Answer:
2.99924 in
Step-by-step explanation:
Volume of a cone
V = pi x r^2 x h/3
So to solve this problem you plug in the number we already have which is the volume and the height
103.62 = pi x r^2 x 11/3
28.26 = pi x r^2
28.26/pi = r^2
= r ≈ 2.99924
Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
The answer is C
you can buy three shirts because 11×3=33 then you use your coupon and it becomes 33-6= 27
The answer to this problem is false due to the number 2 not being used in the equation.
Answer:
To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.
Step-by-step explanation: