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Phoenix [80]
2 years ago
5

Write the equation of a line perpendicular to the line: y=−5/2x+4 that goes through the point (-6, 0).

Mathematics
1 answer:
NikAS [45]2 years ago
3 0

Step-by-step explanation:

the line given slope = x coefficient = -5/2

Perpendicular slopes must be opposite reciprocals of each other:  m1 * m2 = –1

new slope = 2/5

line equation formula = y = mx+ b

m = slope

y= 2/5x + b

from the point given (-6,0)

x = -6

y = 0

0= -12/5 + b

b = +12/5

line equation =

y =  \frac{2}{5} x +  \frac{12}{5}

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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

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π = 3.14

r = radius = 3.2mm

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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

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To calculate the volume of a rectangular prism we have to use the following formula:

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we replace the values that ​​we know        

v = 14.23mm * 10.08mm * 3.3mm

v = 473.347mm³

we add the volumes

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v = 590.707

round to the neares hundredth

v = 590.707 mm³ = 590.71 mm³

The volume of the figure is 590.71 mm³

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