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
The 2x and 76 are opposite angles so they are equal.
2x = 76
x = 38 degrees
y and 76 are adjacent angles so y = 180 - 76
= 104 degrees
Answer:
x = -5
Step-by-step explanation:
The equation y = x^2+10x+25 can be factored to (x+5)^2
when (x+5)^2 = 0
x = -5
meaning the equation has a line of symmetry at x = -5
Answer:
Step-by-step explanation:
TYSM
HAVE A GREAT DAY
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
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Your expression can be simplified as follows:

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<em>Additional comment</em>
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:

Consider division:

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).