Determine the perimeter of each figure:


a. 20 cm
b. 17 feet
c. 16.8 meters
d. 12.35 cm

Mathematics

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Solve.Elaine has a grassy patch of land on her farm that is a rectangle measuring 50 feet by 80 feet. So her goat can eat grass while Elaine is busy with other farm work, she drove two posts into the ground and fastened a rope to each post, passing the rope through a metal ring on the goat's collar. When the goat pulls on the rope while walking, its path is an ellipse. (See the figure.) If the goat can just reach all four sides of the rectangular patch, find the equation of the elliptical path.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Graph the function. f(x) =  

A.

B.

C.

D.

Mathematics

Write the statements S1, S2, and S3 and determine if each statement is true.Sn: 2 is a factor of n2 + 9n

What will be an ideal response?

Mathematics

If a stone is dropped from a height of 100 feet, its height s after t seconds is given by with s in feet.

?
a. Find the stone's velocity at seconds.
b. When does it reach the ground, and how fast is it travelling when it hits the ground?
?
Round your answers to the nearest hundredth.
?

A. -44, 3.02, -66.44
B. -4, 3.02, -199.98
C. 44, 3.02, -66.44
D. -22, 1.51, -33.22
E. -44, 9.09, -199.98

Mathematics