Answer:
Solution given:
B=12.56cm²
P=12.56cm
H=6cm
Surface area of cylinder=P*H+2B=100.48cm²
Volume=B*H=12.56*6=75.36cm³
Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.
Step-by-step explanation:
The triangle is 3x10/2 = 15 ft.
The rectangle is 5x10 = 50 ft.
Total = 65 ft.
Answer:
Acute angle
Step-by-step explanation:
Given that m<C =
, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.
m<C = 
m<C = 
m<C = 
m<C = 76°
Acute angles are less than 90°.
m<C is less than 90°, therefore it is an acute angle.
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°