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Mekhanik [1.2K]
2 years ago
10

Solve for x: 1/5 (5x + 12) = 18

Mathematics
2 answers:
adelina 88 [10]2 years ago
8 0
What happens is you take 1/5 and multiply it by 5x and 12. After that you get x + 2 2/5= 18 Subtract 2 and 2/5 from birth sides of the equal sign and you get x=15 and 3/5
DENIUS [597]2 years ago
7 0
Solution for 1/5(5x+12)=18 equation:
<span>x in (-oo:+oo)

(1/5)*(5*x+12) = 18 // - 18

(1/5)*(5*x+12)-18 = 0

1/5*(5*x+12)-18 = 0

1/5*(5*x+12)-18 = 0

x-78/5 = 0

x-78/5 = 0

x-78/5 = 0 // + 78/5

x = 78/5

x = 78/5
</span>
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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}



5 0
1 year ago
Help me please !!! <br><br><br><br> And thank you
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Answer:

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Step-by-step explanation:

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