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
Vlada [557]
3 years ago
15

A man 6 ft tall walks at a rate of 6 ft/sec away from a lamppost that is 24 ft high. At what rate is the length of his shadow ch

anging when he is 75 ft away from the lamppost
Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

2 ft/s

Step-by-step explanation:

The lamppost is 24 ft. tall, and the man is 6 ft. tall. So, we will use a proportion to find the shadow.

Let s is the length of the base of the lamppost to the shadow while x is the length of the base of the lamppost to the man, so the length of the shadow is s - x.

Using triangular ratio, we have;

24/6 = s/(s - x)

4 = s/(s - x)

We cross multiply and distribute to get;

4s - 4x = s

4s - s = 4x

3s = 4x

s = 4x/3

Taking the derivative of both sides according to time, we have;

ds/dt = (4/3)dx/dt

Now, dx/dt is given as 6 ft/s

So;

ds/dt = (4/3) × 6

ds/dt = 8 ft/s

For us to find the rate of length of the shadow according to time, we recall that the shadow = s - x, so we will just take the derivative of each and subtract. Thus;

d(s - x)/dt = ds/dt - dx/dt

Plugging in the relevant values, we have;

ds/dt - dx/dt = 8 - 6 = 2 ft/s

You might be interested in
What is the proportion you used to solve: what number is 28% of 50
UNO [17]

Answer:

is the answer 14

Step-by-step explanation:

If you are using a calculator, simply enter 28÷100×50 which will give you 14 as the answer.

hope it helps

mark me brainliest pls

4 0
2 years ago
Enter the next three numbers of the repeating decimal produced by the fraction 1/9
daser333 [38]
.517 if im just doing it wrong
3 0
2 years ago
What property is shown in the equation? Help please
serg [7]

Answer:

identity property of division

Step-by-step explanation:

8 0
3 years ago
Write the first 6 terms of the arithmetic sequence whose first term is 8 and has a common difference of 2
soldier1979 [14.2K]

Answer: The first 6 terms are = 8, 10, 12,14,16,18

Step-by-step explanation:

The NTH term of an Arithmetic Sequence is given as

an = a1 + (n - 1 ) d

where a1 = First term  given as 8 and

d=  common difference given as 2

Therefore  We have that

the first term

an = a1 + (n - 1 ) d = 8+(1-1) 2

a1= 8

second term=

an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2

= 8+ 2(1) = 10

3rd term

an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2

= 8+ 2(2)= 8 + 4=12

4th term

an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2

= 8+ 2(3)= 8+6=14

5th term

an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2

= 8+ 2(4)=8+ 8=16

6th term

an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2

= 8+ 2(5)=8 +10 =18

6 0
3 years ago
(PLZ HELP 20pts)If the graph of function g is 6 units below the graph of function f, which could be function g? f(x)=-2x+7
defon

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Help asap<br> Solve for x. 2x2 – 7x = 4
    14·2 answers
  • X/9 + 7 ≥ 10 <br><br> A. x ≤ 83<br><br> B. x ≥ 27<br><br> C. x ≤ 27<br><br> D. x ≥ 83
    13·1 answer
  • How do you solve the equation 0.4(2x+0.5)=3[0.2x+(-2)]-4
    9·2 answers
  • Solve the equation 3/7k=12/35
    5·1 answer
  • 1. Identify the vertical asymptotes of
    7·1 answer
  • Can someone please tell me the answer for this question.
    11·1 answer
  • You are making 8 cups of fruit punch for a party. You have bottles of 75% fruit juice and 25% fruit juice. How many cups of each
    15·1 answer
  • Simplify<br> 69 +39<br> 018<br> O 81
    5·2 answers
  • Please give a valid complete answer with steps. <br> Given the information below, what is m ∠CBE?
    11·1 answer
  • For exercises 1-4. use the drawing and an inch ruler to find the actual length and width of each section of the park. Measure to
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!