3 years ago

Good morning please help me im in desperate need thxs

Mathematics

1 answer:

Marat540 [252]3 years ago

7 0

Answer:

Should be 4/7

Hope it helps have a good day!

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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

A factory produced 8,500 soccer balls last

Marysya12 [62]

Answer:

Step-by-step explanation:

8500 x .09 = 765

8500 + 765 = 9265

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3 years ago

50 POINTS HELP ASAP

natta225 [31]

Its 10 points not 50 Gzz

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3 years ago

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If total length of boundary of a circle is 220m. find its diameter

Aleonysh [2.5K]

Answer:

3850m^2

Step-by-step explanation:

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Mrs. porter's cat weighs 6kg. her dog weighs 22kg more than her cat. what is the total weight of her cat and dog?

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Cat= 6kg
Dog = 6kg + 22kg
Total weight = 6kg + 6kg + 22kg
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2 years ago