Move everything to one side, it becomes negative
3x+4-4x-5
=-x-1
Answer:
5
Step-by-step explanation:
Answer:
yes i can
Step-by-step explanation:
Answer:
1/15
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
2/6 x 1/5 = 1/15
Answer:
98(1 + 2√2) in² ≈ 375 in²
Step-by-step explanation:
Assuming the shaded region is outside of the square and inside of the octagon, we can find the area by subtracting the area of the square from the area of the octagon.
The area of a regular octagon is 2 (1 + √2) s². We can show this by finding the area of the square outside of the octagon, and subtracting the triangles in the corners:
(s + √2 s)² − 4 (½ (½√2 s)²)
(1 + √2)² s² − 4 (½ (s²/2))
(1 + 2√2 + 2) s² − s²
2 (1 +√2) s²
The diagonal of the inner square is equal to the width of the octagon, (1+√2) s. So the side length of the square is:
½√2 (1+√2) s
½(2+√2) s
The area of the square is therefore:
(½(2+√2) s)²
¼(2+√2)² s²
¼(4+4√2+2) s²
¼(6+4√2) s²
½(3+2√2) s²
The area of the shaded region is therefore:
2 (1 +√2) s² − ½(3+2√2) s²
½ s² (4 (1 +√2) − (3+2√2))
½ s² (4 + 4√2 − 3 − 2√2)
½ s² (1 + 2√2)
The side length of the octagon is s = 14 in, so the area is:
½ (14 in)² (1 + 2√2)
= 98(1 + 2√2) in²
≈ 375 in²