A circle is 360 degrees so 360 divided by 20=18 so 20 degrees is one 18th of a circle
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
19. The formula for finding the volume of a sphere is 4/3πr^3
The problem says the radius is 9.25 cm.
Just plug in the numbers and solve:
4/3(3.14)(9.25^3)
9.25^3 = ~791.45
4/3(3.14)(791.45)
4/3 • 3.14 = ~4.19
4.19 • 791.45 = 3316.1755
It says to round to 2 decimal places so the answer to this question would be 3316.18.
That means 3316.18 is the volume of the sphere.
20. It's always best to change words into an equation.
-16 - w
w = -23
Plug in the number to the variable:
-16 - (-23)
Double negatives (a negative being subtracted) turn into a plus (positive being added).
-16 + 23 = 7
So the answer is 7.
25. Complementary angles are angles with a sum of 90º.
If angle A is 27º, just subtract that from 90º to get the measure of angle B.
90 - 27 = 63
So angle B is 63º, and the answer is A.
<span>(a) the slope of curve is calculated from the derivative of the curve expression y=5/x. In this problem, the slope m=-5/(a^2).
(b) x=1, y=5，and m=-5, the tangent line is y-5=-5*(x-1).
x=4, y=5/4, and m=-5/16, the tangent line is y-5/4=-5/16*(x-4)</span>
No because In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y,
