Answer:
n = 24
Step-by-step explanation:
From the question,
The formula for the sum of the term in an AP is given as
Sₙ = n(a+L)/2.................. Equation 1
Where Sₙ = sum of the nth term, n = number of term, a = first term, L = last term.
make n the subject of the equation
n = 2Sₙ/(a+L)................. Equation 2
Given: Sₙ = 420, a = 4, L = 31
Substitute these values into equation 2
n = (2×420)/(4+31)
n = (840)/35
n = 24.
Hence, n = 24
Answer:
7^12
Step-by-step explanation:
7^14
-----------
7^2
When we divide with the same base, we subtract the exponents
7^(14-2)
7^12
Step-by-step explanation:
Given,
EF = 4x + 15
FG = 39
EG = 110
so,
EF + FG = EG
after our values
4x + 15 + 39 = 110
4x + 54 = 110
4x = 110 - 54
4x = 56
x = 56/4 = 14
x = 14.
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Answer:
The volume of a cone is 1/3 of the volume of the cylinder.
Step-by-step explanation:
The formula for a cylinder is:
V = bh
For a cone:
V = 1/3(bh)
If the radius of both are the same, then the area of the base is the same. The height is also constant, therefore:
The volume of a cone is 1/3 the volume of the cylinder.
--------------------------
Example to prove:
Given, radius 2 and height 15:
Cylinder: V = bh (b = πr²)
V = 4π × 15
V = 60π u³
Cone: V = 1/3 (bh)
V = 1/3 (4π × 15)
V = 20π u³
Answer:
I do not know the answer but I need to answer a question to finish logging into brainly