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k0ka [10]
3 years ago
15

3x + 1

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

The length of XY is 32

Step-by-step explanation:

Notice that you have a bisector segment (that divides the segment XY  into two equal parts.

since these parts are equal, they must satisfy:

3 x + 1 = 8 x - 24

so, let's solve for x, grouping terms with x on the right of the equal sign, and numerical terms on the left:

1 + 24 = 8 x - 3 x

25 = 5 x

then x = 25/5 = 5

then,now you can find the length of XY as the addition of both parts:

3 x + 1 + 8 x - 24 = 3 (5) +1 + 8 (5) - 24 = 16 + 16 = 32

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What is the value of a?
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sin 50 deg      sin 62 deg
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Answer:

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Step-by-step explanation:

There was no figure but the question is clear

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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

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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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