Answer:
145 degrees
Step-by-step explanation:
180-35 = 145
The correct answer is 105.8
Answer: 
Step-by-step explanation:
The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.
In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.
4^2 +
= C^2
16 + 50 = c^2
66 = c^2
c =
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.
Answer:
1
Step-by-step explanation: