The hypotenuse of right triangle is 122 meters long. the difference between the other two sides is 98 meters. find the missing sides. use exact values.

The length of the Base = 22 meters

Length of the perpendicular is = 120 meters

Step-by-step explanation:

The length of the hypotenuse =  122 m

Let base side of the triangle = k meters

So, the perpendicular  side of the triangle is  =  98 + k

Now, by PYTHAGORAS THEOREM , in a right angled triangle:

⇒ Here,

Also, by Algebraic Identity:

or,  

or,

Solving the equation:

⇒ (k+120)(k-22) = 0  , or (k+120) = 0 , or (k-22) = 0

or, either  k = -120 , or k = 22

As k is the length of the side, so k ≠  - 120

Hence, the length of the base = k = 22 meters

and the length of the perpendicular is k + 98 = 120 meters

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages