3 years ago

Should any factors be accounted for when explaining how to solve an equation?

Mathematics

1 answer:

Veronika [31]3 years ago

3 0

Yes, it should be taken into account

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g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len

vredina [299]

Answer:

$-\frac{10}{3}ft/s$

Step-by-step explanation:

We are given that

Height of man=5 foot

$\frac{dy}{dt}=-10ft/s$

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

$\frac{20}{5}=\frac{x+y}{x}$

$4=\frac{x+y}{x}$

$4x=x+y$

$4x-x=y$

$3x=y$

$3\frac{dx}{dt}=\frac{dy}{dt}$

$\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s$

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light= $-\frac{10}{3}ft/s$

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2 years ago

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leonid [27]

Answer:....

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Step-by-step explanation:

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2 years ago

A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second

sammy [17]

9 +3 = 12 students

9 are male
1st = 9/12 = 3/4
2nd = 8/11

3/4 * 8/11 = 6/11

Answer = D) 6/11

8 0

3 years ago

What is a conversion factor that you can use to covert gallons to pints

____ [38]

Do a gallon man 1G 4Q 2P 2C

7 0

3 years ago

A map uses a scale of 0.5 cm = 75 km<br> 50 km=__cm<br> 280 km =__cm<br> 142.5 km=__cm

SpyIntel [72]

Answer:

50km = 0.33cm

280km = 1.87cm

142.5km = 0.95cm

Step-by-step explanation:

Ratio is 0.5/75 = 1/150 cm per km

5 0

2 years ago