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Eva8 [605]
3 years ago
6

Solve the equation!3 tan^3θ = tan θ

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0
3 tan³ t(theta) = tan t(theta)
3 tan³ t - tan t = 0
tan t ( 3 tan² t - 1 ) = 0
tan t = 0
t 1 = k π ,  k ∈ Z
3 tan ² t - 1 = 0
3 tan ² t = 1
tan ² t = 1/3
tan t = +/- √3/3
t 2 = π / 6 + k π
t 3 = - π / 6 + k π ,  k ∈ Z
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Write out the sample space for the given experiment. Use the following letters to indicate each choice: O for olives, M for mush
tigry1 [53]

Answer:

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Step-by-step explanation:

Given

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O = Olives                     S = Shrimp                 I = Italian  

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3 0
3 years ago
What shape is created by the rotation and what is the
zlopas [31]

Answer:

<u>Option D: A cylinder with a circumference of about 50 units​</u>

Step-by-step explanation:

The rest of the question is the attached figure.

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr

===================================================

Given:  the perimeter of the square = 32

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So, the side length of square = 32/4 = 8 units

The square is rotated about line k.

So, it will form a cylinder with radius 8 units.

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Where, r is the radius of the circle.

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The shape is created by the rotation is a cylinder with a circumference of about 50 units.

<u>So, the answer option is D.</u>

4 0
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