Answer:
868 m³
Step-by-step explanation:
Volume = Difference of cones
V = ⅓(pi×r²h)
Volume of cone with base Circle O:
h = 8.2+8.2 = 16.4 m
V1 = ⅓(pi×7.6²×16.4)
V1 = 991.97
Volume of cone with base Circle A:
V2 = ⅓(pi×3.8²× 8.2)
V2 = 124 m³
Volume = V1 - V2
991.97 - 124 = 868 m³
Answer:
C. m∠x + m∠y = 180
Step-by-step explanation:
The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.
The only statement from the given options that is true is m∠x + m∠y = 180.
This is because they are angles in a straight line. The sun of angles in a straight line is 180°.
Check the picture below.
using a second for it, since it's a horizontal line, then say hmmm we'll use the y-intercept, or (0, 1), so the equation of a line that passes through (2,1) and (0,1)
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
