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4 years ago

13

What are all the refernce angles to pi/6

1 answer:

kaheart [24]4 years ago

7 0

Construction of the angle pi/6=30 degrees produces a 30-60-90 triangle, which has angles theta=pi/6 and 2theta=pi/3.

Step-by-step explanation:

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Please help, vertex form of parabola

nika2105 [10]

Answer:

the 3rd choice I believe

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3 years ago

Find the area of the regular pentagon if the apothem is 7 ft and a side is 10 ft. Round to the nearest whole number.

Komok [63]

The area of any regular polygon is equal to one half the product of the apothem and the perimeter of the polygon. A regular polygon is any polygon that has equal length of its sides. A pentagon has 5 sides so if it is a regular pentagon then the perimeter is 5 times the length of one side. The apothem of a polygon is the length of a line from the center of the polygon to the middle of one of its side. We calculate the area as follows:

Area = apothem (perimeter) / 2
Area = 7 ft (5 (10 ft)) / 2
Area = 175 ft^2

6 0

3 years ago

PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!

pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

In this problem, we have that the sine is given by:

$\sin{\theta} = \frac{1}{3}$

Hence, applying the identity, the cosine is given as follows:

$\cos^2{\theta} = 1 - \sin^2{\theta}$

$\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2$

$\cos^2{\theta} = 1 - \frac{1}{9}$

$\cos^2{\theta} = \frac{8}{9}$

$\cos{\theta} = \pm \sqrt{\frac{8}{9}}$

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

The tangent is given by the sine divided by the cosine, hence:

$\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}$

$\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}$

$\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

More can be learned about trigonometric identities at brainly.com/question/24496175

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5 0

2 years ago

Marco wants to cut a sheet of plywood to fit over the top of his triangular sandbox.one angel measures 38degrees and it is betwe

Luba_88 [7]

Answer:

The length of the third side is 11.08 feet

Step-by-step explanation:

Please kindly check the attached file for explanation

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4 years ago

Ellen has a 78% chance of making a free

Goryan [66]

Answer:

0.91

Step-by-step explanation:

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3 years ago

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