Answer:
73 packs
Step-by-step explanation:
Find how many packs she has to buy by dividing 290 by 4, since each pack has 4 yogurts.
290/4
= 72.5
Since we need a whole number answer, round this up:
72.5
= 73
So, Libby will need to buy 73 packs
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
Answer:
Part A: a histogram
Step-by-step explanation:
Part A:
A histogram would be the best to use since they gave values that are x - y, or a ranged amount for the score.
Part B:
You would set up each value for the scores on the bottom. You would make the number of students on the left in increments of 1 (1,2,3,4,5 etc. )
You would make the first value ( 0-4 ) go up to 4 students. The second value ( 5-9) would go to 5. The third value ( 10-14 ) would go to 2. The fourth and fifth values ( 15-19 and 20-24 ) would go to 3.
Area of triangle = (1/2)*base*height
20.335 = (1/2)*base*8.3
2*20.335 = base*8.3
(2*20.335) / 8.3 = base Use your calculator.
4.9 = base
base = 4.9cm
