Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
Answer: the slope intercept form for this situation is y = 0.07x + 39
Step-by-step explanation:
The cell phone package charges $39 even if 0 minutes are used during the month. This means that the package has a constant charge of $39.
Each additional minute of talk time adds $0.07. Assuming x additional minutes of talk time is made, the total cost of x additional minutes of talk time would be
0.07x + 39
Let y represent the total cost of x additional minutes, then
y = 0.07x + 39
The equation for the slope intercept form is expressed as
y = mx + c
Where
m = slope
c = intercept.
Comparing with our equation,
The slope is 0.07 and the intercept is 39
Working attached below:
Hope this helps! Any questions let me know :)
