Answer:102.22
Step-by-step explanation:
Answer: 
Step-by-step explanation:
We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6
Given : Favorable outcome = 5
i.e. Number of favorable outcomes =1
We know that the formula to find the probability for each event is given by :-

Then, the probability that the six faces cube will land with the number 5 face up will be :_

Hence, the required probability = 
9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
The Pythagorean theorem applies:
(12 cm)² +b² = (17 cm)²
b² = (289 -144) cm² = 145 cm²
b = √145 cm ≈ 12.04 cm
b ≈ 12.0 cm . . . . rounded to 1 decimal place
Answer: 
Step-by-step explanation:
I assume that you need the new coordinates of the point after the rotation centered at the origin.
For this exercise it is important to remember the definition of "Rotation".
A Rotation is defined as a transformation which a figure is rotated about a fixed point known as "Center of rotation".
The figure before the transformation is called Pre-Image and the figure obtained after the transformation is called "Image".
The 180 degree rotation about the origin Rule states that:
→ 
Therefore, knowing that the given point (5,4) is rotated 180 degrees clockwise about the origin, you can conclude that its Image is:
