Answer:
sorry man i dont know
Step-by-step explanation:
Answer:
The answer is b
Step-by-step explanation:
Answer:
![790\pi\,\,mm^2](https://tex.z-dn.net/?f=790%5Cpi%5C%2C%5C%2Cmm%5E2)
Step-by-step explanation:
Given: The diameter of the cylindrical base of the pencil is 10 mm and the height of the cylinder is 70 mm, while the height of the cone is 12 mm
To find: surface area of the pencil
Solution:
Radius of the cone = Radius of the cylinder (r) = diameter/2 = ![\frac{10}{2}=5\,\,mm](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B2%7D%3D5%5C%2C%5C%2Cmm)
Height of the cylinder (H) = 70 mm
Height of the cone (h) = 12 mm
Slant height of the cone (l) = ![\sqrt{r^2+h^2}=\sqrt{5^2+(12)^2}=\sqrt{25+144}=\sqrt{169}=13\,\,mm](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%2Bh%5E2%7D%3D%5Csqrt%7B5%5E2%2B%2812%29%5E2%7D%3D%5Csqrt%7B25%2B144%7D%3D%5Csqrt%7B169%7D%3D13%5C%2C%5C%2Cmm)
Curved surface area of cone = ![\pi rl=\pi (5)(13)=65\,\pi \,\,mm^2](https://tex.z-dn.net/?f=%5Cpi%20rl%3D%5Cpi%20%285%29%2813%29%3D65%5C%2C%5Cpi%20%5C%2C%5C%2Cmm%5E2)
Surface are of cylinder = curved surface area of cylinder + base area of cylinder
![=2\pi rH+\pi r^2\\=\pi r(2H+r)\\=\pi(5)\left [ 2(70)+5 \right ]\\=5 \pi\left ( 140+5 \right )\\=725\pi\,\,mm^2](https://tex.z-dn.net/?f=%3D2%5Cpi%20rH%2B%5Cpi%20r%5E2%5C%5C%3D%5Cpi%20r%282H%2Br%29%5C%5C%3D%5Cpi%285%29%5Cleft%20%5B%202%2870%29%2B5%20%5Cright%20%5D%5C%5C%3D5%20%5Cpi%5Cleft%20%28%20140%2B5%20%5Cright%20%29%5C%5C%3D725%5Cpi%5C%2C%5C%2Cmm%5E2)
So,
surface area of the pencil = Curved surface area of cone + Surface are of cylinder = ![65\pi+725\pi=790\pi\,\,mm^2](https://tex.z-dn.net/?f=65%5Cpi%2B725%5Cpi%3D790%5Cpi%5C%2C%5C%2Cmm%5E2)
Answer:
Step-by-step explanation:
It says Renita takes minutes to ride half a mile.
She leaves 30 minutes before school.
Total distance is
![2\frac{1}{2} = \frac{1}{2}+ \frac{1}{2} +\frac{1}{2} +\frac{1}{2} +\frac{1}{2}\\](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2B%20%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%5C%5C)
In
![2\frac{1}{2} \ there \ are \ 5 \ times \ \frac{1}{2} \ mile .\\](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D%20%5C%20there%20%5C%20are%20%5C%205%20%5C%20times%20%20%5C%20%20%5Cfrac%7B1%7D%7B2%7D%20%5C%20mile%20.%5C%5C)
Therefore total time to reach school will be 5 x 5 = 25minutes.
Since she leaves 30minutes before school. She will reach 5minutes early before school.
Answer:
7 months
Step-by-step explanation:$90 / $18 = 5 months + 2 months free = 7 months