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Paladinen [302]
3 years ago
12

A man bikes at a rate that is 6 miles/hour faster than the rate at which he jogs. After 30 minutes jogging and 90 minutes biking

, the man has covered 21 miles. Over what distance was the man jogging?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

30

Step-by-step explanation:

i hope this helped and i am pretty sure this is correct!

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The area of a square is represented by the expression 16x^4y^8. What is the length of each side of this square
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Step-by-step explanation:

Given

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Suppose a is the side length of the square

The area of the square is given by

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So, we can write

\Rightarrow a^2=16x^4y^8\\\Rightarrow a=4x^2y^4

length of each side is 4x^2y^4

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When the following quadratic equation is written in standard form, what is the value of "c"?
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Answer:

Then value is 2

Step-by-step explanation:

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A balloon is rising at a constant speed of 5 ftys. A boy is cycling along a straight road at a speed of 15 ftys. When he passes
Ket [755]

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 ...

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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)

7 0
3 years ago
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