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3 years ago

The diagram shows a tile in the shape of a trapezium.

Mathematics

1 answer:

Ann [662]3 years ago

5 0

Answer:

286cm²

Step-by-step explanation:

Let the parallel sides be 12cm and 10cm

Height h = 26cm

Area of a trapezium = 1/2(a+b) * h

Area of a trapezium = 1/2(12+10)* 26

Area of a trapezium = 1/2(22)*26

Area of a trapezium = 11 * 26

Area of a trapezium = 286cm²

Hence the area of the tiles is 286cm²

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Three rational numbers between 5/31 and 6/31

Ludmilka [50]

Answer:

$\dfrac{26}{155}$ , $\dfrac{27}{155}$ , and $\dfrac{28}{155}$ .

Step-by-step explanation:

What is a rational number? By definition, a rational number can be represented as the fraction of two integers.

The goal is to find three fractions in the form $\dfrac{p}{q}$ between $\dfrac{5}{31}$ and $\dfrac{6}{31}$ .

$\dfrac{5}{31} < \dfrac{p}{q} < \dfrac{6}{31}$ .

At this moment, there doesn't seems to be a number that could fit. The question is asking for three of these numbers. Multiple the numerator and the denominator by a number greater than three (e.g., five) to obtain

$\dfrac{25}{155} < \dfrac{p}{q} < \dfrac{30}{155}$ .

Since $p$ and $q$ can be any integers, let $q = 155$ .

$\dfrac{25}{155} < \dfrac{p}{155} < \dfrac{30}{155}$ .

$\implies 25 < p < 30$ .

Possible values of $p$ are 26, 27, and 28. That corresponds to the fractions

$\dfrac{26}{155}$ , $\dfrac{27}{155}$ , and $\dfrac{28}{155}$ .

These are all rational numbers for they are fractions of integers.

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3 years ago

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Lunna [17]

Answer:

Step-by-step explanation:

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Hypotenuse ^2 = base^2 + perpendicular ^2

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Step-by-step explanation:

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