Here is you're answer:
In order to get you're answer you need to find the common denominator then add.

- Find the common denominator:


- Simplify:
-


Therefore you're answer is option D "13/24."
Hope this helps!
Answer:
Part A) 
Part B) 
Part C) 
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the length side AB (hypotenuse of the right triangle)
Applying the Pythagorean Theorem

substitute the given values



simplify

step 2
Find sin(A)
we know that
In the right triangle ABC
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values

step 3
Find tan(B)
we know that
----> by TOA (opposite side divided by adjacent side)
substitute the values

step 4
Find sec(A)
we know that

----> by CAH
so

substitute the values

simplify

There is a profit of $39.7.
It is given that there 100 tickets costing $10 per ticket.
You must look first for the probability of the 4 prizes which are $475, $195, $30, and no prize.
P ($475 prize) = 1/100 or 0.01
P ($95 prize) = 2/100 or 0.02
P ($30 prize) = 4/100 or 0.04
P (No prize) = 100/100 – 1+2+4/100 =93/100 .93
Expected gain or loss is computed by: (P(x)* n)
E= (475-10)*.01 + (95-10)*0.02 + (30-10)* 0.04 + (-10)*.93
= 46.5 + 1.70 + 0.8 – 9.3
E = 39.7
There is a profit of $39.7.
To know more about probability visit: brainly.com/question/13604758
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Angie- .33
Blake- .6
Carlos- .7
Daisy- .5
Angie ran the least, and Carlos ran the most. Mark Brainliest if it helped!
Answer:
(x-2)(x^2+1)
Step-by-step explanation: