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solmaris [256]
3 years ago
10

A tree with a height of 12 yards casts a shadow that is 33 yards long at a certain time of day. At the same time, another tree n

earby casts a shadow that is 20 yards long. How tall is the second tree?
Mathematics
2 answers:
ivanzaharov [21]3 years ago
7 0

Answer: Height of second tree would be 7.27 yards.

Step-by-step explanation:

Since we have given that

Height of a tree = 12 yards

Length of shadow of tree = 33 yards

If the shadow of tree = 20 yards

Then, we need to find the height of tree.

Since there is direct relation between height of tree and length of its shadow.

So, Let the height of tree in the second case be 'x'.

So, it becomes,

\dfrac{12}{33}=\dfrac{x}{20}\\\\\dfrac{12\times 20}{33}=x\\\\7.27\ yards=x

Hence, height of second tree would be 7.27 yards.

stellarik [79]3 years ago
4 0
Shadow\ of\ second\ three\ is\\\\
33+20=53\\
Triangles\ made\ of\ three\ and\ shadows\ are\ similar, so\\
Proportion\ of\ length\ of\ shadow:\ \frac{53}{33}\\\\
Height\ will\ be\ on\ the\ same\ proportion\\\\
\frac{x}{12}=\frac{53}{33}\\\\
3x=53*12\\
3x=636\\
x=212\\
Second\ three\ has\ 212\ yards.
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Which ordered pale is a solution to the system of equations?
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c) (-2, 1)

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Check your answer:

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3 years ago
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3 years ago
Read 2 more answers
1. The perimeter of the square is f(x) = 4x, where x is the side of the square. Find the domain of the function.
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If the perimeter of the square is 4x then the domain of the function will be set of rational numbers and the domain of the function y=3x+8(3-x) is set of real numbers.

Given The perimeter of the square is f(x)=4x and the function is y=3x+8(3-x)

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First option is set of rational numbers which is right for the function.

Second option is set of whole numbers which is not right as whole number involves 0 also and the side of the square is not equal to 0.

Third option is set of integers which is not right as integers involve negative number also and side of square cannot be negative.

Hence the domain is set of rational numbers.

Now we will solve the second part of the question

f(x)=3x+8(3-x)

we have not told about the range of the function so we can put any value  in the function and most appropriate option will be set of real numbers as real number involve positive , negative and decimal values also.

Learn more about perimeter here brainly.com/question/19819849

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6 0
2 years ago
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