The true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
<h3>
Relative velocity of the football</h3>
The true speed and direction of the football is determined by applying the concept of relative velocity.
Vr/w = Vb - Vw
where;
- Vr/w is the velocity of the football with respect to the wind
- Vb is the velocity of the football
- Vw is the velocity of the wind
Vr/w = 41 mph - 11 mph = 30 mph
The direction speed can be determined by sketching a triangle
Direction of the speed, θ = (360 - 339) - (180 - 168)
θ = 21 - 12 = 9⁰
<h3>Resultant speed;</h3>
R² = 41² + 11² - 2(41 x 11 x cos9)
R² = 911.105
R = √911.105
R = 30.185 mph
Thus, the true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
Learn more about relative velocity here: brainly.com/question/17228388
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Answer:
875
Step-by-step explanation:
lets assume the original amount X
the new amount = X - ( X × 40% )
525 = (60 × X) ÷ 100
X = ( 525 × 100 ) ÷ 60
<u>X = 875</u>
Answer:
129
Step-by-step explanation:
If three lines CD, CE and CF extend from point C, then the following addition postulate is true;
<DCE + <ECF = <DCF
If the space between line C D and C E is 75 degrees, then <DCE = 75
If the space between lines C E and C F is 54, then <ECF = 54.
Substitute the given values into the expression above will give;
<DCF =<DCE + <ECF
<DCF = 75+54
<DCF = 129
Hence the measure of <DCF is 129°
Answer:
Step-by-step explanation:
Answer:
D)
24
Step-by-step explanation:
