Answer:
83.3%
Step-by-step explanation:
The probability of rolling a 3 on a 6-sided dice is 1/6
Since you don't want a three, there's a 5/6 chance of not rolling a 3
5/6 (use calculator and divede 5 by 6) = 0.833333 (move decimal 2 to the right) = 83.3%
Therefore, the most reasonable answer would be C, 83.3%
Answer:
Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.
If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.
Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.
Answer:
Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles
Part B) The width of the river is about 
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Part A) we know that
In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent
so
m<DCE=m<ACB -----> by vertical angles
m<EDC=m<ABC -----> is a right angle
m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees
Part B) we know that
The triangles ABC and EDC are similar -------> see Part A
therefore

substitute the values and solve for AB


Answer:
If a line is parallel to another line, the slopes of both lines are the same. So far the equation would be, y=7/6x+b. To find the value of b, you substitute the given point into the equation. -2=7/6(-1)+b, -2=-7/6+b, b=-5/6. So the equation of the line is y=7/6x-5/6.
:)
Answer:
312km
Step-by-step explanation:
1. Multiply. 4800 x 7% = 3744
2. Divide. 3744 / 12 = 312km sq.
So the area after 12 years is 312 km sq.