In dealing with these problems, the first step to do is illustrate it. When you do, you would see a right triangle with a 55° angle between the hypotenuse and the vertical leg. Using pythagorean relations:
sin 55 = 50/x, where x is the unknown
x =50/sin55
x = 61.04 feet
Answer:
Define F as fathers age and S as sons age right now.
Then now they are
(1) 3S = F
and six years ago they were
(2) 5*(S-6) = F-6
calculate 5*(S-6)
5S - 30 = F-6
Subtract left and right side by -F
Add 30 to left and right side
5S - F = 24
Put (2) 3S = F into the equation above
5S - 3S = 24
2S = 24
S = 12
insert result in (2) 3S = F
3*12 = F
36 = F
Step-by-step explanation:
So the son is 12 years, and the father is 36 years.
Factored form: 2(x^2 + 4x + 3)
Answer: Part A : 4x-6 < 66
Part B : 15
Step-by-step explanation: I don't understand how to explain part A, but for part B, you subtract 66 by 6 to get 60. Then, divide 60 by 4 to get 15, the largest number you can have.