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Phantasy [73]
3 years ago
7

two lines, r and m, are represented by the following equations: line r: 2x 2y = 18 line m: x y = 9 which statement is true about

the solution to the set of equations? it is (18, 9). it is (9, 18). there are infinitely many solutions. there is no solution.
Mathematics
1 answer:
Masja [62]3 years ago
6 0
Line r is twice line m. i.e. r = 2s which means that they are linearly dependent.

Therefore there are infinitely many solution to the given set of equations.
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The internal diameter of the sphere is 6 cm.

Step-by-step explanation:

Given that, a solid right circular cone of diameter 14 cm and height 8 cm.

The radius of the cone is =\frac{diameter}{2}

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                                           =(\frac1 3\times \pi \times 7^2\times 8) \ cm^3

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Let the internal radius of the sphere be r.

The external diameter of the sphere is = 10 cm

The external radius of the sphere is(R) = 5 cm

The volume of the sphere is = \frac43 \pi(R^3-r^3)

                                                =\frac43 \pi (5^3-r^3) \ cm^3

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∴The volume of the sphere = The volume of the cone

According to the problem,

\frac43 \pi (5^3-r^3) =\frac{392}{3}\pi

\Rightarrow 4(5^3-r^3)= 392

\Rightarrow 5^3-r^3=\frac{392}{4}

\Rightarrow 5^3-r^3=98

\Rightarrow -r^3=98-125

\Rightarrow-r^3= -27

⇒r= 3

The internal radius of the sphere is = 3 cm.

The internal diameter of the given sphere is = (2×3) cm =6 cm.

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