Answer:
13 2/8
Step-by-step explanation:
Answer:
<h3>Toni can type words in 3 minutes is 270 words</h3>
Step-by-step explanation:
Given that the double number line shows that Toni can type 180 words in 2 minutes.
<h3>To find how many words can Toni type in 3 minutes:</h3>
From the given Toni can type 180 words in 2 minutes,
⇒ Toni can type 
<h3>∴ 90 words per minute </h3>
For Toni would be able to type words in 3 minutes is
<h3>∴ 270 words per minute.</h3><h3>∴ Toni can type words in 3 minutes is 270 words.</h3>
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
