Area=length x width
A=lw
A=12 3/8
l=x
w=2 3/4
first, make your mixed numbers into improper fractions
12 3/8 --> 99/8
2 3/4 --> 11/4
then, set equal denominators
99/8 and 22/8
99/8=22/8x --plug in values
99/22=x --divide both sides by 22/8
convert improper fraction to mixed number
99/22 --> 4 11/22 --> 4 1/2
therefore, the length is 4 1/2 meters
Each must sell 35,678 dollars each year not counting commision to add 6 percent of that.
Answer:
Step-by-step explanation:
The determinant of a matrix is a special number that can be calculated from a square matrix.
...
To work out the determinant of a 3×3 matrix:
Multiply a by the determinant of the 2×2 matrix that is not in a's row or column.
Likewise for b, and for c.
Sum them up, but remember the minus in front of the b.
So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
First game= 128
Second game= 305
Third game= 490
Add the points per game together.
= 128 + 305 + 490
= 923 points
ANSWER: He scored 923 points during the three games.
Hope this helps! :)