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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time

d1i1m1o1n [39]

Answer:

a) $s=\sqrt{1+d^2}$

b)d(t)=500t

c) $s(t) =\sqrt{1+250000t^2}$

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

$Hypotenuse^2=Perpendicular^2+Base^2$

$s^2=1^2+d^2$

a) $s=\sqrt{1+d^2}$

(b) Express d as a function of the time t (in hours) that the plane has flown.

$distance = speed \times time$

d(t)=500t

(c) Use composition to express s as a function of t.

$s(t) =\sqrt{1+d^2}$

using b

$s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}$

6 0

3 years ago

Can someone help me with this ASAP?! Please and thank you!!

tamaranim1 [39]

Answer:

the 1st answer is correct

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The drama club spent $450 on tickets and buses for a field trip to the theater. 15 members of the drama club attended the field

guajiro [1.7K]

Answer: 525

Step-by-step explanation:

450+15+60=525

8 0

2 years ago

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Write an equation to solve this problem: Twenty-four is 25 percent of what number? Find the answer .

Ghella [55]

24 times 100 then divide that by 25

6 0

2 years ago

Find the product 6x500=6x blank hundreds

grandymaker [24]

500? If you're trying to find x...

4 0

3 years ago