Explanation

To find the distance traveled by the rider, we need to calculate the arc length:

Given:

Radius (r) = 49 meters

Angle (θ) = 150°

First, convert the angle to radians:

θ = 150° * (π / 180)

= 150 * π / 180

= 5π/6 radians

Now, calculate the arc length (s):

s = r * θ

= 49 * (5π/6)

= 49 * 5 * 3.14159 / 6

≈ 128.33 meters

Explanation

Given:

Z1 = 2 - i

Z2 = 3 + i

Product of Z1 and Z2:

Z1 * Z2 = (2 - i) * (3 + i)

= 6 + 2i - 3i - i²

Since i² = -1,

= 6 - i + 1

= 7 - i

Explanation

Polyester is made from Polyethylene Terephthalate (PET), a synthetic polymer.

It is widely used in fabrics, plastic bottles, and packaging materials.

Explanation

A comma is correctly placed to separate two independent clauses in a compound sentence.

The comma helps to clarify that these are two related but separate ideas.

Explanation

A conjunction connects two clauses or ideas; here, "because" links the reason for running fast.

It shows cause and effect between "He ran fast" and "he was late."

Explanation

لفظ "صوم" کا مطلب ہے کسی چیز سے رکنا یا باز رہنا، خاص طور پر روزہ رکھنے کے دوران کھانے، پینے اور دیگر مادی خواہشات سے۔

اس کا استعمال عموماً رمضان کے روزوں کے حوالے سے ہوتا ہے۔

Explanation

Standard 400-meter oval tracks typically have 8 lanes for athletes.

Each lane is carefully measured to ensure fairness in races.

Explanation

When the receiver is close, only minimum strength is needed to maintain control and accuracy.

Using too much force could make it hard for the receiver to catch or control the pass.

Explanation

In a straightforward roll, the back of the head generally touches the ground first as the body rotates.

The movement helps to distribute the force evenly to avoid injury.

Explanation

In races, the winner is determined when their chest crosses the finish line ribbon first.

Arms, hands, or feet crossing first do not count unless the chest has crossed.