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Vikki [24]
3 years ago
14

Which of the following matches a quadrilateral with the listed characteristics below?

Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

Option (A)

Step-by-step explanation:

By the characteristics of a quadrilateral given in the question,

1). All four sides are congruent.

It may be Square, Rhombus

2). Both the pairs of opposite sides are parallel.

It may be Parallelogram, Rhombus.

3). Diagonals are perpendicular.

It may be Rhombus, Rectangle, Square.

Since all three characteristics define the properties of a Rhombus,

The given quadrilateral matches with a rhombus.

Therefore, Option (A) will be the answer.

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Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

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hence

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the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

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