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3 years ago

Explain the mistake 3/6 + 1/3 = 4/9

Mathematics

1 answer:

Shkiper50 [21]3 years ago

4 0

Answer:

The answer should be 5/6

Step-by-step explanation:

The problem just adds both the numerator and the denominator which is something you can't do. You have to find the least common denominator, which in this case is 6, and change the numerator as the denominators have been changed. So 1/3 becomes 2/6. 3/6 + 2/6 = 5/6

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jarptica [38.1K]

Step-by-step explanation:

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3 years ago

5. The number −6 is 2 more than an unknown number. Find the unknown number.

Mariana [72]

Answer:

-4

Step-by-step explanation:

-6 - 2 = -4

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3 years ago

Find three consicutive numbers that have the sum 96

In-s [12.5K]

Answer:

31, 32, 33

Step-by-step explanation:

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2 years ago

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$