Answer:
Step-by-step explanation:
The amount of red pepper that Harvey has is r red peppers and one fourth as many orange peppers. What this means is that the number of orange pepper that Harvey has is one fourth the number of red peppers. Since the number of red pepper is r, therefore the number of orange pepper is given as:
Number of orange pepper = 

The two-way table is attached.
There are 58 people. 31 do not play baseball; this means that 58-31=27 do play baseball.
16 people play football; this means 58-16=42 people do not play football.
20 people do not play football or baseball; 42-20 = 22 people play baseball but do not play football.
27-22=5 people play baseball and football.
16-5=11 people play football but do not play baseball.
Answer: the gun was held 4ft high i.e H = 4ft
Step-by-step explanation:
To determine how high the gun was held when it was fired H;
Before firing the t-shirt up, the gun and the t-shirt are both at the same height.
Therefore,
H = h(0) i.e h(t) at t = 0
h(t) = -16t^2 + 64t + 4
H = h(0) = -16(0)^2 + 64(0) + 4
H = 4ft
We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000 
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544

c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>