The product of 3 and m

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

2 years ago

Identify the slope of the line<br> y=-4- 1/6x

NemiM [27]

Y=mx+b
y=-1/6x-4
slope= -1/6

6 0

2 years ago

Two number are in the ratio 5:6 and their sum is 44 .Use z as variable

Mariulka [41]

Answer:

the numbers are 20 and 24

Step-by-step explanation:

The numbers are in the ratio 5 : 6 = 5z : 6z , where z is a multiplier

The numbers sum to 44, thus

5z + 6z = 44

11z = 44 ( divide both sides by 11 )

z = 4

Hence

5z = 5 × 4 = 20

6z = 6 × 4 = 24

The two numbers are 20 and 24

8 0

3 years ago

Read 2 more answers

MN and KL are parallel. If JM = 6, MK = 12, and LN = 18, what is NJ?

Galina-37 [17]

6/12=X/18
Using the ratio of 18:12, you multiply 18/12 with 6, which equals 9.

Answer: NJ=9

5 0

3 years ago

Read 2 more answers

Can you help me by showing work on some of them please I’m having trouble

Xelga [282]

1, 1.84+2= 1.84+2.00=3.84
3, 0.90+2= 0.90+2.00 = 2.90
4, 0.5+5= 0.5+5.0=5.5

Do you want more?

6 0

2 years ago