Answer:
314
Step-by-step explanation:
A=4πr^2
A= (4)(3.14)(5)^2
A=314
Answer:
JL = 62
Step-by-step explanation:
JL = JK + KL, substitute values
5x + 2 = 27 + 3x - 1
5x + 2 = 26 + 3x ( subtract 3x from both sides )
2x + 2 = 26 ( subtract 2 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Thus
JL = 5x + 2 = 5(12) + 2 = 60 + 2 = 62
Answer:
We have to use the mathematical induction to prove the statement is true for all positive integers n.
The integer is divisible by 3 for every positive integer n.
is divisible by 3.
Hence, the statement holds true for n=1.
- Let us assume that the statement holds true for n=k.
i.e. is divisible by 3.---------(2)
- Now we will prove that the statement is true for n=k+1.
i.e. is divisible by 3.
We know that:
and
Hence,
As we know that:
was divisible as by using the second statement.
Also:
is divisible by 3.
Hence, the addition:
is divisible by 3.
Hence, the statement holds true for n=k+1.
Hence by the mathematical induction it is proved that:
The integer is divisible by 3 for every positive integer n.
Answer:
the ratio is 1 ⅓ to 1; and the unit rate is: 1 ⅓
hope it helps :)