Order pairs (x,y)
A,(4,1)
B(-1,3)
C(-7,-4)
D(3,-2)
E(0,8)
Answer: 30 cm
Step-by-step explanation:
The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.
From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus
the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of
.
Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.
The ABKJ is a trapezoid so it's area is
. Thus the volume of the right prism is
. This gives us
, and thus h = 30 cm.
Answer:
No solutions.
Step-by-step explanation:
22 does not equal 81, so therefore no solutions.
Subtract 13 from both sides
-5x = -17 - 13
Simplify -17 - 13 to -30
-5x = -30
Divide both sides by -5
x = -30/-5
Two negatives make a positive
x = 30/5
Simplify 30/5 to 6
<u>x = 6</u>