Answer:
one has (_) and another has (+)
280
The 0 is in the ones.
The 8 is in the tens.
The 2 is in the hundreds.
Answer:
50y + 75x ≥ 1000 ;
50(15) ≥ 750;
x ≥ 4
y ≥ 15
Step-by-step explanation:
Given that :
Number of stickers sold = y
Cost of sticker = 50
Cost of bag tag = 75
Number of bag tags sold = x
Total worth of items sold ≥ 1000
1)
50y + 75x ≥ 1000
2.)
To make atleast 15 stickers
y ≥ 15
Atleast 15 stickers :
50(15) ≥ 750
3.)
A possible solution :
50(15) + 75(x) ≥ 1000
750 + 75x ≥ 1000
75x ≥ 250
x ≥ 3.33
x ≥ 4
y ≥ 15
<span>cos 2x + sqrt(2) sinx=1
</span><span>
Note that: cos 2x = cos^2x - sin^2x = (1-sin^2x) - sin^2x = 1 - 2sin^2x.
So, when alternatively written, you have the following equation:
</span>- 2sin^2x + sqrt(2)sinx + 1 = 1
- 2sin^2x + sqrt(2)sinx = 0
Then, let z=sin(x). So you get,
- 2z^2 + sqrt(2)z = 0
z(- 2z + sqrt(2)) = 0
Either z=0, or - 2z + sqrt(2) = 0 ---> z=sqrt(2)/2.
Then, since z=0 or z=sqrt(2)/2, therefore sin(x)=0, or sin(x)=sqrt(2)/2.
Then, for you remains just to list the angles. (Let me know if this is not fair or if you got questions.)
Surface area= 2(6x15)+2(7x15)+2(6x7)
=180+210+84
=474m
Volume=15x6x7
=630m^2
