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Deffense [45]
3 years ago
5

HELP PLZ ASAP ITS DUE TOMORROW:(((( HELP

Mathematics
1 answer:
iVinArrow [24]3 years ago
6 0

Answer:

em i think the answer would be 44

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A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

3 0
3 years ago
HURRY PLEASE!!!!!
RideAnS [48]
First we need to find the radius of the cylindrical tree trunk if the circumference C=4 feet: C=2rπ, r=4/(2π)=2/π. Now we find the volume V: V=r^2π*h, where h=20 feet is the height. So we input the numbers: V=(2/π)^2*π*20=(4/π²)*π*20. π in the nominator and the denominator cancel out: V=(4/π)*40=80/π. The volume of the cylindrical tree trunk is V=80/π feet^3
7 0
3 years ago
Sorry to be annoying but there's another question i don't understand... :)
miskamm [114]

Answer:

8.20

Step-by-step explanation:

6.15*4=24.6

since they only bought 3 tickets because of the deal

you divide 24.6 by 3 and get 8.20

3 0
3 years ago
Read 2 more answers
joe and his mother built a deck in the shape of a rectangle. the width of the deck is 12 feet. the length of the diagonal is 20
jek_recluse [69]
12 x 20= 240
The area is 240 ft.^2
8 0
3 years ago
Which of the following tells how to change a measurement from millimeters to meters?
Natali [406]

Answer:

1 millimeter = 0.001 meter

Step-by-step explanation:

Divide the length value by 1000

Ex: 4 millimeter = 0.004

8 0
3 years ago
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