El numeral 32012(4) representado en el sistema decimal, porfavor
1 answer:
You might be interested in
Answer:
so that number becomes divisible by 3, 6 and 9.
Step-by-step explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that , then its sum of digits is:
(Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0
(
)
N = 3
(
)
N = 6
(
)
N = 9
(
)
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:
It is quite evident that so that number becomes divisible by 3, 6 and 9.
Answer:
Please find attached the image of the quadrilateral TRAM after a rotation of -90 degrees, created with MS Excel
Step-by-step explanation:
The given coordinates of the vertices of the quadrilateral TRAM are;
T(-5, 1), R(-7, 7), A(-1, 7), M(-5, 4)
By a rotation of -90 degrees = Rotation of 90 degrees clockwise, we get;
The coordinates of the preimage before rotation = (x, y)
The coordinates of the image after rotation = (y, -x)
Therefore, we get for the the quadrilateral T'R'A'M', by rotating TRAM -90 degrees as follows;
T(-5, 1) → T'(1, 5)
R(-7, 7) → R'(7, 7)
A(-1, 7) → A'(7, 1)
M(-5, 4) → M'(4, 5)
The image of TRAM after -90 degrees rotation is created by plotting the derived points of the quadrilateral T'R'A'M' on MS Excel and joining the corresponding points as presented in the attached diagram.
