We have that
2sin²<span>x - sinx - 3 = 0
</span>
Let
A------> sin x
so
2A²-A-3=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solutions are
A=-1
A=1.5------> is not solution because sin x <span>can not be 1.5
the solution is
A=-1
therefore
sin x=-1
x=arc sin(-1)=-90</span>°
the answer is
sin x=-1x=-90° or 270°
100+(34-(4+2)*3)/4
=100+(34-6*3)/4
=100+(34-18)/4
=100+16/4
=116/4
=29
29 is the answer
Answer:
Todd originally had 64 games; Jaylon had eight.
Step-by-step explanation:
If Todd has 56 games now, after having given eight games to Jaylon, Todd must have started with 64 games.
Let x = Jaylon's original games.
If Todd has <em>250 % more games</em> than Jaylon, he has <em>3.5 times as many </em>games as Jaylon.
Let x = Jaylon's original number of games. Then
x+ 8 = Jaylon's games now
∴ 56 = 3.5(x+8)
Distribute the 3.5 56 = 3.5x +28
Subtract 26 from each side 3.5x = 26
Divide each side by 3.5 x = 8
Jaylon originally had eight video games.
Check:
64 - 8 = 3.5(8 + 8)
56 = 3.5 × 16
56 = 56
Okay so for the first one all you have to do is divide 4.90 by 2.5 and get 1.96. So your answer for the first on is $1.96.
For the second one you just have to divide 416 by 13 and you get 32. So each friend gets 32 crayons.
Hope this helped you (;
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b) 
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines:
