when someone says a number squared or cubed, or to the certain power, it means how many times you multiply the base number by itself that many times, for example
2²= 2 * 2
or 9³ = 9 x 9 x 9
a square root or cube root, is a harder to understand, but still somewhat simple, it basically means how many what number squared or cubed equals this number.
so for example the square root of 9 = 3 because 3 x 3=9
or cube roots for example ∛125= 5 because 5 x 5 x 5
So here is an example one for you. √81.
Answer:
(0.5, 0.5)
Step-by-step explanation:
draw lines in the middle of each side and the points line up in one spot
Answer:
i- ;-;
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
because if you do it then the anwser would be 8.5 so it could be 8 or 9
Answer:
a. 25.98i - 15j mi/h
b. 1.71i + 4.7j mi/h
c. 27.69i -10.3j mi/h
Step-by-step explanation:
a. Identify the ship's vector
Since the ship moves through water at 30 miles per hour at an angle of 30° south of east, which is in the fourth quadrant. So, the x-component of the ship's velocity is v₁ = 30cos30° = 25.98 mi/h and the y-component of the ship's velocity is v₂ = -30sin30° = -15 mi/h
Thus the ship's velocity vector as ship moves through the water v = v₁i + v₂j = 25.98i + (-15)j = 25.98i - 15j mi/h
b. Identify the water current's vector
Also, since the water is moving at 5 miles per hour at an angle of 20° south of east, this implies that it is moving at an angle 90° - 20° = 70° east of north, which is in the first quadrant. So, the x-component of the water's velocity is v₃ = 5cos70° = 1.71 mi/h and the y-component of the water's velocity is v₄ = 5sin70° = 4.7 mi/h
Thus the ship's velocity vector v' = v₃i + v₄j = 1.71i + 4.7j mi/h
c. Identify the vector representing the ship's actual motion.
The velocity vector representing the ship's actual motion is V = velocity vector of ship as ship moves through water + velocity vector of water current.
V = v + v'
= 25.98i - 15j mi/h + 1.71i + 4.7j mi/h
= (25.98i + 1.71i + 4.7j - 15j )mi/h
= 27.68i -10.3j mi/h
