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3 years ago

Points A, B, and C are collinear, and B lies

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

3 0

Answer:

BC = 30

Step-by-step explanation:

If the three points are collinear, it means they lie on the same straight line.

Now B lies between A and C

By mathematical convention;

AC = AB + BC

This means;

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48-8 = 5x

5x = 40

x = 40/5

x = 8

From the question BC = 3x + 6

Substitute the value of x; 3(8) + 6 = 24 + 6 = 30

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yulyashka [42]

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In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.

$q_1=-q_2$

$m_1\times c_1\times (T_f-T_1)=-m_2\times c_2\times (T_f-T_2)$

where,

$c_1$ = specific heat of metal = ?

$c_2$ = specific heat of ice = $2000J/kg^oC$

$m_1$ = mass of metal = 1.00 kg

$m_2$ = mass of ice = 1.00 kg

$T_f$ = final temperature of mixture = $-8.88^oC$

$T_1$ = initial temperature of metal = $5.00^oC$

$T_2$ = initial temperature of ice = $-24.0^oC$

Now put all the given values in the above formula, we get:

$(1.00kg)\times c_1\times (-8.88-5.00)^oC=-[(1.00kg)\times 2000J/kg^oC\times (-8.88-(-24.0))^oC]$

$c_1=2178.67J/kg^oC$

Therefore, the specific heat of the metal is, $2178.67J/kg^oC$

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4 years ago