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Explanation

Detailed Answer

One light year is equal to the distance that light travels in one year

(it is about ten trillion kilometers or six trillion miles).

A light year is a unit of distance.

The distance light travels in one year is known as light year.

A light-year is a unit of length used to express astronomical distances and measures about 9.46 trillion kilometers (9.46 x 1012 km) or 5.88 trillion miles (5.88 x 1012 mi)

Explanation

The sum of the exterior angles of any polygon is always 360 degrees. 

As for the interior angles, the sum of all the interior angles in a polygon is equal to: (n-2) x 180

Explanation

The formula for the sum of interior angles of a polygon with n sides is 180(n - 2).

It comes from dividing the polygon into (n - 2) triangles, each having 180° total.

Explanation

Let's assume the maximum marks in each subject are 100. Then, the student's total marks in the three subjects are:

75 + 80 + 85 = 240

If the marks of another subject are added, the total marks become:

240 + x (where x is the marks obtained in the fourth subject)

The average percentage cannot be less than 60% because:

• If the student scores 0 in the fourth subject, the total marks would be 240, and the average percentage would be (240/400) x 100% = 60%.
• If the student scores any marks in the fourth subject, the average percentage would be higher than 60%.

Explanation

 The formula for the nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)d, where: 

aₙ is the nth term of the sequence

a₁ is the first term of the sequence

n is the term number (e.g., 1st term, 2nd term, etc.)

d is the common difference between consecutive terms

For example, if the first term (a₁) is 2 and the common difference (d) is 3, then the 5th term (a₅) would be calculated as follows: 

a₅ = 2 + (5 - 1)3 = 2 + 4 * 3 = 2 + 12 = 14 

Explanation

This is an arithmetic sequence with common difference of 3.

The first element is 1, and total elements are 101. So, a1 = 1, d = 3 and n = 101.

Therefore, by using the formula of nth term of an arithmetic sequence, we have 301 .

Explanation

If he works hard, he will pass the examination

This is a first conditional sentence

"If + present simple, will + base form of the verb". 

Explanation

R = xS⁴  

When S = 5, R = 6  

So,  

6 = x × (5)⁴ = x × 625  

⇒ x = 6 / 625

Now find R when S = 8:  

R = (6 / 625) × (8)⁴ = (6 / 625) × 4096  

= 24576 / 625 = 39.3216

Explanation

The best choice to replace the word "disgust" in the sentence "The doctor grounded his teeth in disgust" is displeasure.

disgust نفرت

displeasure ناراضگی

Explanation

The poet hears thirsty leaves drinking rainwater and sharing this blessing with the poor leaves beneath.