If Sin 3x= Cos (x-60), find the value of x
1 answer:
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
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Answer:
1920 in³
Step-by-step explanation:
The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.
Since the water fills to exactly three inches below the top of the aquarium, hence the height of the water in the aquarium is given as:
height of water = 13 in - 3 in = 10 in
Therefore the volume of the water in the tank is given by the formula:
Volume of water = height of water * breadth of tank * length of tank
Volume of water = 10 in * 8 in * 24 in = 1920 in³
Check the picture below.
notice that the car exits the northbound highway, and whilst going at 50mph for 1.5 hours, that simply means going for 75 miles.
make sure your calculator is in Degree mode.
notice that the car exits the northbound highway, and whilst going at 50mph for 1.5 hours, that simply means going for 75 miles.
make sure your calculator is in Degree mode.