Atv screen is 41 cm long and 31 cm high. the length of the diagonal is closest to: a) 49 cm eliminate b) 51 cm c) 54 cm d) 48 cm

The length of the diagonal is closest to 51 cm.

Step-by-step explanation:

Given:

TV screen is 41 cm long and 31 cm high.

Now, to find the length of the diagonal.

By using pythagorean theorem:

leg 1 = 41 cm, leg 2 = 31 cm.

Let the hypotenuse be .

(leg 1)² + (leg 2)² = hypotenuse²

⇒

⇒

Using square root on both sides we get:

⇒

So, the length of the diagonal = 51.40 cm.

By rounding off of 51.40cm it becomes 51 cm.

Therefore, the length of the diagonal is closest to 51 cm.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2