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Slav-nsk [51]
3 years ago
14

A plane flew 145km/h faster when it was flying with the wind than it would have flown with still air, if it’s speed with the win

d was 970km/h, find the speed of the plane in still air
Mathematics
1 answer:
pshichka [43]3 years ago
8 0

Answer:

Speed of plane in still air = 825 km/h

Step-by-step explanation:

Given:

Speed of plane with the wind is 145 km/h faster than what it would have with still air.

Speed of plane with wind = 970 km/h

To find speed of plane in still air.

Solution:

Let speed of plane in still air be = x km/h

Thus speed of plane with wind would be given as = (x+145) km/h

Speed of plane with wind is given =970 km/h

So, we have:

x+145=970

Solving for x.

Subtracting both sides by 145.

x+145-145=970-145

∴ x=825 km/h (Answer)

Thus, speed of plane in still air = 825 km/h

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(a^6b^1^2)^\frac{1}{3}

Distribute the exponent. Multiply the exponent of the term outside of the parenthesis by the exponents of the variable.

(a^6b^1^2)^\frac{1}{3}

a^6^*^\frac{1}{3}b^1^2^*^\frac{1}{3}

Simplify,

a^2b^4

2

Use a similar technique to solve this problem. Remember, a fractional exponent is the same as a radical, if the denominator is (2), then the operation is taking the square root of the number.

\frac{(a^5b^3)^\frac{1}{2}}{(ab)^-^\frac{1}{2}}

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