Answer:
Option 2
Step-by-step explanation:
Since theta is in the third quadrant, the sine of theta is negative.
By the Pythagorean identity,
So, using the double angle formula for sine, we get that
Answer:
Step-by-step explanation:
<h3><u>Given:</u></h3>
θ = 71°
Adjacent = AB = 6.3 cm
<h3><u>Required:</u></h3>
Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
![\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20cos%20%5Ctheta%20%3D%20%5Cfrac%7BAdjacent%7D%7BHypotenuse%7D%20%5C%5C%5C%5Ccos%20%5C%2071%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5C0.33%20%3D%20%5Cfrac%7B6.3%7D%7BBC%7D%20%5C%5C%5C%5CBC%20%3D%5Cfrac%7B6.3%7D%7B0.33%7D%20%5C%5C%5C%5C%5Cboxed%7BBC%20%3D%2019.4%20%5C%20cm%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
The given scales which measure the attitude of a person is an ordinal scale such as a Likert scale
<h3>What is an ordinal scale?</h3>
An ordinal scale provides a report of the rating, order or rank of a data without stating the extent of variation between the categories.
There are many types of rating scales used to directly measure the attitude of a person towards a subject matter.
The Likert scale which is the most widely used rating scale, when applied, consists of a five or seven point scale, that empowers the subject of the survey to express how much they agree (or disagree) with a specified statement.
Generally, five options, graded from, mild to extreme are provided so that the survey subject can indicate (express), their strength of how much they agree with or feel about the statement or question
The assumptions of the Likert scale includes;
- The ability to measure attitudes.
- The intensity or strength of an attitude is linear, such that the attitude varies linearly from strongly agree to strongly disagree
Based on the perception of the subject, Likert scale can be used to also measure the variations of the following subject matters;
- Likelihood of an event or occurrence
- The importance of a product or service
- The quality perception of an object
- The frequency of an event
Learn more about Likert–type scales here:
brainly.com/question/13371427
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The triangle is an Obtuse triangle
Answer:
Step-by-step explanation:
13+p/3=-4
P/3=-4-13
p=3(-4-13)
p=-13-39
p=-52
