Answer:
14.24 foot far is the mirror from the base of the statue.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the statement:
See the diagram as shown below:
Height of a boy = 5.9 foot tall
Height of a statue = 12 foot.
Distance of a boy from the mirror = 7 feet.
Let x be the distance of the mirror from the base of the statue.
then by definition of proportion we have;
![\frac{\text{Height of a boy}}{\text{Distance of a boy from the mirror}}= \frac{\text{Height of a statues}}{\text{Distance of mirror from the base of the statue} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BHeight%20of%20a%20boy%7D%7D%7B%5Ctext%7BDistance%20of%20a%20boy%20from%20the%20mirror%7D%7D%3D%20%5Cfrac%7B%5Ctext%7BHeight%20of%20a%20statues%7D%7D%7B%5Ctext%7BDistance%20of%20mirror%20from%20the%20base%20of%20the%20statue%7D%20%7D)
Substitute the given values we have;
![\frac{5.9}{7} =\frac{12}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B5.9%7D%7B7%7D%20%3D%5Cfrac%7B12%7D%7Bx%7D)
By cross multiply we have;
![5.9x = 84](https://tex.z-dn.net/?f=5.9x%20%3D%2084)
Divide both sides by 5.9 we have;
x = 14.24 ft
Therefore, 14.24 foot far is the mirror from the base of the statue.
Pick any number that at bigger than 2.5 like 3 and 3.5
Answer:
So you will have 2.48$ Left I didnt include tax since you didnt include a percentage amount but with 2.48$ you will have have enough for 11 pencils
Step-by-step explanation:
30$ Deduct
12.52$ Binder
17.48
Deduct 15$ Notebook
2.48 Divided By 0.22
Equels 11 Pencils
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is ![2\ cm](https://tex.z-dn.net/?f=2%5C%20cm)
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to
![V=\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7D%20h)
where
r is the radius of the circular base
h is the height of the cylinder
we have
![V=32\pi\ cm^3](https://tex.z-dn.net/?f=V%3D32%5Cpi%5C%20cm%5E3)
![h=8\ cm](https://tex.z-dn.net/?f=h%3D8%5C%20cm)
substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have
![32\pi=\pi r^{2}(8)](https://tex.z-dn.net/?f=32%5Cpi%3D%5Cpi%20r%5E%7B2%7D%288%29)
![32\pi=8\pi r^{2}](https://tex.z-dn.net/?f=32%5Cpi%3D8%5Cpi%20r%5E%7B2%7D)
Simplify
Divide by 8π both sides
![4=r^{2}](https://tex.z-dn.net/?f=4%3Dr%5E%7B2%7D)
square root both sides
![r=2\ cm](https://tex.z-dn.net/?f=r%3D2%5C%20cm)