Answer:
Width = 15 feet
Length = 45 feet
Step-by-step explanation:
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Perimeter of a rectangle = 2L + 2W
The length is 3 times the width.
L = Length = 3W
W = Width
P = 120 ft
Hence:
120 = 2L + 2W
120 = 2(3W) + 2W
120 = 6W + 2W
120 = 8W
W = 120/8
W = 15 feet
Solving for Length
L = 3W
L = 3 × 15 feet
L = 45 feet
Therefore, the dimensions of your very own dog park is
Width = 15 feet
Length = 45 feet
Answer:
It is rational
Step-by-step explanation:
The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1
Therefore,
(3pi)/(2pi) = (3/2)*(pi/pi)
(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above
(3pi)/(2pi) = 3/2
we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.
Answer:
The value of k that makes the relationship shown in the table below proportional is 
Step-by-step explanation:
The relation is proportional if 
Putting values of x and y to find k.
For x =2 and y =1 k is: 
For x =4 and y =2 k is: 
For x =6 and y = 3 k is: 
For x = 8 and y = 4 k is: 
For x =10 and y = 5 k is: 
So, The value of k that makes the relationship shown in the table below proportional is
Felt appears to be right triangles
A appears to be an equilateral triangle
Answer:
C. a higher monthly payment.
Step-by-step explanation:
<h3>Answer options:</h3>
Rate adjustment resulted in
<u>A. a lower interest rate.
</u>
- No, interest rate increased from 0.4 to 0.5 percent
<u>B. a higher principal.
</u>
- No, principal decreased from $200000 to $187000
<u>C. a higher monthly payment.
</u>
- Yes, monthly payment increased from $1059.85 to $1162.56
<u>D. a higher number of payments.</u>
- No, number of payments remained as 336
