Answer:
integers are closed under division
Step-by-step explanation:
Integers are not closed under division.Let us consider two integers i and j.
Then ![\[\frac{i}{j}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bi%7D%7Bj%7D%5C%5D)
need not necessarily be an integer. For example, 2 and 3 are integers but ![\[\frac{2}{3}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B2%7D%7B3%7D%5C%5D)
is not an integer. So the first option , namely, integers are closed under division is not true.
On the other hand, the remaining three options given are correct.
Translation doesn't change the shape, size, or orientation of anything.
It just moves things around.
So the line segments in the image are not only congruent to the ones
in the original figure. They're also parallel.
Answer:
the awser is d if you round it up
Step-by-step explanation:
Answer:
if sin (x-3) degrees = cos (2x+6) degrees, find the value of x.
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Note: sin and cos are complementary functions....
sin(x) = cos (90-x)
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Your Problem:
sin(x-3) = cos(90-(x-3))
Equation:
90-[x-3] = 2x+6
90-x+3 = 2x+6
3x = 93-6
x = 31-2
x = 29
Step-by-step explanation:
Given:
s is inversely proportional to t.
When s = 0.5, t = 7.
To find:
The value of s when t=0.8.
Solution:
s is inversely proportional to t.
...(i)
Where, k is the constant of proportionality.
Putting s=0.5 and t=7, we get
Putting k=3.5 in (i), we get
This is the equation of proportionality.
Putting t=0.8, we get
Therefore, the value of s is 4.375 when t=0.8.
