Answer:
7986 m²
Step-by-step explanation:
The figure is a trapezium with area (A) calculated as
A = 
h (a + b)
where h is the height and a, b the parallel bases
Here h = 66, a = 102 and b = 140, thus
A = × 66 × (102 + 140) = 33 × 242 = 7986 m²
Let
x = cost of a ticket for a senior
y = cost of a ticket for an adult
z = cost of a ticket for a student.
The first student buys 2 senior, 1 adult, and 2 student tickets for $51.
Therefore
2x + y + 2z = 51 (1)
Th second student buys 1 adult and 5 student tickets for $5.
Therefore
y + 5z = 55 (2)
The third student buys 2 senior, 2 adult, and 7 student tickets for $75.
Therefore
2x + 2y + 7z = 75 (3)
Answer:
The system of equation for determining x, y, and z is
2x + y + 2z = 51
y + 5z = 55
2x + 2y + 7z = 75
Warnng: The system of equations does not have a solution.
Answer:
see below
Step-by-step explanation:
The graph has a discontinuity at x=0, where the function is defined as (0, 4), not (0, 0).
Step-by-step explanation:
x-y^x-y
2-(-2)^2-(-2)
2-(-2)^2+2
2-(-2)^4
2-(16)
=-14
Answer:
11.820 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...
sin(52°) = height/(15 ft)
Multiplying by the denominator gives you ...
height = (15 ft)·sin(52°) ≈ 11.820 ft
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You may need to round this number appropriately.
