Answer:
1
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
The time commuting between home and work is 6mi
Probability (the engineer is at least 2mi from home) means that the engineer is either 2mi from home or more than 2mi from home
Probability (the engineer is 2mi from home) = 2/6
Probability (the engineer is more than 2mi from home) = 1 - 2/6 = (6-2)/6 = 4/6
Probability (the engineer is at least 2mi from home) = 2/6 + 4/6 = 6/6 = 1
77.5d + .14m
m = 425
.14 * 425 = 59.5
77.5d + 59.5 ≤ 230
77.5d ≤ 170.5
d ≤ 170.5/77.5
d ≤ 2.2
if they only take payment for whole days, he has 2 whole days
Answer:
22.5 cm^2
Step-by-step explanation:
Amount of paper is going to be measured in area, so we want the surface area of the cone. Since it is a cub it doesn't have a base, so we don't need to count it.
Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height. and of course radius is d/2 where d is the diameter. so let's plug it in. We know diameter is 6 and slant height is 7.5
SA = pi * r * s
SA = pi * d/2 * s
SA = pi * 6/2 * 7.5
SA = 22.5 cm^2
So you will need 22.5 square centimeters of paper.
Answer:
The first one isnt equivalent
Step-by-step explanation:
Answer:
Point of tangency is 
or 
Step-by-step explanation:
You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):
Therefore, the point of tangency is or
