Answer:
11
Step-by-step explanation:
Answer:
26 5/12
Step-by-step explanation:
n − 2/3 = 25 3/4 Add 2/3 to both sides
n - 2/3 + 2/3 = 25 3/4 + 2/3 Combine
n = 25 3/4 + 2/3
Work with the fractions
3/4 + 2/3 The lowest common denominator is 12
(3*3)/(3*4) = 9 / 12
(2*4)/(3*4) = 8/ 12
9/12 + 8/12 = 17/12 = 1 5/12
Now you need to add 1 to 25
1 + 25 = 26
And add the fraction 5/12
The answer is 26 5/12
Answer:
Option 4 is correct. The length of PR is 6.4 units.
Step-by-step explanation:
From the given figure it is noticed that the triangle PQR and triangle MQR.
Let the length of PR be x.
Pythagoras formula

Use pythagoras formula for triangle PQM.





The value of PM is 10. The length of PR is x, so the length of MR is (10-x).
Use pythagoras formula for triangle PQR.


.....(1)
Use pythagoras formula for triangle MQR.



.... (2)
From equation (1) and (2) we get




Therefore length of PR is 6.4 units and option 4 is correct.
Answer: 250 mi
Step-by-step explanation:
Here we can think in a triangle rectangle:
The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.
And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.
Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.
Now we can apply the Pythagorean's theorem:
A^2 + B^2 = H^2
Where A and B are the cathetus, and H is the hypotenuse:
Then:
H = √(A^2 + B^2)
H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi
Then the estimated distance from Atlanta to Nashville is 250 mi