Answer:
Positive number
Step-by-step explanation:
Given that:
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.
Let x be the amount of her savings and she needs $300
SO;
x + 300 = 0
As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.
Answer:
Step-by-step explanation:
The set {1,2,3,4,5,6} has a total of 6! permutations
a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.
b. The next 120, including the 124th, would begin with '2'
c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1
d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3
e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).
Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).
∴ The 124th number is 213564
Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.
Answer:
The Lcm is 42/
Step-by-step explanation:
Least common multiple (LCM) of 6 and 14 is 42.
Hope that helped.
1) From building 1 to 2: 5 - (-3) = 8
2) From 2 to 3: 4 - (-5) = 9
3) From 3 to 4: 5 - (-3) = 8
4) From 4 to 1: 4 - (-5) = 9
Total: 8 + 9 + 8 + 9 = 34 units = 34*100 feet = 3400 feet.
Answer: 3400 feet
Area of the triangle = (1/2)*base*height
For right triangle base and height can be legs.
We have one leg = 5 ft. (Lets think it is a base.)
We need to find the other leg.
We are going to use Pythagorean theorem.
5² + b²=13²
b²=144
b=12 (It is going to be our height.)
Area of the triangle = (1/2)*5*12= 30 ft²
Area of the triangle = 30 ft²
