We know that sin2x=2sinxcosx
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
3. (a)
Add the three totals.
Total sales for all three: $2030 + $1540 + $1800 = $5370
Now divide each person's sales by the total sales to find each person's fraction of the sales.
Lola: 2030/5370
Ahmed: 1540/5370
Tommy: 1800/5370
3. (b)
Multiply each fraction from part (a) by $100.
Lola: 2030/5370 * $100 = $37.80
Ahmed: 1540/5370 = $28.67
Tommy: 1800/5370 = $33.52
This line y = 4/5 x - 3 has slope = 4/5
Perpendicular lines, slope is opposite and reciprocal so slope of a line that is perpendicular to the line y = 4/5 x - 3 is -5/4
Answer
- 5/4
Answer:
-69/200
Step-by-step explanation:
-0.345 is in decimal form.
In Fractional form (p/q)
=-345/1000
To simplify, divide the numerator and the denominator by the G.C.D(Greatest Common Divisor) of p and q.
In this case,G.C.D of 345 and 1000 is 5.
Simplified form=-69/200 [ANS]
