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insens350 [35]
2 years ago
14

Solve this system of linear equations. -14x + 11y = 23 7x - 3y = 37 x=? y=?

Mathematics
1 answer:
lesya692 [45]2 years ago
3 0
<span> -14x + 11y = 23
+2(7x - 3y = 37)
----------------------
   0 + 5y = 97
y  = 97/5
y = 19.4

7x - 3(19.4) = 37
7x - 58.2 = 37
7x = 37 + 58.2
7x = 95.2
x = 95.2/7
x = 13.6

Check

-14(13.6) + 11(19.4) = 23
-190.4 + 213.4 = 23
</span>
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Step-by-step explanation:

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Korolek [52]

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r = 16 cm

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Step-by-step explanation:

We have that for the cone, the formula is as follows:

v = pi / 3 * r ^ 2 * h

the first thing they ask is to calculate the radius, therefore we solve for r

r ^ 2 = 3 * v / (pi * h)

replacing the volume and height, it remains:

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r ^ 2 = 3 * 2560/30 = 256

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Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:

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g ^ 2 = 16 ^ 2 + 30 ^ 2

g ^ 2 = 1156

g = 34

The lateral area of the cone is given by the following equation:

LA = pi * r * g

replacing

LA = 3.14 * 16 * 34

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the lateral area is 1708.16 cm ^ 2

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Step-by-step explanation:

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