Answer:
Step-by-step explanation:
Hi there,
If the boy wants 80 small action figures
that is equivalent to 40 x 7 (as 7 tickets
gives him 2 small action figures)
= 280 tickets.
The 380 tickets he has originally minus the
280 leaves 100 tickets to get 20 large action figures
(100/5)
He will have 80 small and 20 large action figures
80:20 = 4:1
Hope this helps:-)
Answer:

Step-by-step explanation:
The equation of the curve is

To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is 
Then slope would accordingly be

= ∞
For,
, 
Equation of tangent line, in the point slope form, would be 
Answer:
- tan(θ) = 5/3
- sin(θ) = 5√34/34
- sec(θ) = √34/3
Step-by-step explanation:
The hypotenuse is given by the Pythagorean theorem:
h = √(3² +5²) = √34
The trig functions are the ratios of sides:
Tan = Opposite/Adjacent
tan(θ) = 5/3
__
Sin = Opposite/Hypotenuse
sin(θ) = 5/√34 = (5/34)√34
__
Sec = Hypotenuse/Adjacent
sec(θ) = √34/3