Answer:
± 27.33 ft
Step-by-step explanation:
For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:
(-50-0)/(-40-0) = 50/40 = 1.25
Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.
Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);
-0.8 = y/x
y = -0.8x
Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:
35^2 = x^2 + y^2
y = -0.8x
35^2 = x^2 + (-0.8x)^2
1225 = (x^2 + 0.64x^2)
1225 = 1.64x^2
x^2 = 1225/1.64 = 746.95
x = sqrt(746.95) = ± 27.33 ft
The answer is D) 40% because when you add the people who were already accounted for, it comes to 150, which is 60% of 250. So the remaining attendees, children 12 and under, makes up the rest of the 250, which was 40%.
Answer: 6.56, 13.12 are the correct answers
Step-by-step explanation:
Answer:
Part 1) The volume of the cylinder is 
Part 2) The volume of the sphere is 
Part 3) Determine <em>the difference</em> of the volumes to find the leftover space
Part 4) The volume of space in the cylinder that is not being taken up by the sphere is about 
Step-by-step explanation:
step 1
Calculate the volume of the cylinder
we have
-----> the height is the diameter of the sphere
substitute the values
step 2
Calculate the volume of the sphere
we have
substitute the values
step 3
Determine the difference of the volumes to find the leftover space
therefore
The volume of space in the cylinder that is not being taken up by the sphere is about
The most reasonable description of the two populations for her conclusion is business and nursing students in the classes that were surveyed at Diablo Valley College (DVC).
Step-by-step explanation:
The question itself indicates that., For a statistics project, a community college student at Diablo Valley College (DVC) decides to investigate cheating in two popular majors at DVC in order to find out the most academic cheaters.,
also the researcher( student) convinces the professors who teach business and nursing courses at DVC to distribute a short anonymous survey in their classes. So., The most reasonable description of the two populations for her conclusion is business and nursing students in the classes that were surveyed at Diablo Valley College (DVC).
