Answer:
sin
/4 * sin
/6 = 1/2 *(cos
/12 - cos 5
/12)
Step-by-step explanation:
Formula:- sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]
sin(π/4)sin(π/6)
= (1/2)[cos(π/4 - π/6) - cos(π/4 + π/6)]
= (1/2)[cos(3π/12 - 2π/12) - cos(3π/12 + 2π/12)]
= (1/2)[cos(π/12) - cos(5π/12)]
Answer:
y=3
Step-by-step explanation:
it says that y is the inverse of x so if x=3 and y=8, so if x=8 than y must equal 3
Answer:

Step-by-step explanation:
Given

First, we need to list the multiples of 5

Then, multiples of 3
Next, is to list out the common elements in both


The required probability is then calculated as thus:



F(x) = 20x+300
you sub in the x values (120 hours and 100 hours) for each equation
the only one they both work for is the last one
f(x) = 20x + 300
f(100) = (20 * 100) + 300 = 2000 + 300 = 2300
f(120) = (20 * 120) + 300 = 2400 + 300 = 2700
Answer:
HCF Of two nos. is 17
Let another no. be x
we know that HCF ×LCM = Product of two numbers
17×140=20×(x)
20x=2380
x =2380/20
x=119
The other no. is 119