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3 years ago

11. The price of a new

Mathematics

1 answer:

Studentka2010 [4]3 years ago

6 0

Answer:

ur name hshwvwhvwhwvqhqvavajavavnakqkqnqjq he wjwbajnsjsnsj and

ajjnwjnwjwnwnabbanans and s abs bansnwnwbba

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A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

If 35% of 300 children had zero cavities, how many children was that???

igomit [66]

Answer:

105 children

Step-by-step explanation:

35/100×300

105

6 0

3 years ago

40% of the students in a school band play brass instruments while 4 students play strings instruments

MaRussiya [10]

10 students (brass)=40% of band
4 students (strings)=16% of band
? students (other)=44% rest of band
14/56%=?/44%
(cross multiply to find ?){don't forget to turn percents into decimals}
?=11
There are 25 students in total in the band.

5 0

4 years ago

2 minus twice a number

WITCHER [35]

Answer:

2 - 2n

Step-by-step explanation

We can use n for the number.

2 - 2(n)

2- 2n

6 0

4 years ago

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40 pts!! A triangle has side lengths 15 cm, 20 cm, 36 cm. Is the triangle a right triangle?

Leokris [45]

Answer:

no its a scalene triangle

Step-by-step explanation:

7 0

3 years ago

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