I need help on questions 9, 10, and 11 please!

Mathematics

1 answer:

bulgar [2K]3 years ago

8 0

In general, to find the surface area of a prism (a shape with 2 bases) is
Area of Base*2 + Lateral Area (Lateral area = Perimeter of bases * height)

#9 Area of base= 2×1÷2=1 *2=2
Lateral area= 2+1+2.2=5.2 5.2*3=15.6
Answer=17.6
#10 Area of Base= 120*2=240
Lateral Area=500
Answer=740
#11
Area of base=8*2=16
Lateral Area= 41.4
Answer=57.4

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A recipe calls for 4 sliced apples. You cut the apples into thirds. How many pieces of apple do you have? A) 3 pieces B) 6 piece

OverLord2011 [107]

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K = [ 14 -13 0 3 8 -1 -10 -2 5 ] find the determinant of K

spin [16.1K]

I suppose K is the matrix

$K = \begin{bmatrix}14 & -13 & 0 \\ 3 & 8 & -1 \\ -10 & -2 & 5\end{bmatrix}$

To compute det(K), you can use a simple cofactor expansion along the first row:

$\det(K) = 14\times\det\begin{bmatrix}8 & -1 \\-2 & 5\end{bmatrix} - (-13)\times\det\begin{bmatrix}3 & -1 \\ -10 & 5\end{bmatrix} + 0\times\det\begin{bmatrix}3 & 8 \\ -10 & -2\end{bmatrix} \\\\ \det(K) = 14\times(8\times5-(-1)\times(-2)) + 13\times(3\times5-(-1)\times(-10)) + 0 \\\\ \det(K) = 14\times38 + 13\times5 = \boxed{597}$