Answer:
sin70°
Step-by-step explanation:
Given sin110° where 110° is an obtuse angle in the second quadrant.
The related acute angle in the first quadrant is 180° - 110° = 70°
Thus
sin110° = sin70°
Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula 
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula 
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or 
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula 
and substitute values for , 
, and 
. From there, we can convert the equation into slope-intercept form.
Since represents the slope, substitute 1 in its place. Since and represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:
Answer:
Step-by-step explanation:
The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is
Answer:
10 minutes
Step-by-step explanation:
Let the number of minutes = x
It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month.
For Guido
$4 + 0.20x
His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance.
For his mum
$2 + 0.40x
Guido's mom said they have to spend the same amount.
Equating both Equations together
$4 + 0.20x = $2 + 0.40x
$4 - $2 = 0.40x - 0.20x
2 = 0.20x
x = 2/0.20
x = 10 minutes
Guido can talk for 10 minutes
