Answer: $874
Step-by-step explanation: multiply 23 by 38 to get the total cost
4x-y=5 Would be the y-intercept (0,7) 2x+y=7 Would be the x-intercept (3.5,0)
Sorry if wrong
Answer:
The length of the necklace is 12.20 foot
Step-by-step explanation:
Given as :
The height of the ice cream cone to the ground = h = 10 foot
The angle make by the necklace of the ice cream cone = 55°
Let The length of the necklace = L foot
<u>Now, from figure </u>
Height = BC = h foot
The length of the necklace = L = AC
So, Sin angle = 
Or, Sin 55° = 
Or, 0.8191 = 
Or, 0.8191 = 
Or, L = 
∴ L = 12.20 foot
So, The length of necklace = L = 12.20 foot
Hence The length of the necklace is 12.20 foot Answer
Step-by-step explanation:
In trigonometry, the law of sines is an equation that relates the length of the sides of a triangle (any type of triangle) to the sines of its angles. This is expressed mathematically as
,
where
,
, and
are the lengths of the sides of the triangle and
,
, and
are the opposite angles (as shown in the figure below). Likewise, the law is sometimes written as it reciprocals,
.
Therefore,

Alternatively, you can solve this question using the definition of the trigonometric function sine. For the angle
in the figure below,
.
Therefore,

Answer:
x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z
or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z
Step-by-step explanation:
Solve for x:
sin(2 x) = cos(x + 30 °)
Rewrite the right hand side using cos(θ) = sin(θ + π/2):
sin(2 x) = sin(30 ° + π/2 + x)
Take the inverse sine of both sides:
2 x = -30 ° + π/2 - x + 2 π n_1 for n_1 element Z
or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z
Add x to both sides:
3 x = -30 ° + π/2 + 2 π n_1 for n_1 element Z
or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z
Divide both sides by 3:
x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z
or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z
Subtract x from both sides:
Answer: x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z
or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z