Answer:
220,781.25 cubic cm
Step-by-step explanation:
Given ratio of the diameters = 15:11
Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11
Given that smaller one has diameter of 55cm
thus 11x = 55cm
x = 55/11 cm = 5
Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.
we know that radius is half of diameter
Radius = diameter/2
Thus radius of larger ball = 75/2 cm = 37.5 cm.
Volume of sphere is given by
we know that ball has spherical shape
thus volume of larger ball is calculated as given below
Thus, volume of larger ball is 220,781.25 cubic cm
Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
I believe the answer would be 2D and Line.
You can think of a plane as piece of paper, and when they intersect, it is a line.
20÷10= 2
50÷10= 5
ratio is2:5
Answer:
#4 pi is irrational.
When you calculate pi (3.14...) it goes on forever and it doesn't repeat more than 1 number in a row.