Answer:
The correct answer is option B
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°
15 goes into 18 once with 3 remainder.
18/15-15/15=3/15=1/5
So the answer is:
Answer:37 degrees
Step-by-step explanation:
90 (right triangle always has a 90 degree angle) + 53 = 143
There are 180 degrees in a triangle so,
180-143 = 37
Answer:
35.32
Step-by-step explanation:
The regression equation usually demonstrated as
y=a+bx.
In the above equation y is the dependent variable, x is the independent variable, a is the intercept of regression line and b is the slope of regression line.
The given regression equation is
y^=0.06x+14.2
The predicted value of y can be computed by simply putting the value of x in above equation.
So,
y^=0.06(352)+14.2
y^=21.12+14.2
y^=35.32
Thus, the predicted value of y for x=352 is 35.32.
