(sin^2x+tan^2x+cos^2x)/(sec^2x) What trig identities are used in solving this as well.

The main one is the Pythagorean identity,

sin²(x) + cos²(x) = 1

By dividing both sides by cos²(x), you get the tan-sec variant:

sin²(x)/cos²(x) + cos²(x)/cos²(x) = 1/cos²(x)

tan²(x) + 1 = sec²(x)

since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x).

So the given expression reduces to

(sin²(x) + tan²(x) + cos²(x)) / sec²(x)

= (1 + tan²(x)) / sec²(x)

= sec²(x) / sec²(x)

= 1

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: