Answers:
A) 
C) 
Step-by-step explanation:
<u>Part 1:</u>
We have the followig equation:
Calculating the least common multiple (l.c.m) in the denominator in the left side of the equation, being l.c.m=15:
Solving for the left part of the equation:
Operating with cross product:
Applying the distributive property:
Isolating 
:
Dividing numerator and denominator by 11:
Hence, the correct option is A
<u>Part 2:</u>
We have the followig equation:
Operating with cross product:
Isolating 
:
Hence, the correct option is C
(see attached graphic)
1.2 miles = 6,336 feet
IF the length is measured along the ground then:
tan (angle) = opp / adjacent
tan (angle) = 3,200 / 6,336
<span>tan (angle) = 0.505050505</span>
angle = 26.796 Degrees
IF the length is measured from the ground to the top then:
sin (angle) = opp / hypotenuse
<span>sin (angle) = 0.505050505</span>
angle = 30.335 Degrees
So, because the bike was 10% off, we know that the bike is now at 90% of its original value (100%-10% = 90%)
So to find the new value, we multiply the price by 90%:
0.9*206 = 185.4
The bike will cost Manuel $185.4
