We take the distance from points which indicates the location of the park and the mall.
For distance through north and east, we have positive values and negative for west and south.
Mall: (-3, -4)
Park: (3, 5)
The distance is calculate through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Substituting,
d = sqrt ((-4 - 5)² + (-3 - 3)²
d = sqrt 117 = 10.82
Thus, the distance between the mall and the park is approximately 10.82 miles.
Answer: $13.70
Step-by-step explanation:
.10* 17= 1.7, because $.10 is charged for everyday the book is late and the books were 17 days late.
1.7* 4= 6.8, because there were four books that were 17 days late.
.10* 23= 2.3, because $.10 is charged for everyday the book is late and the books were 23 days late.
2.3* 3= 6.9, because there were three books that were 23 days late.
6.8+6.9= 13.70 is the amount of money Sydney had to pay the library for her late books.
Answer:
det(A)=-det(B)
Step-by-step explanation:
We have two matrices A, and B.
Matrix B is obtained by swapping rows 1 and 3 of matrix A.
Whenever we swap rows in matrices, the determinants does not change but the sign changes.
Therefore
det(A)=-det(B)
Also no two rows of of both matrices are the same, therefore
det(A)≠0, and det(B)≠0
Perimeter of figure = 3 sides of rectangle + perimeter of semi-circle.
3 sides of rectangle = 15 + 12 + 15 = 42
Perimeter of semi-circle = πr = 3.14 * 6 = 18.84
In short, Your Answer would be: 42 + 18.84 = 60.84 m
Hope this helps!
