The sine of one acute angle is equal to the cosine of another when their sum is 90°.
.. (2β +10°) +(3β -25°) = 90°
.. 5β -15° = 90°
.. 5β = 105°
.. β = 21°
Then your equation becomes
.. sin(52°) = cos(38°)
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
9514 1404 393
Answer:
3/45
Step-by-step explanation:
To find the numerator, multiply the desired denominator by the fraction.
x/45 = 1/15
x = (45)(1/15) = 45/15 = 3
The equivalent fraction is 3/45.
Answer:
i did this it linear im pretty sure
Answer:
$20
Step-by-step explanation:
simple maths
