Answer:
10
Step-by-step explanation:
[1 -2]
[3 4]
We can obtain the determinant of the above matrix by doing the following:
Determinant =(1 × 4) – (3 × –2)
Determinant = 4 – – 6
Determinant = 4 + 6
Determinant = 10
Thus, the determinant of the above matrix is 10
Answer:
ZM = 8
WM = 12
XZ = 7
XN = 21
LZ = 20
Step-by-step explanation:
The centroid of a triangle is the point of intersection of the midpoint of the each of the three sides of a triangle. The centroid of a triangle is located inside the triangle and it is known as the center of gravity.
The centroid theorem for a triangle states that the centroid of a triangle is located at 2/3 of the distance from the vertex of the triangle of the middle of the opposite side.
ZM = (2/3)WM (centroid theorem)
Therefore: WZ = (1/3)WM
WM = 3WZ = 3 * 4 = 12
ZM = (2/3) * WM = 2/3 * 12 = 8
ZN = (2/3)XN (centroid theorem)
XN = (3/2)ZN = 3/2 * 14 = 21
XN = 21
XZ + ZN = XN
XZ + 14 = 21
XZ = 7
LZ = (2/3)LY (centroid theorem)
Therefore: ZY = (1/3)LY
LY = 3ZY = 3 * 10 = 30
LZ = (2/3) * LY = 2/3 * 30 = 20
9514 1404 393
Answer:
C) x = 1/2 cm
Step-by-step explanation:
Apparently, we're to assume the units of x are centimeters. The volume of the cube is the product of its dimensions:
V = x³ = 1/8
Then the value of x is ...
x = ∛(1/8) = 1/∛8
x = 1/2
_____
<em>Additional comment</em>
It can be useful to memorize the squares and cubes of small integers. The cubes you see most often are ...
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125; 6³ = 216; 7³ = 343
Answer:
y = 18
Step-by-step explanation:
To find the value of y, you must multiply the fraction 8/3 by its reciprocal 3/8 to both sides. That means you do 48 times 3/8 to get your y value. Once you multiply you get 144/8 which simplifies to 18.
Answer:
1/10 or 0.1 or 10%
Step-by-step explanation:
