In the given right triangle, find the missing length. 42 m 41 m 40 m 43 m

The missing length is 41m

Step-by-step explanation:

To find the missing length c, we simply use the Pythagoras thereon.

The Pythagoras theorem states that: in a right-angle triangle,

opposite²   +  adjacent² =  hypotenuse²

In this case

opposite = 40

adjacent = 9

hypotenuse = c (It is the missing length)

Applying the Pythagoras theorem to this;

opposite²   +  adjacent² =  hypotenuse²

          40²    +     9²       =      c²

We will now go ahead and simplify

40²    +     9²       =      c²

        1600    +    81      =  c²

        1681      =  c²

To get the value of c, we will simply take the square root of both-side

√ 1681      = √ c²

      41    =   c

Therefore the missing length is 41 m

351°f

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).