Answer:
9.4cm
Step-by-step explanation:
by pythagoras theorem,
a^2 + b^2 = c^2
5^2 + 8^2 = c^2
c^2 = 89
c = √89 = 9.433981 ≈ 9.4
Answer:
950.00
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
To inverse a function, switch the y for x and x for y and solve for y
f(x) = 2/(x-3)
y = 2/(x-3)
x = 2/(y-3)
x*(y-3) = 2
y-3 = 2/x
y = 2/x-3
y = 2/x - 3x/x
y = 2+3x/x
[D]
Answer:
The answer is
A. 529.66 ft²
Step-by-step explanation:
The picture of the composite figure is not given,
But find attached the figure.
The composite consists of two solid shapes
1. Cylinder
2. Rectangular prism
To solve for the total surface area of the composite
Let us solve for the total surface area of the cylinder
Given radius r= 4ft
Height h=5ft
A= πr²+2πrh-πr²
N/B we subtracted the second circular surface since it is joined to the rectangular prism
A= 3.142*4²+2(3.142)*4*5-3.142*4²
A= 50.272+125.68-50.272
A=125.68ft²
We proceed to find the area of the rectangular prism
We know that the prism has 6 sides
Hence area
A= 2(11*6)+ 2(8*6)+2(11*8)
A= 132+96+176
A= 404ft²
Hence total surface area is
404+125.68= 529.68ft²
x will represent the number of tickets.
y will represent the fixed fee given by the ticket agency
6x + y = 135
3x + y = 75
To solve, we can use the process of elimination by multiplying the second equation by -2 so that 6y will cancel:
-6x - 2y = -150
+6y + y = 135
Now we simplify by adding/subtracting:
-y = -15 or y = 15
Plug the value of y into any of the two equations and solve for x. I will use the second equation:
3x + 15 = 75
3x = 60
x = 20
To set this up in slope intercept form (y = mx + b), we need to identify what m and b are.
m is x because it is not a fixed number, and b is y because it is a fixed number (price of “fixed” fee). This brings us to y = 20x + 15
