A right triangle has leg lengths that are 5 meters and 6 meters, respectively. Which of the following lengths, in meters, is closest to that of the hypotenuse of the right triangle? answer

7.8 or 8

Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.

5^2 is 25 and 6^2 is 36

Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.

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).

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)