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)
I’m not gonna play today at the same time
Answer:
the answer is L. or the last answer
Step-by-step explanation:
you have to find the total area of the place first...
which is 21*17=357
then subtract the inner area (white area) which is
14*20=280
do 357-280 to get the remaining area and the answer is 77ft^2
hope this helps.. vote, comment, thanks, and maybe mark me brainliest lol idk
This distance can be expressed as 3.84× 
m.
What is distance with example?
- Distance is a scalar quantity.
- The distance of an object can be defined as the complete path travelled by an object.
Given the distance between the earth and the moon is 384000km
Representing in exponential notation,
=384000×1000m [∵1km=1000m]
=384× 
m
=3.84× m
Learn more about distance
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<u>The correct question is -</u>
The distance between the Earth and the moon is approximately 384000 km. this distance can be expressed as ____m.
function g has to be the transformation of function f. Therefore,
is the answer.
