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2 years ago

Did you ever made a risky challenge?why?how did you handle it?

1 answer:

4 0

I made a risky challenge because I wanted to make a joke. I handled it by just taking it truthfully and just say that it was a joke.

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A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

2 years ago

27.64x3 estimate product

ki77a [65]

If you round up the 27.64 to 28 and then multiply it bye 3 it eaquals 84

6 0

2 years ago

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What is the percentage of cacao in hot chocolate which is made of 480 grams of milk and 20 grams of cacao?

galina1969 [7]

Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.

We need to determine the percentage of cacao in hot chocolate.

<u>The percentage of cacao:</u>

The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.

Total grams of hot chocolate = Grams of Milk + Grams of cacao

Total grams of hot chocolate = 480 + 20 = 500 grams.

Thus, the total grams of hot chocolate is 500 grams.

Now, we shall find the percentage of cacao.

The percentage of cacao is given by

$\frac{100}{500}\times 20$

Simplifying, the values, we get,

$\frac{2000}{500}=4\%$

Thus, the percentage of cacao is 4%

6 0

2 years ago

What’s the surface area 6ft, 4.5ft, 8ft, 6ft

umka21 [38]

Answer:

i need more information like what is the length width etc.

Step-by-step explanation:

6 0

2 years ago

Exam Guidelines

pashok25 [27]

Answer:

Answer is B. Y=31

Step-by-step explanation:

4y + 228 = 352

(4)(y) = 352 -228

y = 124/4

y = 31

4 0

1 year ago

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