The graph shows the number of new houses built from 1970 to 2000. The mayor used the graph to claim the number built increased a
t a constant rate.
A) It is valid because the graph shows a constant rate of change.
B) It is valid because 30 years is long enough to evaluate the increase.
C) It is not valid because the scale on the vertical axis is inappropriate.
D) It is not valid because the scale on the horizontal axis is inappropriate.
A) It is valid because the graph shows a constant rate of change.
B) It is valid because 30 years is long enough to evaluate the increase.
C) It is not valid because the scale on the vertical axis is inappropriate.
D) It is not valid because the scale on the horizontal axis is inappropriate.
1 answer:
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Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C