To solve for the square root property of equality of the quadratic equation, both sides of the equation must be square root. To do that we transfer the other term to the other side making it, x2 = 81. Now we can take the square root of both sides, √x2 = √81, x = 9 or x = -9.
Geometry is everywhere. Angles, shapes, lines, line segments, curves,<span> and other aspects of geometry are every single place you look. Letters themselves are constructed of lines, line segments, and curves.</span>
Answer:
about 31.62 units
Step-by-step explanation:
tan(59)=x/19
x=19tan(59)
x=31.62
2W + 2L = 820
<span>LW = 42,000 or L = 42,000/W </span>
<span>substitute second equation into first equation: </span>
<span>2W + 2(42,000/W) = 820 </span>
<span>2W + 84,000/W = 820 </span>
<span>2W^2/W + 84,000/W = 820W/W </span>
<span>2W^2 - 820W + 84,000 = 0 </span>
<span>quadratic formula: </span>
<span>W = [820 +/- SQR(672,400 - 4(2)(84,000))]/2(2) </span>
<span>W = [820 +/- 20]/4 </span>
<span>W = 200, 210 </span>
<span>using second equation: </span>
<span>L = 42,000/200, 42,000/210 = 210, 200 </span>
<span>The dimensions of the parking lot are 200ft by 210ft.</span>
Answer:
B
Step-by-step explanation:
Volume = Volume of cylinder + Volume of semi sphere
= pi*r^2*h+(2/3)*pi*r^3
=pi*(4*12+16/3)=pi*53.3
