H=-5(t^2 - 16t)
H=-5(t^2 - 16t +64)+320
H=-5(t-8)^2 +320
Vertex is at (8, 320)
The max height is 320 m.
Represent the unknowns.
<span>Let x = length </span>
<span>since the width is 3/4 of the length, </span>
<span>Let (3/4)x = width </span>
<span>Recall that the area of rectangle is just width multiplied by the length, </span>
<span>A = w * l </span>
<span>Substituting, </span>
<span>432 = (3/4)x * x </span>
<span>432 = (3/4)x^2 </span>
<span>432 * 4/3 = x^2 </span>
<span>576 = x^2 </span>
<span>Get the square root of both sides, </span>
<span>x = 24 feet (length) </span>
Probability of heart = 13/52
probability of nine = 4/52
you add the probability because of the word "or" but must subtract the probability of drawing the 9 hearts because it's counted twice. counted once in heart probability and once again in nine probability.
probability of 9 <3 = 1/52
probability of heart or nine:
13/52 + 4/52 - 1/52 = 16/52
simplified;
= 4/13
You answer would be 432000 as your answer
