No. which have factors 2 & 5 have 2 & 5 as their prime factor
therefore, No. are :
2*5 = 10
2*5*2 = 20
2*5*3 = 30
Subtract 3x from both sides:
-6y = -3x + 6
divide both sides by -6 to get y by itself:
y = 1/2x - 1
function notation is rewriting y as a function:
f(x) = 1/2x -1
23. The answer is D. If you multiply 0.8 by 5 you get 4 meters which means it would take 5 minutes. Multiplying it by 5 will give you a whole number therefore easier to find on the graph.
24. The answer is G. The square root of 5 is 2.23 and the square root of 2 is 1.4
You can calculate polygon area with only apothem OR side length.
apothem only
area = apothem^2 * 6 * tan (180/6)
area = 10.4^2 * 6 * 0.57735
area = 108.16 *
<span>
<span>
<span>
3.4641
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.677056
</span>
</span>
</span>
square yards
side length only
area = 6 * 12^2 * / 4*tan(30)
area = 864 / 4 * 0.57735
area = 864 /
<span>
<span>
<span>
2.3094
</span>
</span>
</span>
area =
<span>
<span>
<span>
374.1231488698
</span>
</span>
</span>
square yards
If apothem and side length were given with more precision, the answers would be closer.
Source:
http://www.1728.org/polygon.htm
Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.