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lawyer [7]
3 years ago
10

Help with algebra please!

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0
4 is 101 and 1 and 3 are 129
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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
How many cubes of side 2cm can be fitted into a box 12 cm long, 8cm wide and 4cm high?
kogti [31]

Answer:

there are 48cubes fetted into a box

6 0
3 years ago
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There are five people sitting around the dinner table each person has 2/10 of a pie on thier plate. How much pie is left?explain
Gnoma [55]
1 person has 2/10 and there are 5 people, so you add 2/10 per person. 
1-2/10
2- 4/10
3- 6-10
<span>4- 8-10
</span>5-10/10

The answer is 0, there are no pieces left.<span />
8 0
2 years ago
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Ermining the Measure of an Interior Angle
CaHeK987 [17]
I think it’s 70 degrees
8 0
2 years ago
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Acellus
USPshnik [31]

Answer:

<6

Step-by-step explanation:

Corresponding angles have the same matching corner when a transversal line crosses tow straight lines.

Thus, in the diagram given, the angle that has the same matching corner with <2 is the angle that corresponds to <2.

<6 has the same matching corner with <2.

Therefore, <6 corresponds with <2

7 0
3 years ago
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