Answer:
<h2>a) 120 ways</h2><h2>b) 6 unique ways</h2>
Step-by-step explanation:
The question will be solved using the permutation formula since are arranging. <u>Permutation deals with arrangement.</u>
If there we are to arrange n objects taking 'r' at a time, this can be done in nPr ways.
a) If you therefore have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. Since they are in a single file line, This can be done in 6P3 number of ways.
b) The number of unique ways to arrange the letters in the word DEN is 3! ways since there are only 3 letters in the word.
3! = 3*2*1
3! = 6ways
Given:
base = 16
hypotenus = 21
Angle = x
The value of x is 40 degree.
Answer:
Step-by-step explanation:
The area will be increased by 4 times and volume will be increased by 8 times
Area of rectangular prism = 2 (lb+bh +hl)
When sides are doubled, Area = 2 (2l * 2b +2b *2h + 2h*2l)
= 4 * 2 (lb+bh +hl)
Volume of rectangular prism = lbh
When sides are doubled, Volume = 2l * 2h * 2b = 8 lbh
Answer:
Step-by-step explanation:
Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. Example: 73 rounded to the nearest ten is 70, because 73 is closer to 70 than to 80. But 76 goes up to 80. There are many ways to round.
