The diagram shows a right triangle with legs that measure 4 and 7. what is the value of csc θ, sec θ, and  cot θthe bottom number is 7 and the right side number is 4

Calculate the hypotenuse( h ) using Pythagoras' identity

h =√(4² + 7²) = √(16 + 49) = √65

sinΘ = 4 / √65  ⇒ cscθ = √65 / 4

cosθ = 7/ √65 ⇒ secθ = √65 / 7

tanθ = ⇒ cotθ =

the 3rd on is correct

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