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ELEN [110]
2 years ago
14

Find the exact value of sin(255∘)

Mathematics
1 answer:
Masteriza [31]2 years ago
5 0

Check the picture below.

\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}

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what is the probability of randomly selecting a score between 1 and 2 standard deviations below the mean?
velikii [3]

Answer:

0.13591.

Step-by-step explanation:

We re asked to find the probability of randomly selecting a score between 1 and 2 standard deviations below the mean.

We know that z-score tells us that a data point is how many standard deviation above or below mean.

To solve our given problem, we need to find area between z-score of -2 and -1 that is P(-2.

We will use formula P(a to solve our given problem.

P(-2

Using normal distribution table, we will get:

P(-2

P(-2

Therefore, the probability of randomly selecting a score between 1 and 2 standard deviations below the mean would be 0.13591.

8 0
3 years ago
Which of the following transformations fit the definition of isometry?
Gennadij [26K]

Answer: Rotations, reflections, translations (A, C, and E)

Imagine you had a camera aimed at a triangular figure on a piece of paper. If you rotate the camera, then the image of the triangle appears to rotate. In reality it's the other way around. What this means is that the triangle is not changing at all. It keeps the same size, shape, area, perimeter, etc. This applies to when the camera pans left or right, ie shifts from side to side. The triangle will translate but again the triangle isn't changing at all. It's merely an illusion. Reflections are the same way. Imagine having a piece of glass or a mirror that reflects the image which is an identical copy; although everything is flipped.

Dilations are not isometries because the image is a different size then the pre-image. The same shape is maintained though. Note: the scale factor must be some number other than 1.

another note: "isometry" breaks down into "iso+metry" with "iso" meaning "same" or "equal", and "metry" meaning "measure". So if you had 2 identical yard sticks, then they are isometrical or equal in length.

4 0
3 years ago
What is the slope of the line? Explain how you calculated the slope in the graph going through the points (-6,-3) and (-2,-8).
horsena [70]

Answer:

\frac{-5}{4}

Step-by-step explanation:

Use the slope formula so y2 - y1 / x2 - x1 [the numbers are subscripts]  

So -8 - (-3) / -2 - (-6) so -8+3/-2+6, therefore -5/4

6 0
3 years ago
Find the Y intercept
Norma-Jean [14]
The y-intercept is at the point (0, -3)
7 0
2 years ago
Aisha thinks 1,275 rounded to the nearest hundread is 1,200 because 2 is less than 5 what might aisha misunderstand about roundi
lora16 [44]
For rounding, you look at the number to the right of it.

In this case, it would be 7

because 7 is greater than 5, it is rounded up (remember, 5 and up is round up, while 4 and lower is round down)
So her answer should be 1300

hope this helps
8 0
3 years ago
Read 2 more answers
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