Answer:
(1,3) ;(2, 2) ;(2, 3);(3, 1) ;(3, 2) ; (3,3)
2/3
Step-by-step explanation:
____ 1 ___ 2 ____ 3
1 ___2 ___ 3 ____ 4
|
2___3 ___ 4 _____5
|
3___4 ____5 _____6
Winning outcomes : (1,3) ;(2, 2) ;(2, 3);(3, 1) ;(3, 2) ; (3,3)
Probability that a player wins :
Required outcome / Total possible outcomes
Number of winning Outcomes = 6
Total possible outcomes = 9
Probability that a player wins = 6 / 9 = 2/3
Answer: $48
Step-by-step explanation:
12x4=48
Answer:
a ≈ 4.9
Step-by-step explanation:
using the Cosine Rule in Δ ABC
a² = b² + c² - (2bc cosA )
= 16² + 18² - (2 × 16 × 18 × cos15° )
= 256 + 324 - (576cos15° )
= 580 - 576cos15
= 23.6267 ( take square root of both sides )
a = ![\sqrt{23.6267}](https://tex.z-dn.net/?f=%5Csqrt%7B23.6267%7D)
≈ 4.9 ( to the nearest tenth )
Answer:
75.4
Step-by-step explanation:
circumference = 2 x pi x r
2x3.14x12 = 75.4
Answer: see below
Step-by-step explanation:
30 - 60 - 90 triangles have angles in the triangle measuring 30, 60, and 90 degrees. A 30 - 60 - 90 triangle also has special side ratios according to a side's location in the triangle.
The side across from the 30 degree angle is represented by x.
The side across from the 60 degree angle is represented by x
.
The side across from the 90 degree angle is represented by 2x.
45 - 45 - 90 triangles have angles in the triangle measuring 45, 45, and 90 degrees. A 45 - 45 - 90 triangle has special side ratios similar to the 30 - 60 - 90 triangle.
The side across from either of the 45 degree angles is represented by x.
The side across from the 90 degree angle is represented by x
.
These ratios can be used to find missing sides. If you know that a triangle is one of these special triangles and you also know one of its side lengths, you can plug the known length in for x in the proper place.
EX: you have a 30 - 60 - 90 triangle with a side length of 2 across from the 30 degree angle. You then know that the side across from 60 is 2
and the side across from 90 is 4.