AB^2 + BC^2 = AC^2
AB^2 + 6^2 = square root 117^2
AB^2 + 36 = 117
Now subtract 117 from both sides
AB^2 = 81
AB = square root 81 = 9

Therefore AB is 9 cms.
Answer:
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dotted line 
The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)
and
-----> inequality B
The solution of the inequality B is the shaded area above the solid line 
The solid line passes through the points (0,5) and (-2,2)
therefore
The solution of the system of inequalities is the shaded area between the dotted line and the solid line
see the attached figure
Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)
Answer:
4 : 12 : 15
Step-by-step explanation:
S : J = 1 : 3
J : P= 4 : 5
Using John's ratio to find a common ratio for all
S : J
(1 : 3)4 = 4 : 12
J : P
(4 : 5)3 = 12 : 15
Therefore our ratio is
S : J : P
4 : 12 : 15
Answer:
Chi chi canhit a golf ball three times further than Rory.
Step-by-step explanation:
To compare the distance between the two golfers, we can set up a ratio:

Since the distance that Chi chi can hit the ball is 3:1 the distance that Rory can hit the ball, than Chi chi can hit the golf ball three times further. When reducing a ratio or fraction to lowest terms, you need to divide the numerator and the denominator by the same factor. Since 72 can be evenly divided by 24, we can divide both the numerator and the denominator by 24 to get 3:1.