Answer:
DA = 285.7 m
Step-by-step explanation:
First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:
AB^2 = BC^2 + AC^2
AB^2 = 300^2 + 400^2
AB^2 = 25000
AB = 500 m
We can find the angle ABC with the tangent relation:
tangent(ABC) = 400/300 = 4/3
ABC = 53.13°
From triangle ABC, we have:
ABC + BCA + CAB = 180°
53.13 + 90 + CAB = 180
CAB = 36.87°
From triangle DAC, we have:
DAC + ACD + CDA = 180
36.87 + 45 + CDA = 180
CDA = 98.13°
Now to find the side of DA, we can use law of sines in triangle DAC:
DA/sin(DCA) = AC/sin(CDA)
DA/sin(45) = 400/sin(98.13)
DA = 400 * 0.7071 / 0.9899 = 285.7258 m
Rounding to nearest tenth, we have DA = 285.7 m
1) When finding a median, order your numerical list from smallest to larger, as so: 2,2,3,4,5,6,8,9.
2) Then start eliminating numbers from each side of the order; (The bolded numbers will be removed.)
2,2,3,4,5,6,8,9
2,3,4,5,6,8,9
2,3,4,5,6,8
3,4,5,6,8
3,4,5,6
4,5,6
4,5
3) Since there is an even number of digits in your list, you will have to add the last two digits and then divide them by two. 4 and 5 are the last numbers standing, (4+5=9)(9/2=4.5) and therefore your answer, would be 4.5, or B.
The numbers given are length-15 width-10 and height-2
perimeter: 50 feet (15 + 10 + 15 + 10)
area: 150 feet (15 × 10)
volume: 300 feet (15 × 10 × 2)
