In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.
Do 15 and 40 have any common factors ?
Let's see . . .
The factors of 15 are 1, 3, <em>5</em>, and 15 .
The factors of 40 are 1, 2, 4,<em> 5</em>, 8, 10, 20, and 40 .
Ah hah ! Do you see that ' <em>5</em> ' on both lists ? That's a common factor.
So 15/40 is NOT in lowest terms.
Divide the numerator and denominator both by 5 :
15 / 40 =<em> 3 / 8</em>
3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.
By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is 
.
<h3>How to find the exact value of a trigonometric expression</h3>
<em>Trigonometric</em> functions are <em>trascendent</em> functions, these are, that cannot be described algebraically. Herein we must utilize <em>trigonometric</em> formulae to calculate the <em>exact</em> value of a <em>trigonometric</em> function:
By using properties for <em>trigonometric</em> functions and <em>trigonometric</em> expressions, we find that the <em>exact</em> value of the sine of the angle 5π/12 radians is .
To learn more on trigonometric functions: brainly.com/question/15706158
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Answer:
a. O = h - 40
b. 0, 4, 8, 12
Step-by-step explanation:
Let numver of overtime hours Jim workes for defined by O.
Standard working hours in a week for Jim = 40 Hours
If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.
⇒ O = h - 40
now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be
O = 40 - 40 = 0 Hours
O = 44 - 40 = 4 Hours
O = 48 - 40 = 8 Hours
O = 52 - 40 = 12 Hours respectively.
Given :
High Construction Company distributed 8% of its total profit, an amount equal to $5500 in bonus this year.
To Find :
The total profit .
Solution :
Let , total profit be x .
It is given that 8 % of the total profit is equal to $5500 .
So ,
Therefore , total profit is $68750 .
Hence , this is the required solution .
Answer:
X=3
Step-by-step explanation:
2*
2*9=18
