I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
Answer:
for anyone in the future that needs this the answer is The rule (x,y) ----> (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN
Step-by-step explanation:
3.95 × 3.81 = 15.0485
The road was 15.0485 miles long after the renovation.
Hope this helps!
Step-by-step explanation:
A= 90 degree
B= 180
C=118
Student committed a minor act of plagiarism or cheating a second time in his/her work or exam for a class OR
committed a serious act of plagiarism or cheating. Serious acts include: copying or purchasing an essay or other
assignment and presenting it as your own, obtaining and using unauthorized materials (paper, electronic) or help
(verbal) during an exam, or obtaining extensive help from classmates or non-classmates for an exam. These can
result in a failing grade for the related assignment or exam
Answer:
4:1
Step-by-step explanation:
x+20 : y+20 = 5 : 2
(x+20)/(y+20) = 5/2
2(x+20) = 5(y+20)
2x+40 = 5y+100
2x = 5y+60 (1)
x-5 : y-5 = 5:1
(x-5)/(y-5) = 5/1
x-5 = 5(y-5)
x-5 = 5y-25
x = 5y-20 (2)
Solve (1) & (2) simultaneously,
2(5y-20) = 5y+60
10y-40 = 5y+60
5y = 100
y = 20
x = 5y-20
x = 5(20)-20 = 100-20
x = 80
x:y
80:20
4:1
