This is a typical work problem in algebra. The approach to this is using the equation: Rt = 1, where R is the rate per person working, t is the amount of time worked by an individual. All their rates must equal to 1. The solution is as follows:
12/x + 15/x = 1
Solving for x,
x = 27 hours
So, if they work together, they can finish the work in 27 hours.
By definition, the volume of a quarter of a sphere is given by:
Where,
r: sphere radius
Substituting values we have:
Making the corresponding calculation we have:
Answer:
The volume of the quarter-sphere shaped tank is:
Answer:
Step-by-step explanation:
The ratio of the linear dimensions (perimeter) is the square root of the ratio of area dimensions, so the larger : smaller ratio is ...
√(72/50) = √1.44 = 1.2
The sum of ratio units is 1.2 + 1 = 2.2, so each ratio unit stands for ...
(226 dm)/2.2 = 102 8/11 dm . . . . . the perimeter of the smaller triangle
Then the perimeter of the larger triangle is ...
1.2 × 102 8/11 dm = 123 3/11 dm . . . . the perimeter of the larger triangle
Step-by-step explanation:
x+5x=180
6x=180
x=30
and 5x=150
