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

x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x)  

= 3³ − 3×3

= 27 − 9

= 18