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liraira [26]
3 years ago
12

The intensity of light measured in foot-candles varies inversely with the square of the distance from the light source. Suppose

the intensity of a light bulb is 0.08 foot-candles at a distance of 3 meters. Find the intensity level at 8 meters.
Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

0.01125 foot-candles

Step-by-step explanation:

According to the data,  intensity of light measured in foot-candles varies inversely with the square of the distance from the light source

Therefore,

I α 1/d^{2}

I = k/ d^{2}

where,

'k' is the constant

'd' is the distance from bulb

'I ' is intensity of a light bulb

When,

d= 3meters

I = 0.08foot-candles

k= I .  d^{2}

k=  0.08 x 3² => 0.08 x 9

k= 0.72

Next is to determine the intensity level at 8 meters.

I = k/ d^{2}

I = 0.72/ 8²

I = 0.01125 foot-candles

Therefore, the intensity level at 8 meters is 0.01125 foot-candles

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B. 1/2 of 4/5 = ____ fifth(s)
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2 because of the way the question is written

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3 years ago
If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth tes
Keith_Richards [23]
You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
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Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
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This can be simplified as:
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Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
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4 0
4 years ago
Read 2 more answers
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