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
Answer:
Step-by-step explanation:
(3x - 1)(3x - 4) = 9x^2 - 15x + 4
(x + 2)(9x^2 - 15x + 4) = 9x^3 - 15x^2 + 4x + 18x^2 - 30x + 8
9x^3 + 3x^2 -26x + 8 is the solution
I believe the answer is
7x^3-2x^2-5
Answer: 28 cm
Step-by-step explanation:
x - the length of the shorter piece
2x - the length of the longer piece
Together they are 42 cm long.
Compose te equation:
2x + x = 42
3x = 42
x = 14 cm
The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).
Two times longer than 14 is 28. The longer piece is 28 cm.
