Americans work an average of 34.4 hours per week. The average hours per week worked varies based on gender, marital status, and race.
Substitute (-11) in for x. You will get 2(-11)-19. Then, use the order of operations to get -22-19=
-41.
Hope that helps!
Step-by-step explanation:
The answer is OPTION C
Find the Inverse of a 3x3 Matrix.
First
Find the Determinant of A(The coefficients of e
Proceed towards finding the CO FACTOR of the 3x3 Matrix.
+. - +
A= [ 1 -1 -1 ]
[ -1 2 3 ]
[ 1 1 4 ]
The determinant of this is 1.
Find the co factor
| 2 3 | |-1 3 | |-1 2 |
| 1. 4. | |1 4 | |1. 1 |
|-1. -1 | |1 -1 | |1 -1
| 1. 4 | |1. 4| |1 1|
|-1. -1 | |1 -1 | |1. -1
|2. 3| |-1. 3| |-1 2|
After Evaluating The Determinant of each 2x 2 Matrix
You'll have
[ 5 7 -3]
[3 5 -2 ]
[-1 -2 1]
Reflect this along the diagonal( Keep 5,5 -2)
Then switching positions of other value
No need of Multiplying by the determinant because its value is 1 from calculation.
After this
Our Inverse Matrix Would be
[ 5 3 -1 ]
[7 5 -2 ]
[ -3 -2 1]
THIS IS OUR INVERSE.
SO
OPTION C
Answer: Height at which the wire is attached to the pole is 12 feet.
Explanation:
Since we have given that
Length of the wire = 20 feet
Let the height at which wire is attached to the pole be h
and distance along the ground from the bottom of the pole to the end of the wire be x+4
Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".
But height cant be negative so, height will be 12 feet.
Hence, height at which the wire is attached to the pole is 12 feet.
Answer:
25.5in²
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = (1/2) x (sum of the lengths of the parallel sides) x height
1/2 x (6 + 11) x 3 = 25.5 in²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
