Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
Answer:
(-5,5)
Step-by-step explanation:
if you replace x and y with the numbers, the answer will be true.
Let price of one scarf be $x
Price of the other is 3 more than $x
Therefore price of the other scarf =$x +3
The total price she paid = $25.00
That is, x+x+3=25
2x+3=25
2x=25-3
2x=22
x=22/2
x=11
The price of one scarf is $11 and the price of the other is 11+3=$14
The price of the expensive scarf =$14.
Answer:
38.2%
Step-by-step explanation:
1/7 ≈ 14.29%
1/10 = 10.00%
3/8 = 37.50%
The total that Johnny has allocated for food, gas, and rent is ...
14.29% + 10.00% + 37.50% = 61.79%
So, the remaining amount is ...
100% -61.79% = 38.21%
About 38.2% of Johnny's income remains.