Answer:
6 1/12
Step-by-step explanation:
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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A.
All squares are rhombuses.
B.
All rectangles are parallelograms.
C.
All rhombuses are trapezoids.
D.
All 4-sided shapes have at least one pair of parallel sides.
A. .27
B. 1.81
C. 1.80
D. 1.72
Answer:
B. 1.81 pounds.
Step-by-step explanation:
We have been a package of ground beef costs $6.98. The price per pound is $3.86.
To find the number of pounds of ground beef in the package we will divide the cost of package by cost of each pound of ground beef.
Upon rounding our answer to nearest hundredth we will get,
Therefore, there were 1.81 pounds of ground beef in the package and option B is the correct choice.
g
kg
mg
km
Answer:
On average 81 pizzas they sold per day.
Step-by-step explanation:
Pizza perfection sold pizzas on each days as :
Monday = 93 pizzas
Tuesday = 67 pizzas
Wednesday = 78 pizzas
Thursday = 44 pizzas
Friday = 123 pizzas
To calculate average pizza sold per day we divide total pizzas to number of days.
Total pizza = 93 + 67 + 78 + 44 + 123 = 405 pizza
Therefore 405 ÷ 5 = 81 pizza
On average 81 pizzas they sold per day.