Answer:
t = 1.5 hours
Step-by-step explanation:
Given that,
A man walk for 2hr at 6 km/h.
He then cycled for a certain time at 16 km/h.
He travelled 36 km all together.
We need to find for how many hours did he cycle.
Distance walked in 2 hours = 2×6 = 12 km
Distance he cycled = 36-12 = 24 km
Let he cycled for t hours. So,

So, he cycles for 1.5 hours.
For this case, what we must do is solve the following system of equations:
tan (50) = h / x
tan (40) = h / (x + 50)
Solving the system we have:
(x + 50) * tan (40) = h
(x) * tan (50) = h
Matching:
(x + 50) * tan (40) = (x) * tan (50)
Rewriting:
x (tan (50) - tan (40)) = 50 * tan (40)
x = 50 * tan (40) / (tan (50) - tan (40))
x = 118.9692621
Substituting:
h = (x) * tan (50)
h = (118.9692621) * tan (50)
h = 141.7820455
Answer:
The height of the building is:
h = 141.7820455 ft
The domain is (-inf,+inf) and the range is (-inf,8]
Answer:
y =-2x+7
Step-by-step explanation:
Hello : let A(2,3) B(1,5)
the slope is : (YB - YA)/(XB -XA)
(5-3)/(1-2) = 2/-1 =-2
an equation is : y=ax+b a is a slope
y = -2x +b
the line through point (2,3) : 3 = (-2)(2)+b
b = 7
the equation is : y =-2x+7