Answer:
32760 different schedules are possible.
Step-by-step explanation:
The order is important.
For example
Prague on Monday, Berlin on Tuesday, Liverpool on Wednesday and Athens on Thursday is a different schedule than Berlin on Monday, Prague on Tuesday, Liverpool on Wednesday and Athens on Thursday.
So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different schedules are possible?
Choose 4 cities among a set of 15. So
32760 different schedules are possible.
Answer:
D
Step-by-step explanation:
rule: Diametre includes the centre of a circle.
According to the given conditions AB and DE are diameters.
▪ Answer:
n = 17
d = 8
▪ Step-by-step explanation:
Hi there !
1 nickel = 5c
1 dime = 10c
$1.65 = 165c
n + d = 25 => n = 25 - d
5n + 10d = 165
replace n
5(25 - d) + 10d = 165
125 - 5d + 10d = 165
5d = 165 - 125
5d = 40
d = 8 (dimes)
n = 25 - d
n = 25 - 8
n = 17 (nickels)
Good luck !
Step-by-step explanation:
RS + ST = 8
(RS + ST)×RS = (4 + 2)×4
8 × RS = (4 + 2) × 4 = 6 × 4 = 24
RS = 24/8 = 3
RS + ST = 8
3 + ST = 8
ST = 5
Answer:
6√2
Step-by-step explanation:
Given,
θ = 45
Opposite side = 6
To find : - Hypotenuse
Formula : -
sin θ = Opposite side / Hypotenuse
[ The value of sin 45 = 1 / √2 ]
sin 45 = 6 / Hypotenuse
1 / √2 = 6 / Hypotenuse
Cross multiply,
Hypotenuse = 6√2
