Part A)
The table doesn't represent y as a function of x.
Why? <span>One reason is that 1 or 3 is the first element in more than one ordered pair.
Part B)
f(x) = 10x + 20
f(120)= 10*120 + 20 = 1200 + 20 = 1220
</span><span>f(120) represents cost of boating for 120 hours.</span><span>
</span>
Answer:
$12.50
Step-by-step explanation:
c is cat food d is dog food
3c + 4d = 43
3c + 6d = 54
subtract those to get
2d = 11
d = 5.50
3c + 2d = 3c + 22 = 43
3c = 21
c = 7
c+d = 7 + 5.50 = 12.50
<span>unfairly prejudiced for or against someone or something.
</span>
The volume of a pyramid is the one-third of the product of the area of the base and the height of the pyramid.
V = (1/3)Ah
where
A = area of base
h = height of the pyramid
The base of this pyramid is a hexagon.
The area of a regular hexagon is
A = (1/2)pa,
where
p = perimeter of the base
a = apothem
The perimeter of the hexagon is 6 * 6 ft = 36 ft.
The apothem is shown in the figure and is 5.2 ft.
Area of base: (1/2)pa = (1/2)(36 ft)(5.2 ft) = 93.6 ft^2
Volume = (1/3)Ah = (1/3)(93.6 ft^2)(8 ft)
Volume = 249.6 ft^3
Answer: 250 ft^3
Answer:
299.99 miles
Step-by-step explanation:
Since the plane traveled due west,
The total angle is 49.17 + 90
Represent that with θ
θ = 49.17 + 90
θ = 139.17.
Represent the sides as
A = 170
B = 150
C = unknown
Since, θ is opposite side C, side C can be calculated using cosine formula as;
C² = A² + B² - 2ABCosθ
Substitute values for A, B and θ
C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17
C² = 22500 + 28900 - 51000 * Cos 139.17
C² = 51400 - 51000 (−0.7567)
C² = 51400 + 38,591.7
C² = 89,991.7
Take Square Root of both sides
C = 299.9861663477167
C = 299.99 miles (Approximated)
Hence, the distance between the plane and the airport is 299.99 miles
