bin%5E%7B2%7D%7D)
therefore
The Choice N#1 will give more pizza for your money
Answer:
D
Step-by-step explanation:
The scale factor is the ratio of the corresponding sides, image to original, that is
scale factor =
=
= 2 → D
Answer:9
Step-by-step explanation:
3(5-2)
15-6
9
Answer:
b = 60.26
Step-by-step explanation:
To comfortably solve for b, we employ the SINE RULE
SINE RULE:
sinA/a = sinB/b = sinC/c
Where a, b and c are the sides (length) of the triangle
Where A, B , and C are the ANGLES of the triangle.
Comparing angles to resolve for b, we have:
sinA/ a = sinB/b
sin46.7 / 44 = sin85.3 / b
Cross Multiply to solve for b, we have:
b * sin46.7 = 44 * sin85.3
b * 0.728 = 44 * 0.997
b = 43.868 / 0.728
b = 60.258
b = 60.26