Answer:
140
Step-by-step explanation:
Consider trapezoid ABCD. Draw two heights BE and CF. Quadrilateral BEFC is a rectangle, then EF = BC = 5 and BE = CF = y.
Let AE = x, then FD = AD - AE - EF = 20 - x - 5 = 15 - x.
Triangles ABE and CDF are two right triangles. By the Pythagorean theorem,
Thus,
Subtract from the second equation the first one:
Therefore,
The area of the trapezoid is
The Given Sequence is an Arithmetic Sequence with First term = -19
⇒ a = -19
Second term is -13
We know that Common difference is Difference of second term and first term.
⇒ Common Difference (d) = -13 + 19 = 6
We know that Sum of n terms is given by :
Given n = 63 and we found a = -19 and d = 6
The Sum of First 63 terms is 10521
Answer:
Step-by-step explanation:
<em>See Attachment for Complete Question</em>
Given
--- For the forest
-- --- For the forest
Required
Determine the area of the habitat
Since the distance between the animal's habitat is x mi on both sides;
The length and width of the habitat is:
The area is then calculated as follows;
Expand
Open Brackets
Reorder
Hence; the required polynomial for the habitat area is:
