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Annette [7]
3 years ago
13

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

gth of his shadow when he is 25 ft from the street light

Mathematics
1 answer:
vredina [299]3 years ago
7 0

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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Klio2033 [76]

Answer:

it's false

the true is -1/2

Step-by-step explanation:

-5/2-2+4=-1/2

7 0
3 years ago
PLEASE HELP ASAP ASAP
muminat

Answer:

slope = -1/12

Step-by-step explanation:

From the figure we can see that the line passes through 2 points which are

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Use the formula y2-y1/x2-x1

(-2-(-1))/6-(-6)

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3 0
2 years ago
Given the geometric sequence where a1 = 3 and r = √2 find a9
Zigmanuir [339]

Answer:

a_9=48

Step-by-step explanation:

we are given

sequence is geometric

so, we can use nth term formula

a_n=a_1(r)^{n-1}

we have

a_1=3

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we have to find a9

so, we can plug n=9

we get

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8 0
3 years ago
Ay/x=cz? variable is y.
babymother [125]
Ay/x = cz

Multiply 'x' to both sides:

Ay = czx

Divide 'A' to both sides:

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3 0
3 years ago
Read 2 more answers
Please help me with this question please clarify what you're saying thank you
Nimfa-mama [501]
To find the circumference of this circle, you need to use the formula C=2(3.14)r
which means circumference=2 times pi times the radius so, you would multiply 2.8(the radius of your circle) times 2. Then you would multiply that times 3.14(pi rounded to the nearest hundredth). And there u go. U have ur answer.

C=2(2.8)(3.14)
C= 5.6(3.14)
C=17.584
C=17.58 feet
7 0
3 years ago
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