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GalinKa [24]
2 years ago
5

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i

s equal to the radius of the cylinder. what is the volume of the cone in terms of the radius, r?
OA. V=1/3πr²h
OB. V=1/6πr²
OC. V=1/12πr³
OD. V=2πr³​
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
5 0

Answer:V=1/12pi-r^3

Step-by-step explanation:

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The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
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3 years ago
Given f(x)-x-5,solvr for x when f (x)=4
malfutka [58]

Answer:

-1-x

Step-by-step explanation:

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6 0
3 years ago
Plz need answer need for grades
Igoryamba

Answer:

15

Step-by-step explanation:

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8 0
2 years ago
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Characteristics of a unit rate
Ivan
It is a comparison of two different quantities when they are combined together...
5 0
3 years ago
Help me find the answer
elixir [45]

Answer:

y = - \frac{1}{4} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line

m = \frac{-4+3}{4-0} = - \frac{1}{4}

Note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - \frac{1}{4} x - 3 ← equation of line

4 0
3 years ago
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