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Gnesinka [82]
4 years ago
9

A line rotates in a horizontal plane according to the equation θ = 2t3 - 6t, where θ is the angular position of the rotating lin

e, in radians, and t is the time, in seconds. Determine the angular acceleration when t = 2 sec.
A. 24 radians per sec2
B. 12 radians per sec2
C. 18 radians per sec2
D. 6 radians per sec2
Mathematics
1 answer:
Feliz [49]4 years ago
7 0
The acceleration is the second derivative of \theta.

first derivative: 6t^2-6. Second derivative 2t. For t= 2, we get theta = 24. The correct answer is A, 24 second^2
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3 years ago
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Does anyone know how to do this
otez555 [7]

Considering the area of the rectangle, we have that the length is of 8 units and the width is of 10 units.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle of length l and width w is given as follows:

A = lw.

In this problem, the area is of 80 square units, while the length and the width are consecutive even integers, hence:

  • A = 80.
  • w = l + 2.

Then:

l(l + 2) = 80

l² + 2l - 80 = 0

(l + 10)(l - 8) = 0.

We need the positive measure, hence:

l -  8= 0 -> l = 8 units.

w = l + 2 = 10 units.

More can be learned about the area of a rectangle at brainly.com/question/10489198

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2 years ago
Tangent segments from a common external point are
n200080 [17]

Answer:

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Explanation:

A <em>tangent</em> line to a circle is a line that touches the circle in only one point of the cirfumference, and, hence, the tangent is perpendicular to (forms a right angle with) the radius of the circle.

There are many thorems relative fo the tangent lines of a cirle.

One of those theorems states that if two tangent lines to a circle are drawn from a same external point, the two segments formed from the coomon external point to the tangency points have the same length.

Also, you must know that, from the definition, two segments of the same length are known as congruent segments.

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3 years ago
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Answer:

7.5 in.

Step-by-step explanation:

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Answer:

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We have that the server's salary can be expressed as

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Done

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