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
zzz [600]
2 years ago
11

A beacon is flashing on top of a 50 foot tower. A 6 foot tall man walks constantly away from the tower at 5 feet/sec. At the ins

tant the man is 30 feet away from the tower, what rate is the tip of his shadow moving away from the tower
Mathematics
1 answer:
Viefleur [7K]2 years ago
7 0

Answer:\frac{253}{44}

Step-by-step explanation:

ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.

Similar triangles so we can do \frac{50}{x+y}  = \frac{6}{y}.

Solve for it we get 44y = 6x

Differentiate relative to time t, we get 44y' = 6x'.

change in x (x') is equal to 5. And we get the answer y' = \frac{33}{44}.

the \frac{33}{44} ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.

You might be interested in
20 POINTS !! IF YOU ANSWER THE QUESTIONS !
tatuchka [14]
12 the answer is 12 I know it
6 0
3 years ago
Check attachment below
tresset_1 [31]

Answer:

170

Step-by-step explanation:

The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.

wx = 2(42x + 1)

We can add up that and the other arcs to 360.

2(42x + 1) + 29x - 1 + 65x + 3

84x + 2 + 29x - 1 + 65x + 3 = 360

178x + 4 = 360

178x = 356

x = 2

Plug in 2 for WX.

84(2) + 2 = 170

5 0
2 years ago
Graph h(x)= -4(x-3)(x-1)
ExtremeBDS [4]

Answer:

roots (1,0) (3,) the vertical intercept is (0,-12)

Step-by-step explanation:

5 0
1 year ago
Factor the following quadratic equation; <br><img src="https://tex.z-dn.net/?f=12%20%7Bx%7D%5E%7B2%7D%20%20%2B%2022x%20-%2014" i
Bogdan [553]

Answer:

2(3x + 7)(2x - 1)

Step-by-step explanation:

You can see it a little easier if you take out a common factor of 2

2(6x^2 + 11x - 7)

The 6 leaves you with a lot of factors, the 7 does not. It only has 2 factors.

Let 6 factor into 2 and 3 and the 7 into 7 and 1

2(3x - 1 )(2x + 7)

Now remove the brackets.

2(6x^2 + 21x - 2x - 7) This obviously does not work but we'll combine like terms anyway.

2(6x^2 + 19x - 7)

So we'll try it again

2(3x + 7)(2x - 1)

2(6x^2 + 14x - 3x - 7)    Looks like we have it.

2(6x^2 + 11x - 7)

So the right factors are

2(3x + 7)(2x - 1)

5 0
3 years ago
I need help ;------;​
Nostrana [21]

Answer:

The correct answer is False

3 0
2 years ago
Read 2 more answers
Other questions:
  • The number with the same value as 28
    10·2 answers
  • Study the equation.<br> x² + 6x = - 4
    9·1 answer
  • 2(n-3)=4n+1 this sucks not knowing the answer
    10·2 answers
  • How to work y intercept
    15·1 answer
  • Find the unknown side length for the parallelogram.
    15·1 answer
  • If h = 12 units and r = 4 units, what is the volume of the cone shown above? Use 3.14 for .
    11·2 answers
  • Maia is comparing the costs for one month's usage of two cell phone companies. Company A charges $\$40$ per month plus $\$8.50$
    13·1 answer
  • Find the circumference and the area of a circle with a 6 m.Write your answers in terms of pi,and be sure to include the correct
    8·1 answer
  • X is ........... variable | Maths Questions
    14·2 answers
  • Need help with classwork. I am not the smartest when it comes to geometry, if someone could help me, I would be grateful.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!