Calculate the length of each path using the law of cosines:
AB = √(8^2 + 8^2 - 2*8*8*cos(36)
AB = 4.94 ft.
XY = √(8^2 + 8^2 - 2*8*8*cos(79)
XY = 10.18 ft.
ZY = √(8^2 + 8^2 - 2*8*8*cos(65)
ZY = 8.60 ft.
XY is longer than ZY and ZY is longer than AB
The first choice is correct.
Answer:
(-239.4, 657.8) km/h
Step-by-step explanation:
Measured CCW from the +x axis, the angle at which the airplane is traveling is 110°. Then the (x, y) components of the velocity vector are ...
(700 km/h)(cos(110°), sin(110°)) ≈ (-239.4, 657.8) km/h
9514 1404 393
Answer:
x ∈ (-∞, 9) U (-1, ∞)
Step-by-step explanation:
Get the absolute value by itself. Do that by multiplying by 4.
|3x +15| > 12
This resolves to two cases:
<u>3x +15 > 12</u>
x +5 > 4 . . . . divide by 3
x > -1 . . . . . . .subtract 5
<u>-(3x +15) > 12</u>
x +5 < -4 . . . . divide by -3
x < -9 . . . . . . . subtract 5
Then the solution in interval notation is ...
x ∈ (-∞, 9) U (-1, ∞)
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