So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be simplified to 45 or two decimal points 45.167. Hope that Helped! :)
Answer:
The common difference of the progression is 3.
Step-by-step explanation:
Given:
First term of the AP = (a) = -8
Ratio of 7th and 9th term = 5:8
So,
General term of an AP, Tn= a+(n-1)d
Where 'd' is the common difference.
equation...(i)
equation...(ii)
According to the question.
⇒
...cross-multiplying the terms.
⇒ 
⇒
⇒
...subtracting 40d and adding 64 both sides.
⇒ 
⇒
...dividing both sides with 3.
So the common difference of the progression is 'd' = 3.
Answer:
Four/4
Step-by-step explanation:
Add both numbers together.
2+2
4
Answer:
70 degrees.
Step-by-step explanation:
They are vertical angles, and vertical angles are always congruent.
4 2/5 = 22/5
3 1/7 = 22/7
22/5 x 7/22 = 154/110 = 7/5
The answer is 1 2/5