-3 is your answer, for every 3 y-values, it increases 1 x-value. so that means our answer is -3.
Answer:
Perimeter = 101.496 cm
Step-by-step explanation:
draw line from point C that is perpendicular to line AD. Call that point E.
tan 43° = 16.7/ED
0.9325 = 16.7/ED
ED = 17.909 cm
sin 43° = 16.7/CD
0.6820 = 16.7/CD
CD = 24.487 cm
Perimeter = AB + BC + CD + ED + AE
Perimeter = 16.7 + 21.2 + 24.487 + 17.909 + 21.2 = 101.496 cm
Answer: Your answer will be (13/52)(12/51)(11/50)
The reason is because each card is not replaced so the number of cards with hearts, as well as the overall card number goes down.
Xavier charges the most per hour. I divided each of the allowances earned by the number of hours and his was the most.
Hope this helps;)
Answer:
13.695 m
Step-by-step explanation:
The assumption made here is that the boat/water interface is essentially frictionless, so that the center of mass of the system remains in the same place as the occupant of the boat moves around.
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We can find the sum of the moments of boat and child about the pier end:
(46 kg)(7.6 m) + (80 kg)((7.6 +9.6/2) m) = 1341.6 kg·m
After the child moves, the center of mass of boat and child is presumed to remain in the same place. If x is the new distance from the pier to the child, the sum of moments is now ...
46x +80(x-4.8)* = 1341.6
126x -384 = 1341.6
x = (1341.6 +384)/126 = 13 73/105 ≈ 13.695 . . . meters
The child is about 13.695 meters from the pier when she reaches the far end of the boat.
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* The center of mass of the boat alone is half its length closer to the pier than is the child, so is located at x-4.8 meters.
