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kirza4 [7]
3 years ago
11

A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25

0 feet, what is the height of the building?
250 ft

50 ft
Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:  244.95 feet

Step-by-step explanation:

This scenario forms the shape of a right angled triangle with the shadow length being the triangle's length and the distance between the end of the shadow to the top of the building being the hypotenuse.

Use Pythagorean theorem:

c² = a² + b²

250² = 50² + b²

62,500 = 2,500 + b²

b²= 62,500 - 2,500

b² = 60,000

b = √60,000

b= 244.95 feet

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Solve for x.
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The Answer is: x = 1.444 with repeating 4.

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212x - 34(2x + 5) = 38

212x - 68x - 170 = 38

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3 years ago
Describe and correct the error(s) made in each of the problems below.
ladessa [460]

Answer:

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

Step-by-step explanation:

<u>Errors in Algebraic Operations </u>

It's usual that students make mistakes when misunderstanding the application of algebra's basic rules. Here we have two of them

  • When we change the signs of all the terms of a polynomial, the expression must be preceded by a negative sign
  • When multiplying negative and positive quantities, if the number of negatives is odd, the result is negative. If the number of negatives is even, the result is positive.
  • Not to confuse product of fractions with the sum of fractions. Rules are quite different

The first expression is

1-x / (5-x)(-x)=x-1 / x(x-5)

Let's arrange into format:

\displaystyle \frac{1-x}{(5-x)(-x)} =\frac{x-1 }{ x(x-5)}

We can clearly see in all of the factors in the expression the signs were changed correctly, but the result should have been preceeded with a negative sign, because it makes 3 (odd number) negatives, resulting in a negative expression. The correct form is

\displaystyle \frac{1-x}{(5-x)(-x)} =-\frac{x-1 }{ x(x-5)}

Now for the second expression

5/s+2/5=2/s

Let's arrange into format

\displaystyle \frac{5}{s}+\frac{2}{5} =\frac{2}{s}

It's a clear mistake because it was asssumed a product of fractions instead of a SUM of fractions. If the result was correct, then the expression should have been

\displaystyle \frac{5}{s}\times \frac{2}{5} =\frac{2}{s}

6 0
3 years ago
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