The perimeter of a rectangle is the sum of all its sides. As a formula, this is
P = w + w + l + l = 2w + 2l = 2(w + l),
where P is perimeter, w is the width, and l is length.
Let's apply this formula to your question and substitute given information, then solve for l.
P = 2(w + l)
10x + 6 = 2(3x - 3 + l).
10x + 6 = 6x - 6 + 2l
4x +12 = 2l
l = 2x + 6
A) There was no change in the number of students on honor roll from one year to the next. This is noticeable because 200/1000 = .2 just as 20%/100% = .2 or 20/100 = .2. So there never was a change!
C) !!!
In ratios, 'things go with the same things', so recliners have to be both in the numerator or denominator. The 8 is misleading. That's the total, and the problem is all about recliners and couches only
Answer:
30 degrees
Step-by-step explanation:
u dot v=1*4+1*4+1*4+0*4=4+4+4+0=12
|u|=sqrt(1^2+1^2+1^2+0^2)=sqrt(3)
|v|=sqrt(4^2+4^2+4^2+4^2)=sqrt(4*4^2)=2*4=8
cos(theta)=u dot v/(|u||v|)
cos(theta)=12/(sqrt(3)*8)
cos(theta)=3/(sqrt(3)*2)
cos(theta)=sqrt(3)/2
theta=30 degrees
