67.720541 multiply 19 by 3.564239
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:
c = sqrt( 29x^2 + 44x + 52)
Step-by-step explanation:
This is an application of the Pythagorean theorem
c = sqrt(a^2 + b^2)
a = 2x - 4
b = 5x + 6
c = sqrt( (2x - 4)^2 + (5x + 6)^2 ) Substitute and expand
c = sqrt( 4x^2 - 16x + 16 + 25x^2 + 60x + 36) Collect like terms
c = sqrt( 4x^2 + 25x^2 - 16x + 60x + 16+36) Combine the like term pairs.
c = sqrt( 29x^2 + 44x + 52)
This does not factor into anything very nice.
For this question you should know that 2/3 is equal to 20/30 so now you can see that 21/30 is greater than 20/30 :)))
i hope this is helpful
have a nice day
