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KIM [24]
2 years ago
8

The statement tan theta -12/5, csc theta -13/12, and the terminal point determined by theta is in quadrant 2."

Mathematics
2 answers:
ZanzabumX [31]2 years ago
6 0

Answer is C. This is because in quadrant 2, \sin\theta>0 so \csc\theta>0 is also true.

IrinaK [193]2 years ago
3 0

Answer with explanation:

Let , Theta =A

\tan A=\frac{-12}{5}\\\\ \csc A=\frac{-13}{12}

In First Quadrant all Trigonometric Function are Positive.

→In Quadrant,II , Sine and Cosecant , Function are Positive only.

→Cosecant theta is negative.So, Terminal point can't be in Second Quadrant.

Option C:

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Definitions and Data Due Sun 02/03/2019 11:59 pm A researcher is interested in attitudes towards releasing prisoners with Alzhei
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Answer:

Step-by-step explanation:

Matching each vocabulary word with its corresponding example:

(1). All Americans = f. Population (a group of items, units or subjects under reference of study e.g. inhabitants of a region, numbers of cars in a city, workers in a factory and so on)  

(2). The proportion of all Americans who strongly agree that prisoners with life sentences who have Alzheimer's should be released = c. Parameter ( the number that summarizes some characteristic of a population)  

(3). The proportion of the 85 Americans surveyed who strongly agree that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the sample characteristic corresponding to a population parameter used when a sample is used to make statistical inference about a population)

(4). The answer-Strongly Agree' or 'Agree, or Disagree, or Strongly Disagree = b. Variable (any quality, characteristic, quantity or number that can be counted or measured)

(5). The 85 Americans who participated in the survey = e. Sample (a part or fraction of a population selected on some basis)

(6). The list of answers that the 85 Americans gave = a. Data (the pieces of information collected to be used for the analysis)

6 0
2 years ago
Karina read a total of 20 2/4 pages in her science and social studies books combined she read 12 3/4 pages in her science book h
wlad13 [49]

Answer:

8 1/4

Step-by-step explanation:

20 2/4

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12 3/4

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8 1/4

4 0
2 years ago
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Marie saved $3,000 dollars last year. She saved $600 in the month of January. What percent of the money she saved last year was
Archy [21]

Answer:

20% of the money was saved from January.

Here is the way to find percentage.

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then:  divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

<u>Step-by-step explanation:</u>


5 0
2 years ago
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Given ΔSTU and ΔDEF, what is m∠U ?
anygoal [31]
<h2>Answer:</h2><h2></h2>

In this context:

\boxed{m\angle U=40^{\circ}}

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any diagram, so I'll assume ΔSTU and ΔDEF are similar. Two triangles are similar if and only if<em> their corresponding angles are congruent and their corresponding sides are in proportion. </em>

So:

\angle S=\angle D \ldots eq1 \\ \\ \angle T=\angle E \ldots eq2 \\ \\ \angle U=\angle F \ldots eq3

We also know:

\angle S+\angle T+\angle U=180^{\circ} \ldots eq4 \\ \\ \angle D+\angle E+\angle F=180^{\circ} \ldots eq5

Suppose we know:

\angle S=30^{\circ} \\ \\ \angle E=110^{\circ}

Then, by eq2:

\angle T=\angle E =110^{\circ}

By substituting ∠S and ∠T into eq4:

\angle S+\angle T+\angle U=180^{\circ} \\ \\ 30^{\circ}+110^{\circ}+\angle U=180^{\circ} \\ \\ \\ Isolating \ \angle U: \\ \\  \angle U=180^{\circ}-(30^{\circ}+110^{\circ}) \\ \\ \angle U=180^{\circ}-140^{\circ} \\ \\  \angle U=40^{\circ}

Finally:

\boxed{m\angle U=40^{\circ}}

6 0
2 years ago
1. Vince wants to make a square patio in his yard. He has enough concrete to pave an area of 378 square feet. How long can a sid
TEA [102]

Answer:

The length of a side can be 3·√42 ft long

Step-by-step explanation:

The question is a word problem regarding the formula for the area of a square

The parameters given are;

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Shape of patio Vince wants to make = Square

Therefore, the dimensions of the sides, s, of a square patio that has an area of 378 ft.² is found as follows;

s² = 378

Therefore, s = √378 = √(9 × 42) = 3·√42 ft

Hence, the length of a side can be 3·√42 ft long.

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2 years ago
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