The area of the largest circular fire that can be made in the fire pit is 452 in²
Explanation:
Given that the rectangular fire pit is 3 feet by 2 feet.
We need to determine the area of the largest circular fire that can be made in this square pit
The diameter is 2 feet.
The radius of the fire pit is 1 feet.
The area can be determined using the formula,
Substituting and , we get,
Simplifying, we get,
Now, we shall convert feet to inches.
To convert feet to inches, we need to multiply it with 12.
Since, the result in square feet, we need to multiply it with 12²
Thus, we have,
Rounding off to the nearest square inch, we have,
Hence, the area of the largest circular fire that can be made in the fire pit is 452 in²
Answer:
During the non-payment period of 4.5 years, Rich will accrue interest of $1,525.095.
Step-by-step explanation:
As he knows that he has option of beginning repayment of the loan in 4.5 years at the so at rate of 4.29% of $7,900 interest will be:
After first year: 4.29% of 7900
So, after the tenure of 4.5 years, to find total interest, the interest will be multiplied by 4.5:
=338.91*4.5
=1525.095
Answer:
Step-by-step explanation:
on the y- intercept the value of x is zero
1) is: (4,-1)
I: x>3
II: y<=2*x-5
a: (5,6):
I: 5>3 ?yes
II: 6<=2*5-5
6<=5 ?no
This is not a solution
b: (4,-1):
I: 4>3 ?yes
II: -1<=2*4-5
-1<=3 ?yes
This is a solution
c: (-3,-1):
I: -3>3 ?no
This is not a solution
d: (1,11):
I: 1>3 ?no
This is not a solution
2) is (8,-1):
I: x+y>=5
II: x-2*y>8
a: (6,1):
I: 6+1>=5
7>=5 ?yes
II: 6-2*1>8
4>8 ?no
This is not a solution
b: (8,-1):
I: 8+-1>=5
7>=5 ?yes
II: 8-2*-1>8
10>8 ?yes
This is a solution
c: (6,2):
I: 6+2>=5
8>=5 ?yes
II: 6-2*2>8
2>8 ?no
This is not a solution
d: (6,-2):
I: 6+-2>=5
4>=5 ?no
This is not a solution
3) is (6,2):
I: 2*x+4*y>0
II: -x+5*y>0
a: (0,0):
I: 2*0+4*0>0
0>0 ?no
This is not a solution
b: (-4,-2):
I: 2*-4+4*-2>0
-16>0 ?no
This is not a solution
c: (6,2):
I: 2*6+4*2>0
20>0 ?yes
II: -6+5*2>0
4>0 ?yes
This is a solution
d: (6,0):
I: 2*6+4*0>0
12>0 ?yes
II: -6+5*0>0
-6>0 ?no
This is not a solution
Answer:
5 7/12
Step-by-step explanation:
3+2=5
1/4+1/3
4x3=12 /12
3x1=3
4x1=4
3/12+4/1=7/12