Answer:
Width = 40 meters
Length = 167 meters
Step-by-step explanation:
Let
Width of the pool = x meters
Then
Length of the pool = 4x + 7 meters
and
Perimeter
meters
Hence,

Answer:
1. 6 cookies 2. 5/12 of the pan is left
Step-by-step explanation:
42/2=21
21(2/3)= 14
14-8=6
6 cookies were left
1/4+1/3= 3/12+4/12=7/12
5/12 of the pan is left
Answer:
Power generated = 4.315 kW
Step-by-step explanation:
Given,
- speed of wind when enters into the turbine, V = 12 m/s
- speed of wind when exits from the turbine, U = 9 m/s
- mass flow rate of the wind, m = 137 kg/s
According to the law of conservation of energy
Energy generated = change in kinetic energy
Since, the air is exiting at same elevation. So, we will consider only kinetic energy.
Energy generated in one second will be given by,


=4315.5 J
= 4.315 kJ
So, energy is generated in one second = 4.315 kJ
Power generated can be given by,

And the energy is generated is already in per second so power generated will be 4.315 kW.
Answer:
The positions can be filled in 150 ways.
Step-by-step explanation:
The order in which the people are chosen is not important. For example, A, B, C, D is the same outcome as B, A, C, D. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In how many ways can the positions be filled if 2 women and 2 men are hired?
2 women from a set of 6.
2 men from a set of 5.
So

The positions can be filled in 150 ways.