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Semmy [17]
3 years ago
7

Select the best answer for the question: All rhombuses are?

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

Parallelograms

Explanation:

All rhombuses are parallelograms but not all parallelograms are rhombuses.

The answer could be kites if that is a choice.

gavmur [86]3 years ago
7 0

Answer:

A parallelogram

Step-by-step explanation:

Opposite sides are always parallel, and opposite angles are always equal (which means they are all Parallelograms)

Hope this helps

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Fill in the missing number: 2, 8, 27, 85, 260, _, 2365
nexus9112 [7]

Each number is mutliplied by 3 and then numbers 2,3,4,5,... are added successively.

2*3+2=8

8*3+3=27

27*3+4=85

85*3+5=260

260*3+6=786

So it's 786.

Btw, the general formula for this sequence is a_n=\dfrac{1}{12}(-6n+13\cdot3^n-9)

6 0
4 years ago
Sin∅=√3-1/2 find approximate value of sec∅(sec∅+tan∅)/1+tan²∅​
Neko [114]

Answer:

The approximate value of f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta} is 1.366.

Step-by-step explanation:

Let f(\theta) = \frac{\sec \theta \cdot (\sec \theta+\tan \theta)}{1+\tan^{2}\theta}, we proceed to simplify the formula until a form based exclusively in sines and cosines is found. From Trigonometry, we shall use the following identities:

\sec \theta = \frac{1}{\cos \theta} (1)

\tan\theta = \frac{\sin\theta}{\cos \theta} (2)

\cos^{2}+\sin^{2} = 1 (3)

Then, we simplify the given formula:

f(\theta) = \frac{\left(\frac{1}{\cos \theta} \right)\cdot \left(\frac{1}{\cos \theta}+\frac{\sin \theta}{\cos \theta}\right) }{1+\frac{\sin^{2}\theta}{\cos^{2}\theta} }

f(\theta) = \frac{\left(\frac{1}{\cos^{2} \theta} \right)\cdot (1+\sin \theta)}{\frac{\sin^{2}\theta + \cos^2{\theta}}{\cos^{2}\theta} }

f(\theta) = \frac{\left(\frac{1}{\cos^{2}\theta}\right)\cdot (1+\sin \theta)}{\frac{1}{\cos^{2}\theta} }

f(\theta) = 1+\sin \theta

If we know that \sin \theta =\frac{\sqrt{3}-1}{2}, then the approximate value of the given function is:

f(\theta) = 1 +\frac{\sqrt{3}-1}{2}

f(\theta) = \frac{\sqrt{3}+1}{2}

f(\theta) \approx 1.366

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Answer:D

Step-by-step explanation:

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