Answer:
32.9 units
Step-by-step explanation:
p/sinP = r/sinR
p = sinP × r/sinR
p = sin(64) × 21/sin(35)
p = 32.9069916
Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
Answer:
(C)Yes, because P(M) ∙ P(N) = P(M ∩ N)
Step-by-step explanation:
Two events A and B are independent if P(A)P(B)=P(A ∩ B)
Given events A and B such that:
P(A) = 0.3, P(B) = 0.25, P(A ∪ B) = 0.425, and P(A ∩ B) = 0.075
- P(A)P(B)=0.3 X 0.25 =0.075
- P(A ∩ B) = 0.075
Since the two expression above gives the same answer, they are independent.
<u>The correct option is C.</u>
