2.95 miles
The question involves radio direction finders placed at two points, A and B, which are 4.32 miles apart on an east-west line. The transmitter has bearings 10.1 degrees from A and 310.1 degrees from B. The task is to determine the distance from A.In order to determine the distance from A, the first step is to construct a diagram of the scenario to visualize the placement of the three points, A, B, and the transmitter. To do so, a coordinate system is used, with A being located at the origin (0,0).The bearing of the transmitter from A is 10.1 degrees, which can be plotted on the diagram as a straight line from the origin to an angle of 10.1 degrees to the east. Similarly, the bearing of the transmitter from B is 310.1 degrees, which can be plotted on the diagram as a straight line from point B to an angle of 49.9 degrees to the west.To determine the distance from A, the Law of Cosines can be applied, which states that c^2 = a^2 + b^2 − 2ab cos(C), where c is the unknown side, a and b are the known sides, and C is the angle opposite the unknown side. In this case, c is the distance from A, a is the distance from B, and b is the distance between A and B. The angle C is equal to the sum of the two bearings (10.1 + 49.9 = 60 degrees).Therefore, c^2 = a^2 + b^2 − 2ab cos(C) can be rewritten as:dA^2 = d^2 + 4.32^2 - 2d(4.32)cos(60)dA^2 = d^2 + 4.32^2 - 2d(4.32)(1/2)dA^2 = d^2 + 4.32^2 - 2.16dTo solve for dA, the equation can be rearranged and solved for d:0 = d^2 - 2.16d + dA^2 - 4.32^2d = 1.08 ± sqrt(1.08^2 - dA^2 + 4.32^2)The positive root of this equation can be used to determine dA:dA = 1.08 + sqrt(1.08^2 - d^2 + 4.32^2)dA = 1.08 + sqrt(1.08^2 - 4.32^2 cos^2(10.1))dA ≈ 2.95 milesTherefore, the distance from A is approximately 2.95 miles.
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The inner and outer Radii of a cylindrical pipe are 5 cm and 4 cm respectively. find the area of cross section of the pipe.
Answer:
28.3 cm²
Step-by-step explanation:
You find the area of the whole section which is 5²π = 25π.
Then you find the area of the empty part which is 4²π = 16π.
Then you subtract to get 9π which is 28.27433388......
= 28.3 cm²
Answer:
27/24 or (Decimal: 2.291667)
Step-by-step explanation:
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Answer: See explanation
Step-by-step explanation:
Diameter = 8 inches
Radius = Diameter/2 = 8/2 = 4 inches
Height of the cylinder = 3 inches
Height of the cone = 18 inches
Volume of a cylinder = π r² h
= 3.14 × 4² × 3
= 3.14 × 16 × 3
= 150.72
Volume of a cone = 1/3 π r² h
= 1/3 × 3.14 × 4² × 18
= 1/3 × 3.14 × 16 × 18
= 301.44
From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.
Answer:
-10
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
it just works
0.3
3/10
0.03
Answer:
.03
Step-by-step explanation:
.03 would be 3% where all the others are 30% hope this helped!
Answer:
0.03
Step-by-step explanation:
30%, 3/10, and 0.3 are all equal to 30. 0.03 is equal to 3.