Answer:
5
Step-by-step explanation:
Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east
<h3>How to determine the speed of travel?</h3>
The diagram that represents the scenario is added as an attachment.
Let x represents Lyra's speed of travel.
The value of x is calculated using the following Pythagoras theorem.
Evaluate the exponents
Evaluate the sum
Evaluate the exponent
x = 6.71
Hence, Lyra's speed of travel is 6.71 feet per seconds
<h3>How to determine the direction of travel?</h3>
The direction (∅) is calculated using the following tangent ratio.
Evaluate the quotient
Take the arc tan of both sides
Evaluate
Hence, Lyra's direction of travel is 27 degrees north of east
Read more about speed and distance at:
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Answer:
Pedro = $ 76, Avi = $ 51 and Carol = $ 23
Step-by-step explanation:
Let P, A and C be the amounts that Pedro, Avi and Carol had respectively. Pedro giving half of his money equally to both Avi and Carol would mean the amount Avi has now is A + P/4 and the amount Carol now has is C + P/4. The amount Pedro has left is P/2. If Avi now had too much and gave $10 each to Pedro and Carol, he would lose $20 and now has A + P/4 - 20. Carol now has C + P/4 + 10. Pedro now has P/2 + 10. Finally, Carol gave Pedro $ 2 and is $ 2 short and now has C + P/4 + 10 - 2. Pedro now has P/2 + 10 + 2. They all now have equal amounts. Since there are three of them and the total amount is $150, each person now has $150/3 = $50.
So, we now now have 3 equations.
P/2 + 10 + 2 = 50
C + P/4 + 10 - 2 = 50
A + P/4 - 20 = 50.
We now solve each equation.
First, P/2 + 10 + 2 = 50
P/2 + 12 = 50
P/2 = 50 - 12 = 38
P = 2 × 38 = 76
Next,
C + P/4 + 10 - 2 = 50
C + 76/4 + 8 = 50
C + 19 + 8 = 50
C + 27 = 50
C = 50 - 27 = 23
Finally,
A + P/4 - 20 = 50.
A + 76/4 - 20 = 50
A + 19 - 20 = 50
A - 1 = 50
A = 50 + 1 = 51
Brady is expecting 325 points this season.