Width = w
Length = w + 1
Area = 30
w(w+1) = 30
w² + w = 30
w² + w - 30 = 0
w² + 6w - 5w - 30 = 0
w(w + 6) -5(w + 6) = 0
(w + 6)(w - 5) = 0
w = 5 or -6
Since the width cannot be negative, the width is 5 units.
Hence, the width is 5 units and the length is 6 units.
Answer:
84.85
Step-by-step explanation:
1.5[3(14.5+7)-3]-7.4
1.5[3*21.5-3]-7.4
1.5*61.5-7.4
=84.85
If the 5 scores have a mean of 8, then their total sum would be 8*5 = 40
Now if one score if added (let's call this score x), there are 6 scores and the mean changes to 9, thus:
(40 + x)/6 = 9
40 + x = 54
x = 14
Answer: x=72, y=26
Step-by-step explanation:
Since a line is 180°, we can do:
2x+10+y=180
2x+y=170
Since a triangle is 180° also, we can do:
x+y+82=180
x+y=98
If we subtract x+y=98 from 2x+y=170, we get:
2x+y=170
x+y=98
x=72
If we insert x=72 into x+y=98, we get:
72+y=98
y=26
We can check our answer by inserting x=72 and y=26 into x+y+82=180
72+26+82=180
98+82=180
180=180
