Answer:
13 ft/s
Step-by-step explanation:
t seconds after the boy passes under the balloon the distance between them is ...
d = √((15t)² +(45+5t)²) = √(250t² +450t +2025)
The rate of change of d with respect to t is ...
dd/dt = (500t +450)/(2√(250t² +450t +2025)) = (50t +45)/√(10t² +18t +81)
At t=3, this derivative evaluates to ...
dd/dt = (50·3 +45)/√(90+54+81) = 195/15 = 13
The distance between the boy and the balloon is increasing at the rate of 13 ft per second.
_____
The boy is moving horizontally at 15 ft/s, so his position relative to the spot under the balloon is 15t feet after t seconds.
The balloon starts at 45 feet above the boy and is moving upward at 5 ft/s, so its vertical distance from the spot under the balloon is 45+5t feet after t seconds.
The straight-line distance between the boy and the balloon is found as the hypotenuse of a right triangle with legs 15t and (45+5t). Using the Pythagorean theorem, that distance is ...
d = √((15t)² + (45+5t)²)
The answer to this question is that the trains will meet after 3 hours.
We can work this out by considering that is the closing speed of the two
trains is (50+60=)110 miles per hour, then this must mean that the
combined distance that the trains need to travel before they meet is 330
miles. If the time that is taken to travel 330 miles at 110 miles per
hour, then you simply need to divide 330/110 to find your answer - 3
hours.
Commission earned by William is $ 45.84
<h3><u>
Solution:</u></h3>
Given that,
William makes a commission of 6% percent on everything he sells
He sells a computer for $764.00
<em><u>To find: Commission amount of William</u></em>
Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00
Commission amount of William = 6 % of $ 764.00
a % of b can be written in fraction as 
Thus commission earned by William is $ 45.84
So hmmm recall the "inscribed angle theorem", notice the first picture
thus, check the second picture, recall, a flat line line AOD is 180° wide
Answer:
sorry i dont know, i just rlly need points
Step-by-step explanation:
