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2 years ago

Write the slope-intercept form of the equation for

Mathematics

1 answer:

taurus [48]2 years ago

8 0

Answer:

y=-8

Step-by-step explanation:

First find the slope which is rise over run which equals (y2-y1)/(x2-x1)

(-8-(-8))/(9-(-2))

(-8+8)/(9+2)

0/11

slope = 0

Now you have the slope of 0. You can plug in one of the given point (x,y) to find b

-8=0(9)+b

-8=b

Combine everything

y=0x-8

y=-8

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Find the volume of the solid where the cone and half sphere are hollow. Use 3.14 for П ; height is 19 in; radius is 5 in. Round

Vera_Pavlovna [14]

Volume of Solids

The volume of the solid is 758.83 in³

Step-by-step explanation:

Given that the cone and half sphere is hollow

The volume of the cone = $1/3 \pi r^{2} h\\$

The Volume of the sphere = $4/3 \pi r^{3}$

So the Volume of the half sphere = $2/3\pi r^{3}$

The volume of solid = volume of cone + volume of the half sphere

$V = V_{1} + V_{2}$

Given

height h = 19 in

radius r = 5 in

$V_{1\\}$ = $1/3 \pi r^{2} h$

= 1/3 × 3.14 × 5 × 5 × 19

= 497.16 in³

$V_{2} = 2/3 \pi r^{3}$

= 2/3 × 3.14 × 5 × 5 × 5

= 261.67 in³

V = 497.16 in³ + 261.67 in³

= 758.83 in³

Hence the volume of the solid is 758.83 in³

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3 years ago