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mart [117]
3 years ago
7

What is 4/24 x 2/3 = Simplied

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

all work is shown and pictured

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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
The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
Nana76 [90]
2007 $7.50. 100%
2021. $13.00. X%
X=100•13/7.5
X=173.33 %
173.33-100%=73.33%
Rounded to nearest tenth 73.3%
3 0
3 years ago
Calculate the value of A in the statement​
tigry1 [53]

please edit your question man

4 0
2 years ago
PLS HELP ASAP (picture attached below"
givi [52]

Answer:

14 for x and 42 for y

Step-by-step explanation:

6 0
3 years ago
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Sergeeva-Olga [200]
Because it will be  half2 standard deviation which will include 500-700.
2std will include from 300-700.
so it will be half of 95%.
7 0
3 years ago
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