9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
33, 21,49
Are all composite numbers. :)
Answer: The correct answer is 10 piranhas.
Step-by-step explanation:
To calculate the total Volume of a cylinder we have to use the following formula:
Volume = Area * Height
Area = π * r² , where r= radius
The diameter is always the twice the radius so the diameter is 4 feet in this case and the radius is 2 feet so the area is
Area= 3.1416 * (2*2)
Area = 3.1416 * 4
Area = 12.5664 square feet
Volume = 12.5664 (area) * 1.25 (height).
Volume = 15.708 cubic feet
Each piranha needs 1.5 cubic feet so we have to divide the total Volume by the volume that each piranha needs
15.708/ 1.5 = 10.472 or ten pirahnas because we can't put a fraction of a piranha in the tank.
We know, the measure of whole circle = 360
So, ACB = 360 - AOB
ACB = 360 - 30
ACB = 330
In short, Your Final Answer would be Option A
Hope this helps!
