Answer:
The question is kinda funny. I think the graph isn't correct cos a and b coordinate ain't right
Step-by-step explanation:
The equation of line A:
y-1=0, 5x-3
y=0, 5x-2. Hence its gradient is 0,5
For line B, its you intercept is -8, so y=mx-8.
When x = -4, y=-4m -8 =0 as shown in the graph. This means that m = -2.
Since |-2| > |0, 5|, line B is steeper than line A.
The perimeter for the rectangle is 64.5m.
The parabola is opens upward.
a = (8 – 5)
= 3
Using the standard form:
(x – h)^2 = 4a(y – k)
(x -5)^2 = 12( y – 4)
In general form
x^2 -10x +25 =12y – 48
x^2 -10x -12y + 73 =0
Answer:
The volume of the figure is 590.71 mm³
Step-by-step explanation:
To solve this problem we have to find the volume of the cylinder and the volume of the rectangular prism and add them
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 3.65mm
π = 3.14
r = radius = 3.2mm
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (3.2mm)²) * 3.65mm
v = (3.14 * 10.24mm²) * 3.65mm
v = 32.1536² * 3.65mm
v = 117.36mm³
To calculate the volume of a rectangular prism we have to use the following formula:
v = volume
w = width = 14.23mm
l = length = 10.08mm
h = height = 3.3mm
v = w * h * l
we replace the values that we know
v = 14.23mm * 10.08mm * 3.3mm
v = 473.347mm³
we add the volumes
v = 117.36mm³ + 473.347mm³
v = 590.707
round to the neares hundredth
v = 590.707 mm³ = 590.71 mm³
The volume of the figure is 590.71 mm³