Fresh cut flowers need to be in at least 4in of water. A spherical vase is filled until the surface of the water is a circle of 5in in diameter. Is the water deep enough for the flowers? Explain.

No. The depth of the water is less than the required depth(2.5 inches<4 inches)

Step-by-step explanation:

-The deepest point of the half-filled vase is the point perpendicular to the sphere's midpoint.

-This point is equivalent to the extreme end of the radius.

-Since, the diameter is 5 inches, the radius is:

2.5inches<4 inches

Hence, the water is not deep enough for the flowers.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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step-by-step explanation: