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soldier1979 [14.2K]
3 years ago
9

A person who is 6ft tall walks away from a streetlight. When the person is 15 feet away from the light, the tip of his shadow is

5 feet in front of him. Find the height of the streetlight
Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0
We essentially have a ratio here:
\frac{shadow}{actual}

Since we know the ratio is going to stay constant at \frac{5}{6}, we can use this to find the height of the lamp along with the information that the total distance from the lamp to the tip of his shadow is 20:
\frac{5}{6}=\frac{20}{h}
5h=120
h=24
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A computer code is based on the prime factorization of 160.Find the prime factorization of 160
lilavasa [31]
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8 0
3 years ago
If employment is expected to increase by 14.8% between 01/2009 and 01/2016 and the employees number 19, 100 in 01/2009, how many
AlexFokin [52]

Based on the rate of increase, the number of employees that will be there in 2016 is<u> 21,927 people.</u>

<h3>Number of employees in 2016</h3>

This can be calculated by the formula:

= Employees in 2009 x ( 1 + rate of increase)

Solving gives

= 19,100 x (1 + 14.8%)

= 21,926.8

= 21,927 people

In conclusion, there will be 21,927 people in 2016.

Find out more on rates of increase at brainly.com/question/3040628.

3 0
2 years ago
What is the total area of the prism?
Pavlova-9 [17]
First we look for the area of the triangle which is given by:
 A = (1/2) * (4) * (6)
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 Area of the rectangles:
 Rectangle 1:
 R1 = (4) * (8)
 R1 = 32 feet ^ 2
 Rectangle 2:
 R2 = (6) * (8)
 R2 = 48 feet ^ 2
 Rectangle 3:
 R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
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 The total area will be:
 A = 2A + R1 + R2 + R3
 Substituting values:
 A = 2 * (12) + 32 + 48 + 57,68882041
 A = 161.6888204 feet ^ 2
 Answer:
 
The total area of the prism is:
 
A = 161.6888204 feet ^ 2
6 0
3 years ago
0.2.0.4, 0.6, 0.8, 1....<br> Arithmetic or geometric
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Arithmetic sequences have a common difference between consecutive terms.

Geometric sequences have a common ratio between consecutive terms.

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Differences:

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Ratios:

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So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.

So, this is an arithmetic sequence.

3 0
2 years ago
What is |3| ????????????
Natalija [7]

Answer:

3

Step-by-step explanation:

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|3| = 3

5 0
2 years ago
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