Answer:
They are dependent events. Event A is choosing one musician while Event B is choosing another musician. THey are ALL musicians, no matter what instrument they play, we just know that there are 7 musicians in total. Therefore, the events are dependent because after choosing one musician, you would have 6 musicians left, instead of 7.
Step-by-step explanation:
(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))
Recall that
tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>)
so cos²(<em>θ</em>) cancels with the cos²(<em>θ</em>) in the tan²(<em>θ</em>) term:
(sin²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))
Recall the double angle identity for cosine,
cos(2<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
so the 1 in the denominator also vanishes:
(sin²(<em>θ</em>) - 1) / (2 cos²(<em>θ</em>))
Recall the Pythagorean identity,
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1
which means
sin²(<em>θ</em>) - 1 = -cos²(<em>θ</em>):
-cos²(<em>θ</em>) / (2 cos²(<em>θ</em>))
Cancel the cos²(<em>θ</em>) terms to end up with
(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>)) = -1/2
-|20| + |5| = -15
Steps:
Apply absolute rule: |a| = a, a >/ 0
|20| = 20
= -20+5
Apply absolute rule: |a| = a, a >/ 0
|5| = 5
= -20+5
Refine
= -15
Hope this helps you! (:
-Hamilton1757
Answer:
See Below
Step-by-step explanation:
Thankfully, all the parts you need are given.
First, find the surface of one triangle
A = 1/2bh
A = 1/2(15)(9)
A = 1/2(135)
A = 67.5
Multiply by 4 to get the sum of all the sides.
67.5(4) = 270
Now find the surface area of one square
A = bh
A = (15)(15)
A = 225
multiply by 5 to get all 5 sides
225(5) = 1125
Add sums together
1125 + 270 = 1395
Let this number be x. The next number is (x+1). And their sum is 57. Then, we have to solve this equation x+x+1=57
Emily's number was 28
