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2 years ago

Two con terminal angles 3pi/4 negative and positive answer in radians

Mathematics

1 answer:

son4ous [18]2 years ago

8 0

Answer:

Negative Coterminal: -5π/4

Positive Coterminal: 11π/4

Step-by-step explanation:

The easiest way to find <em>specific </em>(not infinite) coterminal values is to ±2π. When you subtract 2π, you will get a negative coterminal. When you add 2π, you will get a positive coterminal. Keep in mind though that a tan∅ or cot∅ only needs ±π, not ±2π.

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Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), h

Vlad1618 [11]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.

(a) What are the individuals in this data set?

(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?

Solution:

(a)

The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.

In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.

So, the "individuals" in this data set are the monkeys.

(b)

Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.

Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.

In this case the variables are:

Number of bananas the monkeys ate - Quantitative variable

Gender - Categorical variable

Age (in years) - Quantitative variable

Specific breed of monkey - Categorical variable

5 0

2 years ago

What is the y-intercept of line MN?<br><br> What is the equation of MN written in standard form?

bagirrra123 [75]

Answer:

y-intercept of the line MN = 2

Standard form of the equation ⇒ x + y = 2

Step-by-step explanation:

Coordinates of the ends of a line MN → M(-3, 5) and N(2, 0)

Slope of a line = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{5-0}{-3-2}$

= -1

Equation of the line MN passing through (-3, 5) and slope = -1,

y - 5 = (-1)(x + 3)

y - 5 = -x - 3

y = -x + 2

This equation is in the y-intercept form,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, y-intercept of the line MN = 2

Equation in the standard form,

x + y = 2

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2 years ago

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Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of

Whitepunk [10]

If the three integers are $a,b,c$ , then we have

$\dfrac1a+\dfrac1b+\dfrac1c=1$

We can combine the fractions on the left side:

$\dfrac{bc}{abc}+\dfrac{ac}{abc}+\dfrac{ab}{abc}=\dfrac{bc+ac+ab}{abc}=1$

$\implies abc=bc+ac+ab$

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2 years ago

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Alejandro bought $3.50 worth of pencils and erasers at the school store. Pencils cost $0.50 apiece, and erasers cost $0.75 apiec

Natalka [10]

The correct answer is B

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2 years ago

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Javier wants to inscribe a circle inside of the triangle ABC shown in the following figure. He begins by constructing the angle

djyliett [7]

Point D, as shown i the figure, is the intersection of the angle bisectors. This point is the Incircle, or the center of the inscribed circle.

All 3 angle bisectors meet at D, so drawing the angle bisector of C is useless. (Thus step 4 is not the one).

Since we have the center of the inscribed circle, we want to open the compass so that it touches all 3 sides at one point only, that is, we want the 3 sides to be tangent to this circle.

The segments joining the tangency points and D are 3 radii of the circle. We know that a radius is perpendicular to the tangent it touches.

Thus, we need to draw an altitude from D to any of the sides.

Answer: 1

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1 year ago