Answer:
18550 - 10x
Step-by-step explanation:
Given that :
Cost of admission in Advance = $25
Cost of admission at the door = $35
Number of people who paid in advance = x
Total number of tickets sold = 530
Total amount made from ticket sales will be :
(Number who paid in advance * cost) + (number who paid at the door * cost)
(25 * x) + (530 - x) * 35
25x + 18550 - 35x
18550 - 10x
Answer:
D and E
Step-by-step explanation:
D) Δ ABC , ΔDCB
AB = DC
BC = CB
AC = DB
Side Side Side congruent.
E)Δ ABC , ΔDCB
AB = DC
∠D = ∠A
AC = DB
Side Angle Side congruent.
Answer:
k = 13
Step-by-step explanation:
Matrix is;
A =
[2 -5 9]
[-1 3 -5]
[ 7 1 k ]
Number of unknowns is less than the rank of 2. Thus, the determinant has to be zero for us to find k.
Thus, we have;
2((3 × k) - (-5 × 1)) -(-5)((-1 × k) - (-5 × 7)) + 9((-1 × 1) - (7 × 3)) = 0
Simplifying further gives;
2(3k +5) + 5(-k + 35) + 9(-22) = 0
6k + 10 - 5k + 175 - 198 = 0
k - 198 + 185 = 0
k - 13 = 0
k = 13
The surface area is given by:
S.A = 2 * (area of the top) + 2 * (area of the front) + 2 * (area of one side)
Substituting values we have:
S.A = 2 * (20) + 2 * (16) + 2 * (24)
S.A = 120 cm ^ 2
Answer:
The surface area of the rectangular prism is:
S.A = 120 cm ^ 2
