On the unit circle, if s is the length of the arc subtended by a central angle θ, measured in radians, then s = θ.

1 answer:

6 0

<span>a. True The question is pretty much the entire definition of a radian. For an unit circle, its entire circumference is 2Ď€ and the entire circle has 2Ď€ radians. A quarter circle, or 90Â°, or Ď€/2 radians, have 1/4th of the circumference. And 2Ď€/4 is Ď€/2. This natural relationship is WHY higher mathematics uses radians for the measurement of angles rather than arbitrary units such as degrees.</span>

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Help please I need to answer this question

djverab [1.8K]

Answer:

Step-by-step explanation:

first find the perimeter of both triangles

Original perimeter: 72 in

scaled perimeter: 24 in

A is wrong since the scaled perimeter is actually smaller.

B is wrong because its not 6 times smaller

C is wrong since it's not 1/9 of the original

D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)

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3 years ago

The factory used to produce 126 articles a day. As a result of retooling, production increased to 189 articles a day. What was t

NARA [144]

Answer: The answer is 50%.

Step-by-step explanation: Given that the factory produces 126 articles in a day. After retooling, the production of the articles increased and they started producing 189 articles in a day. We need to calculate the percent increase in labour productivity.

We have,

Percent Increase in labour productivity will be equal to the percent increase in the number of articles.

Increase in the number of articles after retooling = 189 - 126 = 63.

Therefore, percent increase in the number of articles is given by

$p=\dfrac{63}{126}\times 100\%=\dfrac{100}{2}\%=50\%.$