I think that it’s A, Perpendicular (correct me if I’m wrong)
Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
Answer:
1018.28
Given -
Diameter of cone = 18 cm
To get the radius divide it by 2 -
Radius, r = 18/2 = 9
height, h = 12 cm
To find -
Volume of cone.
Solution -
Volume = 1/3 hπr²
→ V = 1/3 18 × 22/7 × 9 × 9
→ V = 7128/7
→ V = 1018.28
Therefore, the volume of the cone is 1018.28.
Answer:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
Step-by-step explanation:
wrenches produced in-house ( W111 = x₁ W222 = x₂ W333 = x₃ )
x₁ x₂ and x₃
wrenches produced outside (W111 = x₄ W222 = x₅ W333 = x₆ )
x₄ x₅ and x₆
Objective function:
z = 17*x₁ + 20.40*x₄ + 19*x₂ + 21.85*x₅ + 23*x₃ + 25.76*x₆ to minimize
First constraint: Manufacturing hours: 16500
2.5*x₁ + 3.4*x₂ + 3.8*x₃ ≤ 16500
Second constraint: Inspection hours : 1600
0.25*x₁ + 0.3*x₂ + 0.45*x₃ ≤ 1600
Three demands constraint:
x₁ + x₄ = 2000
x₂ + x₅ = 3750
x₃ + x₆ = 1700
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 x₄ ≥ 0 x₅ ≥ 0 x₆ ≥ 0 all integers
After 6 iterations with on-line solver the solution is:
z (min) = 150090.8 ( monetary units ) ( $ )
x₁ = 2000 x₄ = 0 x₂ = 3382 x₅ = 368 x₃ = 0 x₆ = 1700
move all terms to the left side and set equals to zero. then set each factor equal to zero
