Answer:
6 ft
Step-by-step explanation:
Let the width = w
Then the length = 4w - 3
perimeter = 2(length + width)
perimeter = 2(4w - 3 + w)
perimeter = 2(5w - 3)
perimeter = 10w - 6 = 54
10w - 6 = 54
10w = 60
w = 6
Answer: The width is 6 ft
Answer: 140^3
Step-by-step explanation:
The 3 is an exponent. To solve this, you basiclly have to multiply the three numbers and add a 3 exponent.
The relationship between the number of pentagons and the perimeter will be

From the diagram in the question, each side of a pentagon has length
.
Also, each time another pentagon is attached, a side is removed.
Using these observations, we can create a relationship between the number of pentagons,
, and the perimeter,
, as follows
For 

For 

For 

The relationship will be

Learn more about perimeter here: brainly.com/question/17756657
Answer:
$7200 in the fund rose 6% n $2800 in the fund rose 9%
Step-by-step explanation:
let x be the amount in the fund rose 6%
gain in one year=x*6%=0.06x
total amount is 10000
so amount in the fund rose 9% = 10000-x
gain in one year=(10000-x)*9%=900-0.09x
total gain=0.06x+900-0.09x=900-0.03x
=684
900-684=0.03x
0.03x=216
x=7200
the other fund amount=10000-7200=2800
Answer:
DF = 57
Step-by-step explanation:
DE + EF = DF
(4x + 10) + (2x - 1) = 9x - 15
Combine like terms on the left side
6x + 9 = 9x - 15
Subtract 6x on both sides
9 = 3x - 15
Add 15 on both sides
24 = 3x
Divide by 3 on both sides
x = 8
DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57
Checking:
(4(8) + 10) + (2(8) - 1) = 9(8) - 15
(32 + 10) + (16 - 1) = 72 - 15
58 - 1 = 72 - 15
57 = 57