1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kakasveta [241]
3 years ago
14

(5 points) A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Answer:

2.31 ft/sec

Step-by-step explanation:

In the picture attached, a representation of the problem is shown, where w(t) is the walking distance (as a function of time) and s(t) is the position of the tip of her shadow (as a function of time).

We want to find the derivative of s(t).

From triangles similarity:

s(t)/5 = [w(t) + s(t)]/18

18s(t) = 5w(t) + 5s(t)

13s(t) = 5w(t)

w(t) = 13/5*s(t)

We know that her speed is 6 ft/sec, that is:

d(w(t))/dt = 6 ft/sec

From the previous relationship:

d(w(t))/dt = 13/5*d(s(t))/t

Replacing:

6 = 13/5*d(s(t))/t

d(s(t))/t = 5*6/13

d(s(t))/t ≈ 2.31 ft/sec

You might be interested in
45 POINTS PLEASE HELP
lutik1710 [3]

Hello,

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.

Which of the following could be combinations of values for the plumber's work hours and total work fee she charges?

Solution:

Find similar ratios to 5/350

Similar Ratios,

1/70

2/140

3/210

3.5/245

4/280

6/420

7.25/507.50

Answers:

B) 3.5 hours and $245

C) 6 hours and $420

D) 7.25 hours and $507.50

5 0
3 years ago
Read 2 more answers
Rewrite 10 + 12 using the GCF and factoring.
Airida [17]

Answer:

1st option

Step-by-step explanation:

10 + 12 ← factor out 2 ( the GCF of 10 and 12 ) from each term

= 2(5 + 6)

5 0
1 year ago
What is the sum of the polynomials?
kiruha [24]
I don’t see the picture
6 0
3 years ago
1. Name the figure (It is not a cube; it is not a cylinder; what is it?)
Arlecino [84]
1. It is a triangular prism

6 0
3 years ago
Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
Other questions:
  • in a bag of marbles, you have 3 green, two yellow, six blue, and nine red marbles. What is the probability of picking a red marb
    15·1 answer
  • What’s the Volume of a sphere when radius is 8
    9·1 answer
  • Let f(x) = -4x + 7
    5·1 answer
  • Somebody please help
    15·1 answer
  • Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an unabraded condition and an abrad
    14·1 answer
  • Kip bought one and four sixths pounds of toffee. He gave five sixths of a pound to his friend. How much toffee does Kip have lef
    9·2 answers
  • I need helpppp assaaapp!
    6·2 answers
  • Which is the correct answer?​
    10·1 answer
  • How would you use distrubutive property for the eqaution 3(x+y)
    7·2 answers
  • Awsner this with step by step (can use calculator)​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!