Answer:
Charles's reasoning is wrong.
Step-by-step explanation:
Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.
Let's set up ratios.
So Lupita got the best deal, not Charles. Poor him.
Answer:
4i+j-2k
Step-by-step explanation:
The missing figure in this problem as been attached, as we can see the figure is a 3-D figure consisting of rods with point C and B.
Using the figure we can find the value of position vector
r=-
As we know , a position vector is the difference of position vector of ending point to the position vector of starting point, here the starting point is C and ending point is B. Hence, the expression above.
We need to first find and
Using the figure:
=0i+4j+2k
= -4i+3j+4k
r=-=(0i+4j+2k) - (-4i+3j+4k)
r=4i+j-2k (feet)
Magnitude of ===4.583 ft
The quantity of each concentrations of 3% and 9% needed to get the desired concentration is 54 milliliters and 27 milliliters respectively
<h3>Simultaneous equation</h3>
Let
- Quantity of 3% needed = x
- Quantity of 9% needed = y
x + y = 81
0.03x + 0.09y = 81 × 5%
0.03x + 0.09y = 4.05
x + y = 81
0.03x + 0.09y = 4.05
From (1)
x = 81 - y
0.03x + 0.09y = 4.05
0.03(81 - y) + 0.09y = 4.05
2.43 - 0.03y + 0.09y = 4.05
- 0.03y + 0.09y = 4.05 - 2.43
0.06y = 1.62
y = 1.62/0.06
y = 27
x = 81 - y
x = 81 - 27
x = 54
Simultaneous equation:
brainly.com/question/16863577
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Wouldn't you just multiply this, which is 3x9 = 27
Answer:
The angle of rotation of the boats direction from start to finish = 50.36⁰ to east towards north.
Step-by-step explanation:
Let x axis be east direction and Y axis be north direction.
We have first boat travels 30 miles north
Displacement = 30 j
20 miles east
Displacement = 20 i
40 miles northeast
Displacement = 40 cos 45 i + 40 sin 45 j = 28.28 i + 28.28 j
Total displacement = 48.28 i + 58.28 j
Angle, tanθ = 58.28/48.28
θ = 50.36⁰
The angle of rotation of the boats direction from start to finish = 50.36⁰ to east towards north.