Yes 0.634 is a rational
number.
Rational numbers are those numbers that can be still expressed in
standard form or in fraction form and vice-versa. Unlike irrational numbers
that are opposed to the definition of rational numbers. These values include
pi, square root of two and etc. These values are impossible to fractionize.
To better illustrate this
circumstance.
We can have calculate a number that will have a quotient of 0.634
or a fraction that is equal to the given value.
<span><span>
1. </span><span> 634/1000 =
0.634</span></span>
<span><span>2. </span><span> 317/500 = 0.634
</span></span>
Let the two sides of a right triangle be equal to one, which means that the hypotenuse is √2
Since cosa=adjacent side / hypotenuse
cos45=1/√2
We can rationalize the denominator by multiplying numerator and denominator by √2
√(2)/2
or if you prefer: √(1/2)
The fact that this triangle is a right angle triangle makes you now have 2 angles and the 1 side given, so it should be solvable.
First, You know that A=46 and C=90 as it is the right angle, and you know that the sum of any triangle's angles is 180. so now B=180-(90-46)=44
Now to the sides,
sin(B)=opp./hyp.=b/c=8/c=sin(44)
so, c=8/sin(44) which is approximately 11.52 unit length
now, use Pythagoras to find a,
a=√c²-b² =√11.52²-8² which is approximately 8.3 unit length.
Hope this helps.
4,230, which is solved by multiplying both the questions and the students
