The answer is <span>$494.55</span>
Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above <span>a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = </span>π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches
So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²
The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²
Since the stained glass window costs $1.40 <span>per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55</span>
If the parent graph f(x) = x² is changed to f(x) = 2x², the vertex of the parabola will still remain (0, 0) because whenever the equation of a parabola is in the form y = ax², the vertex will always be (0, 0).
Now if <em>a</em> is a big number, the parabola will become narrower.
So it will stretch vertically and become narrower.
So Congruent. Two figures are congruent if they have the same shape and size. Two angles are congruent if they have the same measure. Two figures are similar if they have the same shape but not necessarily the same size.
I hope that help u:)
Answer
14.4 ft~
Step-by-step explanation
A kite is flying 12 feet off the ground, therefore the height is 12 (assuming the line is tied to the ground if a person is holding the line then the height would be less)
Assuming the sun is positioned in such a way that the shadow represents a horizontal distance. Horizontal distance of shadow = 8
Use Pythagoras Theorem
Where a^2 + b^2 = c^2
8^2 + 12^2 = 208
Square root 208 = 14.4~
~ Hoodini, here to help :)