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°
If 9/12 is how much it takes to bake a cake you would need 9 of 1 and1/2
Answer:
36 minutes
Step-by-step explanation:
The key is to get the same amount of time for each.
9 * 12 = 108
At 12 minutes per job,
in 108 minutes Alyssa could do
108/12 = 9 jobs
At 9 minutes per job,
Together in 108 minutes they could do
108/9 = 12 jobs
--------------------------
In 108 minutes Mirada does
12 - 9 = 3 jobs
108/3 = 36 minutes per job
Answer:
C
Step-by-step explanation:
think of a random K number (like 3 for example)
1/2(3) = 3/2
this equals k/2 = 3/2
6x^3y^9/36x^3y^-2 The x^3 values cancel each other out leaving the 1/6
(1/6)y^9/(y^-2) the y^-2 causes the y^9 to turn into y^11 (9+2=11)
(1/6)y^11/1 the 1/6 is multiplied by y^11
y^11/6
