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.
Given:
The rule of input and output function is:

To find:
The answer if we put 19.
Solution:
Consider the input and output function is:

Substitute
, we get


Therefore, the required answer is 6.
Answer:
565.6 ft³
Step-by-step explanation:
Volume = Rectangular prism + circular prism
= (6 x 6 x 11) + (3.14 x 3² x 6)
= 396 + 169.6
= 565.6
Answer:
x=1/6
Step-by-step explanation:
3x+4=9x+3
isolate x
1=6x
1/6=x
Area = length x width
replace the known information into the equation:
area = 2/3
width = 1/2
so now the formula looks like:
2/3 = 1/2 x L
to solve for L we divide both sides by 1/2
L = 2/3 / 1/2 which = 2/3 * 2/1 = 4/3 = 1 and 1/3 km