To get the maximum height, we first determine the time at which this maximum height is attained by differentiating the given equation and equating the differential to zero.
h(t) = -0.2t² + 2t
Differentiating,
dh(t) = -(0.2)(2)t + 2 = 0
The value of t is equal to 5. Substituting this time to the original equation,
h(t) = -0.2(5²) + 2(5) = 5 ft
Thus, the maximum height is 5 ft and since it will take 5 seconds for it to reach the maximum height, the total time for it to reach the ground is 10 seconds.
Answers: maximum height = 5 ft
time it will reach the ground = 10 s
The quastion is asking us to determine the measure of angle M in a right triangle LMN. We know that angle N is a right angle and that LM = 76 ( Hypotenuse ) and MN = 40 ( Adjacent ). We will use trigonometry: cos M = Adjacent / Hypotenuse = 40 / 76 = 0.5263158; M = cos^(-1) 0.563158; M = 58.242° = 58° 15`. Answer: The measure of angle M is<span> 58°15`.</span>
$21 because 3$x$7(numbers of days in a week)is $21. I hope this helps :)
<span><span>2/5</span>−<span>1/4
</span></span><span>=<span><span>2/5</span>−<span>1/4
</span></span></span><span>=<span><span>2/5</span>+<span><span>−1/</span>4
</span></span></span><span>=<span><span>8/20</span>+<span><span>−5/</span>20
</span></span></span><span>=<span><span>8+<span>−5/</span></span>20
</span></span><span><span>=<span>3/20</span></span><span>(Decimal: 0.15)</span></span>
