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Vitek1552 [10]
3 years ago
9

Find the common difference of the arithmetic sequence

Mathematics
1 answer:
MArishka [77]3 years ago
6 0
This one is easy if u look at the pattern u would see it would be 4
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A cone has a volume of 50π in3 and a diameter of 10 in. Wilson states that a cylinder with the same height and diameter has the
QveST [7]

Answer:

A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ; therefore, Wilson is incorrect ⇒ last answer

Step-by-step explanation:

* Lets revise the volume of the cone and the cylinder

- The volume of cone is 1/3 πr²h, where r is its radius and h is its height

- The volume of the cylinder is πr²h

* Lets solve the problem

∵ The cone has a volume 50π inches³

∵ The diameter of the cone is 10 inches

∵ The diameter is twice the radius

∴ 2r = 10 ⇒ divide both sides by 2

∴ r = 5

∵ The rule of the volume of the cone = 1/3 πr²h

∴ 50π = 1/3 π (5²)h

∵ 50π = 1/3 (25π)h ⇒ divide both sides by 25π

∴ 2 = 1/3 h ⇒ multiply both sides by 3

∴ 6 = h

∴ The height of the cone is 6 inches

- The cylinder has the same diameter and the same height of the cone

∵ The diameter of the cone = 10 inches

∵ The height of the cone = 6 inches

∴ The diameter of the cylinder is 10 inches

∴ The height of the cylinder is 6 inches

∵ The rule of the volume of the cylinder is πr²h

∵ The radius of the cylinder = 10/2 = 5 inches

∴ The volume of the cylinder = π(5²)(6) = 150π inches³

* The volume of the cylinder not equal the volume of the cone

∴ A cylinder in which h = 6 and d = 10 has a volume of 150π in³ ;

   therefore, Wilson is incorrect.

5 0
2 years ago
Read 2 more answers
What is 11 hours and 55 minutes after 2:10
vekshin1
10+55= 05 Carry the 1 so 11+2+1= 14= 2
So your answer is 2:05. If you were doing am, it would be 205 pm and vice versa
4 0
3 years ago
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Help will give Brainly points
atroni [7]
The answer is B there you go have a nice day
5 0
3 years ago
A grocery store offers 3 different size boxes of peanuts shown below PLEASE HELP
labwork [276]
Tutu Bru ur ur rubrubru
3 0
2 years ago
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In 2015, the population of a small town in Florida is 95. If he population increases 15% every year, approximately what will the
vova2212 [387]

The population is increasing every year. so we use exponential growth function

y=a(1+r)^x

Where 'a' is the initial population

r is the rate of increase

x is the years

y is the final population

In 2015, the population of a small town in Florida is 95

Initial population a= 95

r= 15%= 0.15

x = 2023 - 2015 = 8 years

Plug in all the values and find out y

y=a(1+r)^x

y=95(1+0.15)^8

y = 290.607

The population in 2023 is 291

8 0
3 years ago
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