Answer:
h = 19 mm
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the base and h the height )
the base is a regular pentagon whose area (A) is calculated as
A = pa ( p is the perimeter and a the apothem )
p = 5 × 12 = 60 mm and a = 5 mm , then
A = × 60 × 5 = 30 × 5 = 150 mm²
given V = 2850 , then
150h = 2850 ( divide both sides by 150 )
h = 19 mm
Answer:
B (lmk if you want me to explain)
Step-by-step explanation:
the point slope form is
y-y1=m(x-x1)
y-12=5/6(x--9)
y-12=5/6(x+9)
$9890 + $8250 + $680 = $18,820 for one year
Since she is going for four years, we need to multiply that number by four.
$18820 * 4 = $75,280
Total: $75,280
(a) is false. Consider the identity matrix, . Then
bu
(b) is false. Since is invertible, we have
but in general, matrix multiplication is non-commutative.
(c) is true. Let ; then
and so on, down to
which is to say .
(d) is false. Consider , so that
which is singular (i.e. determinant is zero), and thus not invertible.
(e) is true. It follows from the distributivity of matrix multiplication:
(f) is false for the same reason as (b). Expanding the product gives
but in general, .