Answer:
1. 4 and 1/6
2. 2 and 11/12
Explanation:
convert to improper fraction: 11/2 - 4/3
same denominator: 33/6 - 8/6
subtract: 25/6
convert to mixed number: 4 and 1/6
The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart.
let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120
We want to find where y = 0, where they meet:
0 = -0.01x + 120 Add 0.01x to both sides
0.01x = 120 Multiply both sides by 100
x = 12,000
The stalagmite and stalactite will meet in 12,000 years
Answer: Area of Parallelogram is 28 units squared.
Step-by-step explanation:
Knowing, any two vector sides of a parallelogram sharing the same initial point, we can find the area of parallelogram that two vectors are shaping, using the cross product of these two vectors a×b, where the area is given by
Area= |a×b| ___ (1)
From the given points,we may choose any three of them such and find a two vector and expresses the sides of parallelogram " or one side and a diagonal of parallelogram" ,we may choose for example B ,C and D.
Moreover, we may choose point B, to be common point for the two sides " the initial point of two vector" thus we need to find vector BD and vector BC .
Calculations are given in picture.
Ray KM is an angle bisector of NKL.
Answer:
6/13
Step-by-step explanation:
There are 52 cards in a deck, and 26 of them are red. There are 2 red queens in a deck, so the probability of choosing a red card that is not a queen is 24/52 = 6/13.