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2 years ago

With a tail wind, a small aircraft can fly 1200

Mathematics

1 answer:

Irina-Kira [14]2 years ago

3 0

Answer:

total distance= 12000+12000=24000

total time = 5+6=11

average speed of plane= 24000/11

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xenn [34]

Answer:

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Step-by-step explanation:

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2 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

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This is a parabola (0,2.5) and turns upside down.

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2 years ago

2 (01.05)

lord [1]

Answer:

y +2 = 4(x -3)

Step-by-step explanation:

Point-slope form of the equation of a line with slope m through point (h, k) is ...

y -k = m(x -h)

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3 years ago

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madam [21]

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3 years ago

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PSYCHO15rus [73]

Answer:

cos

( 390 ) − 4 cot ( − 45 ) sin ( 330 )

Step-by-step explanation:

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2 years ago