Answer:
The answer is "0.00088"
Step-by-step explanation:
Many ways of selecting r articles of n,
P(wins the player) =
Answer:
An inverse trigonometric function is a function in which you can input a number and get/output an angle (usually in radians). It is the inverse function of the basic trigonometric functions.
Step-by-step explanation:
Trigonometric functions are derived from ratios of certain sides of a right triangle in reference to an angle. The graph of which is a wave, with amplitude in the y-axis and angle in the x-axis. We will first define the sine function written as:
sin(θ)=oppositesidehypotenuse
As we can see, the sine function, together with all the other trigonometric functions, relates an angle to the ratio of an opposite side and the hypotenuse of right triangle. The input here is an angle, and the output is a ratio. Therefore, the inverse process to this is actually just a reverse process.
Let
y
=
s
i
n
(
θ
)
y=sin(θ)
Then inverse trigonometric function outputs an angle. However, we can set y to its original value via transitivity:
s
i
n
−
1
(
y
)
=
θ
s
i
n
−
1
(
o
p
p
o
s
i
t
e
s
i
d
e
h
y
p
o
t
e
n
u
s
e
)
=
θ
sin−1(y)=θsin−1(oppositesidehypotenuse)=θ
Thus we see, that the input to an inverse trigonometric function is a unitless ratio of two sides of a representative right triangle.
Answer:
40 cups of sugar
Step-by-step explanation:
10 cups = 3 eggs
x cups = 12 eggs( a dozen )
12*10 =3x
120=3x
120/3=40
Answer:
B, the square root of 3
Step-by-step explanation:
Time taken by Diana to finish her project is 5 1/3 hours
Gabe took 1 1/4 times as long as Diana, therefore Gabes time will be:
1 1/4 × 5 1/3
=5/4 × 16/3
=20/3
=6 2/3 hours
Paula took 3/4 times as long as Diana, therefore time taken by Paula will be:
3/4 × 16/3
=4 hours