Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
It depends on how much you earn in an hour .. so for example if your earn 100$ in 1 hour so you need to work for 50 hours in total because 5000 divided the amount of money you make in a single hour which is 100 in this example will be 50 hours in total .. to get the amount of hours you need to work a week you should know that the month has 4 weeks .. so 50 divided 4 equals 12.5 hours
Answer:
he would have to pick 1,2,3 or 5...so that is 4/6 chance
if you need the percentage (im not sure if its right) it would be 76%
This is how I would solve it, I would act as if there were 36 people in the class.
36÷6=6×5=30
30÷3=10×2=20
20/36=10/18=5/9
You could also try another number such as 24;
24×(5÷6)=20
20×(2/3)=13.3(3 repeating)
13.333/24=5/9
5/9 people have dogs.
Tell me if this helps.
Answer:
$75.60
Step-by-step explanation:
First, find the total cost without tax:
42 + 28
= 70
Then, to find the price with sales tax, multiply this by 1.08:
70(1.08)
= 75.6
So, the total cost of her purchases was $75.60
