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3 years ago

Mai's younger brother tells her that 10/7 is equal to square root of 2. Mai knows this can't be right,

Mathematics

1 answer:

Kryger [21]3 years ago

3 0

Answer:

10/7 is a simple fraction, and √2 cannot be written as a simple fraction. So, they are not the same.

Step-by-step explanation:

10/7 is a number that has a numerator and a denominator.

Suppose √2 = 10/7, then √2 can also be written as a number that has a numerator and a denominator.

Since this is not the case, 10/7 cannot be the same as √2.

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3 years ago

Given that T is the centroid of △DEF and FT=12

dlinn [17]

The centroid of a triangle divides the median of the triangle into 1 : 2

The measure of FQ is 18, while the measure of TQ is 6

Because point T is the centroid, then we have the following ratio

$\mathbf{TQ : FT =1 : 2}$

Where FT = 12.

Substitute 12 for FT in the above ratio

$\mathbf{TQ : 12 =1 : 2}$

Express as fraction

$\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}$

Multiply both sides by 12

$\mathbf{TQ =\frac{1 }{ 2} \times 12}$

This gives

$\mathbf{TQ =\frac{1 2}{ 2}}$

Divide 12 by 2

$\mathbf{TQ =6}$

The measure of FQ is calculated using:

$\mathbf{FQ = FT + TQ}$

Substitute 12 for FT, and 6 for TQ

$\mathbf{FQ = 12 + 6}$

Add 12 and 6

$\mathbf{FQ = 18}$

Hence, the measure of FQ is 18, while the measure of TQ is 6