Answer:
You have to multiply the base and height and then divide by 2
Step-by-step explanation:
Claim:
it takes n - 1 number of breaks to break the bar into n separate squares for all integers n.
Basic case -> n = 1
The bar is already completely broken into pieces.
Case -> n ≥ 2
Assuming that assertion is true for all rectangular bars with fewer than n squares. Break the bar into two pieces of size k and n - k where 1 ≤ k < n
The bar with k squares requires k − 1 breaks and the bar with n − k squares
requires n − k − 1 breaks.
So the original bar requires 1 + (k−1) + (n−k−1) breaks.
simplifying yields,
1 + k − 1 + n − k − 1
1 - 1 + n - 1
n - 1
Therefore, we proved as we claimed that it takes n - 1 breaks to break the bar into n separate squares.
Answer:
9:40 am
Step-by-step explanation:
Let time taken from when Smith left compound to when Garcia overtakes Smith's car be represented by y
After y hours, Smith has covered 48*y=48y miles
Similarly, due to a difference of 20 minutes which is 20/60=1/3 hours, Garcia moves a distance of
60(y-1/3)
Equating both distances to be the same
60y-20=48y
12y=20
y=20/12=5/3 hours
Converted to minutes
5/3*60=100 minutes= 1 hr 40 mins
Therefore, adding 100 minutes to to starting time of Smith
8:00+1:40=9:40 am
The time that Garcia overtakes Smith is 9:40am
Additive Inverse of 63 = -63
Since the additive inverse of 63 is -63, additive inverse is also known as the opposite number.
