Explanation

Degree of a term = sum of the powers of variables in that term.

Highest degree term is 8x²y³ with degree 2 + 3 = 5.

Explanation

Geometric Mean = ∛(2 × 4 × 8)

= ∛64

= 4

Explanation

The sentence gives advice or recommendation, which is best expressed using "should."

Correct sentence: Sonia should practice much if she wants to take part in the race.

Explanation

Decaying involves the breakdown of organic matter into simpler substances through chemical reactions.

It alters the original composition of the material, which is a hallmark of a chemical change.

Explanation

Work done = F × d × cos(θ); when angle θ = 180°, cos(180°) = -1.

So, if force and displacement are antiparallel (opposite), the work is negative.

Explanation

She told the doctor that she would be going to Murree the next day.

"Said to" changes to "told" and "will" changes to "would" in indirect speech.

"Tomorrow" becomes "the next day" as per rules of reported speech.

Explanation

For the X and Y components of a force to be equal:

Fx = Fy

Given F = Fx i + Fy j = F cos(θ) i + F sin(θ) j

Fx = F cos(θ)

Fy = F sin(θ)

For Fx = Fy:

F cos(θ) = F sin(θ)

cos(θ) = sin(θ)

tan(θ) = 1

θ = 45°

Explanation

The area of a triangle inscribed in a circle is given by:

Area = abc/4R

Explanation

Kinetic energy (K) is related to momentum (p) by K = p² / 2m. If momentum increases by 20%, the new momentum p' = 1.2p.

The new kinetic energy K' = (p')² / 2m = (1.2p)² / 2m = 1.44p² / 2m = 1.44K.

The percentage increase in K.E is ((K' - K) / K) × 100 = ((1.44K - K) / K) × 100 = 44%.

Explanation

A D.C. generator uses split rings (commutator) to reverse the current direction in the coil every half rotation.

This ensures that the output current flows in one direction (direct current).