Answer:
30
Step-by-step explanation:
To find the determinant of a 3x3 matrix, you can use this method. (See picture.)
Start with the first number in the top row, and block off the row and column. A 2x2 matrix will be left. Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.
Repeat for the other two numbers in the top row. Add the first result, subtract the second, and add the third.
det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]
det A = -2 (3)(-5) − 0 + 0
det A = 30
Answer: m∠7=130°
Step-by-step explanation:
If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.
By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.
Then, if m∠2=50°, then m∠3 is:
m∠3
°
By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.
Therefore:
m∠3=m∠7
m∠7=130°
Answer:
21
Step-by-step explanation:
We need to determine the percentage of defects of shoes for brand A
Percentage of shoes that have defect = (5/600) x 100 = 0.83%
shoes that would have defects when 2500 shoes are manufactured = 0.83% x 2500 = 0.0083 x 2500 = 20.75
rounding off to the nearest whole number gives 21 shoes
Answer:
0 and 0
Step-by-step explanation:
The only number that can be applied to the expression without changing the sum is 0, for example 5 + 10 = 15, adding 2 0's will be 0 + 5 + 10 + 0 = 15 :D
Answer:
D: New York City is the correct answer
