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diamong [38]
3 years ago
13

Find Value of x and TS if T is between R and S.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

I don't know the answer I need help on it as well

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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
1 point
Firdavs [7]

9514 1404 393

Answer:

  (a)  2/100

Step-by-step explanation:

To determine the value of a digit, set all other digits to zero. Your digit has a value of ...

  0.020  . . .  two hundredths = 2/100

5 0
3 years ago
Read 2 more answers
Simplify.<br> x2 + 2x - 15<br> x².3x
yaroslaw [1]
Use photo math it helps
7 0
3 years ago
Eric drove 113 miles on Monday. On Tuesday, he drove 33 miles less than Monday. How far did he drive both days?
Marat540 [252]
He drove 193 mile you subtract 33 from 113 which is 80 then add 80 and 113 together and you get 193
5 0
3 years ago
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The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. What is
Advocard [28]

Answer:

15

Step-by-step explanation:

3 0
3 years ago
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