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expeople1 [14]
3 years ago
11

What would the new point be If you rotated the point (3,-5) 270 clockwise.

Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

When you rotate a point 270 degrees clockwise (x, -y) becomes (-y, -x) so the answer would be (-5, -3).

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The actual speed of the plane with the wind:
v² = ( 150 + 50 · cos 45°)² + ( 50 · sin 45°)²
v² = ( 150 + 35.355 )² + 35.355²
v² = 34,356.467 + 1,249.976
v = √35,606.452
v = 188.7 mph
8 0
3 years ago
Which takes up a larger area: the flowers or the grass?
geniusboy [140]

Answer:

THE GRASS

Step-by-step explanation:

Because the grass takes up a larger area

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2 years ago
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3 years ago
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An airplane travels 6111 kilometers against the wind in 9 hours and 7911 kilometers with the wind in the same amount of time. Wh
natima [27]

Answer:

Speed of the plane in still air: 779\; {\rm km \cdot h^{-1}}.

Windspeed: 100\; {\rm km \cdot h^{-1}}.

Step-by-step explanation:

Assume that x\; {\rm km \cdot h^{-1}} is the speed of the plane in still air, and that y\; {\rm km \cdot h^{-1}} is the speed of the wind.

  • When the plane is travelling against wind, the ground speed of this plane (speed of the plane relative to the ground) would be (x - y)\; {\rm km \cdot h^{-1}}.
  • When this plane is travelling in the same direction as the wind, the ground speed of this plane would be (x + y)\; {\rm km \cdot h^{-1}}.

The question states that when going against the wind (v = (x - y)\; {\rm km \cdot h^{-1}},) the plane travels 6111\; {\rm km} in 9\; {\rm h}. Hence, 9\, (x - y) = 6111.

Similarly, since the plane travels 7911\; {\rm km} in 9\; {\rm h} when travelling in the same direction as the wind (v = (x + y)\; {\rm km \cdot h^{-1}},) 9\, (x + y) = 7911.

Add the two equations to eliminate y. Subtract the second equation from the first to eliminate x. Solve this system of equations for x and y: x = 779 and y = 100.

Hence, the speed of this plane in still air would be 779\; {\rm km \cdot h^{-1}}, whereas the speed of the wind would be 100\; {\rm km \cdot h^{-1}}.

3 0
1 year ago
The equation C = 30x+120 represents the cost of producing gaming chairs. The equation R = 50x represents the revenue generated b
ANEK [815]

Answer:

6 chairs

Step-by-step explanation:

The break even Point on gaming chairs can be expressed as :

Revenue = Cost

Revenue, R = 50x

Cost, C = 30x + 120

R = C

50x = 30x + 120

50 - 30x = 120

20x = 120

Divide both sides by 20

20x/ 20 = 120 / 20

x = 6

Hence, 6 chairs must be sold for the company to break even.

4 0
3 years ago
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