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-n [284]
3 years ago
15

The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a

screen 56 ft from a light is 2.7 foot-candles, find the intensity on a screen 70 ft from the light.
Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Answer:

The intensity on a screen 70 ft from the light is 1.728 foot candle.

Step-by-step explanation:

Given that,

The magnitude of  intensity I of light varies inversely as the square of the magnitude of distance D from the source.

That is

I\propto \frac{1}{D^2}

Then,

\frac{I_1}{I_2}=\frac{D_2^2}{D_1^2}

Given that,

The magnitude of intensity of illumination on a screen 56 ft from a light is 2.7 foot-candle.

Here,

I_1=2.7 foot-candle, D_1= 56 ft

I_2=?, D_2= 70 ft.

\frac{I_1}{I_2}=\frac{D_2^2}{D_1^2}

\Rightarrow \frac{2.7}{I_2}=\frac{70^2}{56^2}

\Rightarrow \frac{I_2}{2.7}=\frac{56^2}{70^2}

\Rightarrow {I_2}=\frac{56^2\times 2.7}{70^2}

\Rightarrow {I_2}=1.728 foot-candle

The intensity on a screen 70 ft from the light is 1.728 foot candle.

You might be interested in
12000 pennie s equal
Arlecino [84]
There are 100 pennies in a dollar. We can divide 12000 pennies by 100 to find out how much they are worth in dollars.

12000/100 = $120
8 0
3 years ago
Read 2 more answers
The shape of nevada can be divided intoa rectangle and triangle ​
kozerog [31]

Answer:

Cool

Do you need help with anything or is it just a fact?

3 0
2 years ago
Read 2 more answers
Proof true or false: For all integers a,b,and c,if ab|c then a|c and b|c
olya-2409 [2.1K]

Answer with explanation:

It is given that for three integers , a, b and c, if

              \frac{ab}{c}\rightarrow then, \frac{a}{c} \text{or} \frac{b}{c}

Since , a b is divisible by c , following are the possibilities

1.→ a and b are prime integers .Then , c will be prime number either equal to a or b.

2.→a and b are not prime integers ,then any of the factors of a or b will be equal to c.For example:

 ⇒a=m × n

 b=p × q× c

or,

⇒a=u×v×c

b=s×t

So, whatever the integral values taken by a, and b, if \frac{ab}{c} then either of  \frac{a}{c} \text{or} \frac{b}{c} is true.

4 0
2 years ago
What is the y intercept of the graph y= -2x^2 -4x-3
Kitty [74]

the answer for this question is -3

4 0
3 years ago
Evaluate this function f(x)= -x2+6x+19 Find f(5)
mario62 [17]

Answer:

f(5) = -10+30+19 = 39

Step-by-step explanation:

f(5) = (-5)2+6(5)+19

-10+30+19

=39

7 0
2 years ago
Other questions:
  • Solve 2+(6*5)-8, I have no clue the "*" is.
    6·2 answers
  • You are given a fraction in simplest form. the numerator is not zero. when you write the fraction as a decimal,it is a repeating
    6·2 answers
  • Solve 1/5x+3=10. Show all work and check it
    10·2 answers
  • A researcher takes a simple random sample of 71 homes in the city and finds that the mean square footage is 1468 with a standard
    11·1 answer
  • How much time is from 12:47 pm to 2:24 pm
    7·2 answers
  • Assume that the probability of a driver getting into an accident is 6.8% and
    15·1 answer
  • 5x - 4y = 1 <br> 2x + 3y = 5<br> show your work
    13·2 answers
  • 1. If f(x) = 3x² + x - 2, then f(-2) =<br> 8<br> 12<br> 32<br> -16
    13·2 answers
  • What is the vertex of the absolute value function below?
    6·1 answer
  • Fill in the boxes to complete each number chain.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!