The half-angle formula for tangent is:
tan(a/2) = (sin a / (1 + cos a)) = ((1 - cos a) / sin a)
Now we can plug in values:
tan(5π/8) = (sin(5π/4) / (1 + cos(5π/4)) = ((1 - cos(5π/4)) / sin(5π/4)
tan(5π/8) = (-√2/2) / (1 + (-√2/2)) = (1 - (-√2/2)) / (-√2/2)
tan(5π/8) = ((-√2/2)) / ((2 - √2)/2) = ((2 + √2)/2) / (-√2/2)
Now we can solve the first half:
(-√2/2)(2 / (2 - √2))
(-√2/2)((4 + 2√2) / 2)
(-√2/2)(2 + √2)
(-2√2 - 2)/2
-√2 - 1
tan(5pi/8) = -√2 - 1
Answer:
Nate wants to use a .org (or .gov) site about ecological roofs, a book featuring photos of different styles of room because
1. It specifically talks about green roof's
2. Unlike the blog post, the .org/.gov is not attempting to sell a product that may change how the article is written.
P=i/rt
P=1687.5/(0.09*10/12)
P=22500
Miles driven per hour is 60 miles per hour
Hours driven per mile is 0.01667 hours per mile
<em><u>Solution:</u></em>
Given that,
On a recent road trip, Mr. Yost drove 210 miles in 3 1/2 hours
Therefore,
Miles driven = 210 miles
To find: miles driven per hour and the hours driven per mile
<h3><u>Miles driven per hour</u></h3>
<h3><u>Hours driven per mile</u></h3>
Thus both the miles driven per hour and the hours driven per mile are found
Answer:
He must get 33 hits in his next 46 times at bat to finish the year with a .400 batting average
Step-by-step explanation:
The player has already batted 134 times and will still bat 46 times. So in the end of the year, he is going to have 134 + 46 = 180 at bats.
How many hits does he need to have to hit .400?
This is 40% of 180, which is 0.4*180 = 72.
He has already 39 hits, so in his next 46 at bats, he will need 72 - 39 = 33 hits.
