Answer:
Height = 19mm.
Step-by-step explanation:
Area of a regular polygon = (A * P) / 2 where A = side / (2 * Tan (π / N)) where, N = Number of sides, A = Apothem, P = Perimeter.
Here A = 5, P = 5*12 = 60 so
Area of the base = (5 * 60) / 2 = 150 mm^2.
Volume = area base * height so
Height = volume / area of base
= 2850 / 150
= 19 mm.
Answer:
exactly one, 0's, triangular matrix, product and 1.
Step-by-step explanation:
So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.
"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).
Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.
Step-by-step explanation:
=-32-9 08 3X-97y
9- 2⋅ x+9- 7⋅ y+(1 0- 7⋅ x+3- 2)
Answer:
C and D. You're welcome :)
Step-by-step explanation:
Answer:
5 and 11
Step-by-step explanation:
Make equations:
x+y = 16
3x-4 = y
Substitute 3x-4 as y in x+y = 16
You get x + 3x - 4 = 16
Simplify into 4x - 4 = 16
Add 4 on both sides
you get 4x = 20
Divide each side by 4,
You get x = 5. Plug 5 back into x+y = 16
Subtract 5 from both sides, and you get y = 11
