Answer:
Slope (m) =
ΔY
ΔX
=
1
4
= 0.25
θ =
arctan( ΔY ) + 180°
ΔX
= 194.03624346793°
ΔX = 1 – 5 = -4
ΔY = 2 – 3 = -1
Distance (d) = √ΔX2 + ΔY2 = √17 = 4.1231056256177
Equation of the line:
y = 0.25x + 1.75
or
y =
1 x
4
+ 7
4
When x=0, y = 1.75
When y=0, x = -7
Step-by-step explanation:
15 mph 5280 ft 1 hr
----------- * ------------- * ------------ = 1320 feet per min.
1 1 mile 60 min
You might want to make use of the fact that 60 mph = 88 ft/sec.
Answer:
1
Step-by-step explanation:
The lateral area of a cylinder is ...
LA = 2πrh
The total area is that added to the areas of the two circular bases:
A = 2πr² +2πrh
We want the ratio of these to be 1/2:
LA/A = (2πrh)/(2πr² +2πrh) = h/(r+h) = 1/2 . . . . cancel factors of 2πr
Multiplying by 2(r+h) gives ...
2h = r+h
h = r . . . . . subtract h
So, the desired ratio is ...
h/r = h/h = 1
The ratio between height and radius is 1.
OK so you take the 5 miles in one hour and divide that by 2 to find the half hour
x=5/2 x= 2.5 miles
To find the 2 1/2 hours you take the hour distance (5) double it and add the half hour distance
x=(5 x 2) + 2.5 x= 10 + 2.5 x=12.5 miles
