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3 years ago

Type an inequality statement using the < or > for the inequality symbols solve for x 6x-11-13x<7-5x

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

Answer:

-9 < x

Step-by-step explanation:

6x-11-13x<7-5x

Combine like terms

-11-7x<7-5x

Add 7x to each side

-11-7x+7x<7-5x+7x

-11 < 7+2x

Subtract 7 from each side

-11-7 < 7-7+2x

-18 < 2x

Divide by 2

-18/2 < 2x/2

-9 < x

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

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1 year ago

Pls help me with this multiple choice !

lana66690 [7]

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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