Let 0 represent the smaller of the acute angles of a right triangle such that tan0= 0.75. The longer leg of the right triangle measures 10 feet. What is the length of the shorter leg?

Length of shorter leg = 7.5 ft

Step-by-step explanation:

It is given as,

tan 0 = 0.75

tan ratio is given as opp/ adj

Let us consider the opp. side is the shorter leg and the adj side is the longer leg.

tan 0 = Opp/ adj = x/ 10

x/10 = 0.75

x = 0.75 × 10 = 7.5 ft

So length of the shorter leg is 7.5 ft.

hi how are you doing today? if you ever need just tell me

step-by-step explanation:

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