The sail of a boat is in the shape of a right triangle, as shown below: which expression shows the length, in meters, of the base of the sail?

Step-by-step explanation:

Let x represent the base of the sail.

We have been given that the sail of a boat is in the shape of a right triangle. We are asked to find the expression that shows the length, in meters, of the base of the sail.

We can see from our given triangle that opposite angle to the base of the sail is 50 degrees and hypotenuse is 7 meters.

We know that sine relates the opposite side of right triangle to hypotenuse and cosecant relates hypotenuse of right triangle to opposite.

Therefore, the expression represents the length in meters, of the base of the sail.

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!