1/4 can also be written as 5/20. 15:5 is 3. The answer is 3
Since the triangle is equilateral, all its angles are equal to 60°
AO is the bisector⇒∠OAD = 30°
AO is the hypotenuse, ∠OAD = 30°⇒
OD=5*2=10m
By the Pythagorean theorem
Answer: A) m²
P.S. Hello from Russia and sorry for my bad english :^)
Number of ways to select 3 books from 13 books for adoption is 286 .
<u>Step-by-step explanation:</u>
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
- Repetition is Allowed: such as the lock above. It could be "333".
- No Repetition: for example the first three people in a running race. You can't be first and second.
Formula is given by:
, where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.
⇒
⇒
⇒
⇒
⇒
∴ Number of ways to select 3 books from 13 books for adoption is 286 .
The length of the diagonal line is 13.6 inches.
Step-by-step explanation:
Length of the paper = 11 inches
Width of the paper = 8 inches
Diagonal (d) can be calculated by using the pythogoras theorem.
d = √(121 + 64)
d = √(185)
d = 13.6 inches
The length of the diagonal line is 13.6 inches.
$-12
In rolling a single die, there are 6 possible outcomes. To win, there are two possible outcome making the probability equal to 2/6. Moreover to loss, there are 4 possible outcomes, making the probability equal to 4/6.Calculating the cost,
(2/6)($36) - (4/6)($36) = -12
Thus, the expected value of the game is $-12.