the area is 254.34 sq. ft.
So this is a special triangle. The 30-60-90 triangle rule states that if the short leg is y, then the hypotenuse is 2y and the long leg is y√3.
In this case, the short leg is 5√3 since that times √3 makes 15.
Now with the hypotenuse, just multiply 5√3 with 2, and your answer should be 10√3, or C.
Answer: the probability that the hospital's capacity will be exceeded = 0.035
Step-by-step explanation:
Shown in the attachment.
Answer:
The line u and line v have no point of intersection because they are parallel lines
Step-by-step explanation:
The slope of a straight line is given as follows;
The slope of line u is (4 - (-8))/(5 - 9) = -3
The equation for line u is y - 4 = -3*(x - 5)
y = -3·x + 15 + 4 = 19 - 3·x
The slope for line v is (-7 - 2)/(7 - 4) = -3
The equation for the line v is y - 2 = -3*(x - 4)
∴ y = -3x + 12 + 2 = -3x + 14
y = 14 - 3·x
Therefore. line u and line v have the same slope and are therefore parallel and they do not intersect