Knowing that cos(45°) = 1/√2 is the way forward.

The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².
Answer:
y= - 3/2x + 7 hope this helps you out :)
Let us assume the number of band members = x
Let assume the number of chorale members = y
Then
x = y + 30
(x + 10)/(y + 10) = 3/2
2(x + 10) = 3(y + 10)
2x + 20 = 3y + 30
2x - 3y = 10
Putting the value of x from the first equation in the second equation, we get
2x - 3y = 10
2(y + 30) - 3y = 10
2y + 60 - 3y = 10
y = 50
Putting y = 50 in the first equation we get
x = 50 + 30
= 80
From the above deductions, we can easily conclude that the number of band members is 80. I hope that this is the answer that has actually come to your help.
Answer: Our required probability is 27.5%.
Step-by-step explanation:
Since we have given that
Total number of large companies = 400
Number of them offer free health fitness centres to their employees on the company premise = 110
We need to find the probability that this company offers a free health fitness centre to its employees on the company premises.
Our required probability is given by

Hence, our required probability is 27.5%.