Answer:
43,758 different swimmer squad
Step-by-step explanation:
Given;
Total Number of athletes n = 18
Number of athletes needed to be selected r = 8
For this case, the coach need to select 8 players from a total of 18 athletes with no particular order. So, this is a combination case since the order of selection is not relevant.
The number of different swimmer squads the coach could select is;
S = nCr
nCr = n!/(r!×(n-r)!)
Substituting the values of n and r;
S = 18C8
S = 18!÷(8! × (18-8)!)
S = 18! ÷ (8!×10!)
S = 43,758
Therefore, he can select 43,758 possible different squads
Answer:
30 m/s
Step-by-step explanation:
Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.
The distance between the cars can be found with Pythagorean theorem:
d² = x² + y²
Taking derivative with respect to time:
2d dd/dt = 2x dx/dt + 2y dy/dt
d dd/dt = x dx/dt + y dy/dt
We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.
To find dd/dt, we still need to find d.
d² = x² + y²
d² = (200)² + (150)²
d = 250
Plugging everything in:
250 dd/dt = (200) (-25) + (150) (-50/3)
dd/dt = -30
The cars are approaching each other at a rate of 30 m/s at that instant.
Answer:
175 per day
Step-by-step explanation:
Answer: Option (B) is the correct answer.
Step-by-step explanation:
A point at which three altitudes of a triangle meet is known as orthocenter.
Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.
When all the three medians of a triangle intersect each other then the point is known as centroid.
Circumcenter is a point where perpendicular bisectors on each side of a triangle bisect and this point is equidistant from all the vertices.
