Answer:
The coach can do this in 3,003 ways
Step-by-step explanation:
Here, the coach needs to select a team of 5 from a total of 15 players
Mathematically, the number of ways this can be done is simply 15 C5 ways
Generally, if we are to select a number of r items from n items, this can be done in nCr ways = n!/(n-r)!r!
Applying this to the situation on ground, we have;
15C5 = 15!/(15-5)!5! = 15!/10!5! = 3,003 ways
Answer:
x=3
Step-by-step explanation:
using the pythagorean theorem, c^2=a^2+b^2
5^2=x^2+4^2, x=3
2p² - p - 10 = 0
2 = a
- 1 = b
- 10 = c
To factor, find two numbers that multiply to equal a·c and also that have a sum of b
2p² + 4p - 5p - 10 = 0
2p (p + 2) - 5 (p + 2) = 0
<h3>Answer: ( 2p - 5 ) ( p + 2 ) = 0</h3>
In order to use the elimination method<span>, you have to create variables that have the same coefficient—then you </span>can eliminate<span> them. Multiply the top </span>equation<span> by 5. Next add the </span>equations<span>, and </span>solve<span> for y. Substitute y = 10 into one of the original </span>equations<span> to find x.</span>
The length of an arc length can be calculated using the formula:
s = ra
where s is the lenght of the arc
and r is the radius of the circle
a is the central angle in radians
first converts degrees to radians
a = 60 ( pi / 180)
a = pi /3 =1.05
s = 21(1.05)
s = 22 mm is the length of the arc