Answer:
it is irrational
Step-by-step explanation:
A rational number is one that can be written as n/m, where n and m are both integers.
Let a be a rational number such that a=n/m
Let b be a rational number such that b=p/q.
Notice n,m, p, and q are all integers.
When we divide a by b, a/b=(n/m)/(p/q)
But we know that complex fractions can be simplified by multiplying the numerator by the denominator.
a/b=(n/m)*(q/p)=nq/mp.
One of the properties of integers is closure under multiplication: that is to say, the product of integers is always an integer. So nq and mp are both integers.
By the definition of rational numbers nq/mp is a rational number. Therefore, a/b is a rational number.
The answer to 2/3 x 1/2 is 2/6 or 1/3
To find the decimal form you just have to divide 1 by 3
You get 0.3333333333........ repeating
So just put a repeating bar over 3 in 0.3
Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
The polar coordinates of (-4, 150°) will be and 5069.09939523°
<h3>What is the coordinate about?</h3>
The formula for this conversion will be:
r =
θ =
=
the inverse of: is θ = 5069.09939523°
Therefore:
θ = 5069.09939523°
So the polar coordinates of (-4, 150°) will be and 5069.09939523°
Learn more about polar coordinates from
brainly.com/question/14965899
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