W= width
L= length= 2W-4
Perimeter= 70
FIND WIDTH:
P= 2(L + W)
P= 2L + 2W
substitute 2W-4 for L
70= 2(2W-4) + 2W
multiply 2 by all in parentheses
70= (2*2W) + (2*-4) + 2W
70= 4W - 8 + 2W
combine like terms
70= 6W - 8
add 8 to both sides
78= 6W
divide both sides by 6
13= W
FIND LENGTH:
substitute w=13 to find width
L= 2W-4
L= 2(13)-4
L= 26-4
L= 22
CHECK:
P= 2(L + W)
70= 2(22 + 13)
70= (2*22) + 2(13)
70= 44 + 26
70= 70
ANSWER:
length= 22 inches
width= 13 inches
Hope this helps! :)
Answer:
D
Step-by-step explanation:
because 
is radical
Answer:
B.
Step-by-step explanation:
Causation is often confused with correlation because they are so similar. B would mean that pollution is caused from something (lets say greenhouse gases for example) which then results in more cases of heart disease.
Causation is when the first variable may bring the second into existence or may cause the incidence of the second variable to fluctuate. So, causation is the capacity of one variable to influence another. Which, would make B, a suitable candidate.
Given:
The given expression is:
To find:
The value of the given expression at 
.
Solution:
We have,
Substituting , we get
![\dfrac{3\sin (-45)-4\sin [4(-45)]}{\sin [5(-45)]}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5Csin%20%28-45%29-4%5Csin%20%5B4%28-45%29%5D%7D%7B%5Csin%20%5B5%28-45%29%5D%7D)
On substituting 
, we get,
Therefore, the value of the given expression at is 
.
