The piecewise function h(x) is shown on the graph.

Mathematics

1 answer:

timurjin [86]2 years ago

7 0

Answer:i dont know

Step-by-step explanation:

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

25 is what percent less than 35

mars1129 [50]

Difference between 25 and 35 = 35 -25
   = 10
Then
percentage by which 25 is less than 35 =(10/35) * 100
   = (2/7) * 100
   = 200/7
   = 28.57 percent
So 25 is 28.57% less than 35.This is the only clear way of solving these kind of problems. I hope you have understood the method used to solve this problem. Hopefully you can do such type of problems without needing any help.

8 0

3 years ago

Read 2 more answers

Need help please

Lelu [443]

Answer:p

pn gv=0753vc

Step-by-step explanation:

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3 years ago

How many primes are between 2^31 and 2^32? What is the approximate ratio of primes to

PIT_PIT [208]