Answer:
Number of combinations = 56
Step-by-step explanation:
Points to remember
nCₐ = n!/(r!(n - r)!)
The given word is "FRIENDLY"
F R I E N D L Y is a 8 letter word.
<u>To find the number of combinations</u>
5 letters can be selected from 8 letter = 8C₅
8C₅ = 8!/(8 - 5)!5!
= 8!/3!5!
= (8 * 7 * 6* 5!)/(1 * 2 * 3 * 5!)
= 8 * 7
= 56
5 letter combinations can be created from the letters in the world “friendly = 56
9514 1404 393
Answer:
x = 7 1/3
Step-by-step explanation:
The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...
(x -2) = (2/3)(8)
3(x -2) = 16 . . . . . multiply by 3 to clear fractions
3x -6 = 16 . . . . . . eliminate parentheses
3x = 22 . . . . . . . . add 6; next divide by 3*
x = 22/3 = 7 1/3 . . . . . feet
_____
* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.
Answer:
The value of angle BAC = 75°
Step-by-step explanation:
=> Angle BAC + 105° = 180°
=> Angle BAC = 180° - 105°
=> Angle BAC = 75°
Answer:
50 lbs
Step-by-step explanation:
UPS: 8 + .20p
FedEx: 3 + .30p
8 + .20p = 3 + .30p
8 = 3 + .10p
5 = .10p
p = 50
40x=356000 x= 8900 applications
you make x the number of total applications
