Utilize the! operation to determine the count of combinations.
8!/5! = 40,320/120 = 336
The circumcenter of the triangle is at the coordinates (2,1). To find this, we can outline the triangle based on the coordinates of points A (-1,5), B (-1,-3), and C (5,-3). Utilizing the distance formula helps us confirm that the triangle satisfies Pythagoras' theorem, hence it is a right triangle. In a right triangle, the circumcenter is located at the midpoint of the hypotenuse, which is determined to be (2,1).
$8,400
Explanation:
Monthly repayment = $150
Total Months of repayment = 10 months
Remaining balance after 10 months = $6900
Cumulative payment = $150 × 10 = $1500
Balance remaining = $6900
Overall debt amount:
(Remaining amount + total repaid)
$(6900 + 1500)
Calculating gives us 73 - 27 = 46
Next, 46 / 100 × 2628 = 1208
Adding together gives 2628 + 1208 = 3836
We understand that
1 foot corresponds to 12 inches.
Step 1
Dimensions of the plywood needed are
(12+3+3) x (18+3+3)------> 18 inches x 24 inches.
Step 2
Convert inches into feet:
18 in-------> 18/12=1.5 ft.
24 in------> 24/12=2 ft.
Step 3
To calculate the area of plywood needed:
A=b*h------> 1.5*2------> A=3 ft².
The final result is
3 ft²