Answer:
360 in.
Step-by-step explanation:
1 yd = 36 in.
10 yd = 10 * 1 yd = 10 * 36 in. = 360 in.
<em>θ</em> is given to be in the fourth quadrant (270° < <em>θ</em> < 360°) for which sin(<em>θ</em>) < 0 and cos(<em>θ</em>) > 0. This means
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1 ==> sin(<em>θ</em>) = -√[1 - cos²(<em>θ</em>)] = -3/5
Now recall the double angle identity for sine:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
==> sin(2<em>θ</em>) = 2 (-3/5) (4/5) = -24/25
AA Similarity Postulate - we get the triangle on the left's angles; 90 and 63, and we subtract from 180.
180 - 90 - 63 = 27
So we have angle measures 27, 63, 90
For the triangle on the right, with measures 27 and 90, we use the same idea:
180 - 90 - 27 = 63.
You'll see that we also have 27, 63, 90.
Triangles with the same angles are defined as similar, so AA should be the answer
Answer:
a)78
b)82.95
Step-by-step explanation:
To get the amount something is marked up you just need to multiply it by
1+0.(the%)
so in this case you multiply 60 by 1.30 to get 78
To get a discount you just have to do the same but without the +1
so 88*0.15
should get you the discount amount (13.2)
which you subtract from the original number (88-13.2 = 74.8)
now to get sales tax you would multiply the 79 by 0.05 which is 3.95
and add that to the total of 78.75 since sales tax applies AFTER coupons
You have to do standard algorithm
