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3 years ago

15

A plane flies 630 miles with the wind in the same time that it takes to fly 455 miles against the wind. If this plane flies at t

he rate of 270 mph in still air what is the speed of the wind

1 answer:

MatroZZZ [7]3 years ago

5 0

The speed of the windo is 217 mph in still air

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Which is the least positive integer that should be multiplied with 2 × 2 × 2 × 3 so that we get

Elan Coil [88]

Answer:

3

Step-by-step explanation:

In order to have a perfect square you have to have at least two prime factors, and since three is quite clearly not in a pair, the answer is three.

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2 years ago

A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes thro

pshichka [43]

Answer:

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

Step-by-step explanation:

A road is perpendicular to a highway leading to a farmhouse d miles away.

An automobile passes through the point of intersection with a constant speed $\frac{dx}{dt}$ = r mph

Let x be the distance of automobile from the point of intersection and distance between the automobile and farmhouse is 'h' miles.

Then by Pythagoras theorem,

h² = d² + x²

By taking derivative on both the sides of the equation,

$(2h)\frac{dh}{dt}=(2x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=(x)\frac{dx}{dt}$

$(h)\frac{dh}{dt}=rx$

$\frac{dh}{dt}=\frac{rx}{h}$

When automobile is 30 miles past the intersection,

For x = 30

$\frac{dh}{dt}=\frac{30r}{h}$

Since $h=\sqrt{d^{2}+(30)^{2}}$

Therefore,

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+(30)^{2}}}$

$\frac{dh}{dt}=\frac{30r}{\sqrt{d^{2}+900}}$

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3 years ago

PLZZZZZZZZZZZZZZZZ HELP

Slav-nsk [51]

Answer:

The first box in the girl row is 18, the second one in the boy row is 8, and the bottom one is also 18.

Step-by-step explanation:

To get 81 to 9, you have to divide by 9, which means you have to do the same to 72. You get the ration 9 to 8, 9 being girls and 8 being guys. Then to get from 8 guys to 16, you have to multiply by 2, which means you do the same to 9 and get the answer of 18 girls. Hope this helps :)

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3 years ago

John received $50.00 from his aunt for his birthday and wants to buy a new video game with the money. The total cost of the v

harkovskaia [24]

Answer:

21.44

Step-by-step explanation:

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2 years ago

Read 2 more answers

What are the zeros of f(x)=x^2+x-20?

zzz [600]

F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)

f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4

Answer: C. x = -5 and x = 4.

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3 years ago