Find A cup(B cap C) . A = \{1, 4, 6, 7\}; B = \{3, 4, 5\}; C = \{2, 4, 8\}; \{1, 4, 6, 7\} 4 } \{1, 2, 3, 4, 5, 6, 7, 8\}
Inessa05 [86]
The only common element between B and C is 4, so B ∩ C = {4}.
4 is also already contained in A, so B ∩ C is a subset of A, and thus
A U (B ∩ C) = A = {1, 4, 6, 7}
That is expanded if im not mistaken LEL
Answer: 70
Step-by-step explanation:
easy
Base pay + (rate * sales) = total pay
b + r(400) = 388
b + r(700) = 454
b = 388 - 400r
now sub into 2nd equation
388 - 400r + 700r = 454
-400r + 700r = 454 - 388
300r = 66
r = 66/300
r = 0.22...22% is the rate
substitute for r
b + 400r = 388
b + 400(0.22) = 388
b + 88 = 388
b = 388 - 88
b = 300
so ur equation is : y = 0.22x + 300
y = 0.22(2600) + 300
y = 572 + 300
y = 872......so her salary when selling $2600 worth of stuff is $872
we are given the expression csc (2 pi / 3 ) and is asked to evaluate the expression. According to the trigonometric identities, the inverse of cosecant (CSC) is sine (sin) function. hence using the calculator in radians mode, sin 2pi/3 is equal to 2/sqrt 3. Taking the reciprocal of the answer, the final answer is 2 sqrt3 over 3.
