Answer:
C) I and III only
Step-by-step explanation:
Let full pool is denoted by O
Days Hose x takes to fill pool O = a
Pool filled in one day x = O/a
Days Hose y takes to fill pool O = b
Pool filled in one day y = O/b
Days Hose z takes to fill pool O = c
Pool filled in one day z = O/c
It is given that
a>b>c

Days if if x+y+z fill the pool together = d
1 day if x+y+z fill the pool together 
I) d < c
d are days when hose x, y, z are used together where as c are days when only z is used so number of days when three hoses are used together must be less than c when only z hose is used. So d < c
III) 
Using (1)

Similarly

So,

Use the Pythagorean theorem:
x^2 + 6^2 = √117 ^2
x^2 + 36 = √117 ^2
Simplify"
x^2 + 36 = 117
Subtract 36 from both sides:
x^2 = 81
Square both sides:
X = 9
Answer: 160lbs
Step-by-step explanation:
Answer: Question #1 The height of the tree is about 18 feet.
To solve this problem, you have to write a proportion using the similar triangles that are drawn. The height of the tree matches the height of the person and the shadows match.
Therefore, we can write and solve the following equation:
x/15 = 5.5/4.5
82.5 = 4.5x
x = 18.33