C)3.25
195÷60=3.25
every min is 60 seconds
Answer:
87.3
Step-by-step explanation:
I did the math
Answer:
He can use the factors of 36 to determine the number of groups he can divide the class into such that they are equal.
The Factors (excluding 1) are;
2, 3, 4, 6, 9, 12, 18
Using these therefore he can divide them;
- Into 3 groups each with 12 people.
- Into 4 groups each with 9 people.
- Into 6 groups each with 6 people.
- Into 9 groups each with 4 people.
- Into 12 groups each with 3 people.
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
![\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C0%260%260%261%5Cend%7Barray%7D%5Cright%5D)
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
![\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%260%26a%5C%5C0%261%260%260%26b%5C%5C0%260%261%260%26c%5C%5C0%260%260%261%26d%5Cend%7Barray%7D%5Cright%5D)
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
