If we are to connect the root of the tree to a person to the top of the tree, we form two right triangles. If we let x and and 200 - x be the distance of Harris and Annabelle from the tree, respectively and h be the height, we form the trigonometric functions,
tan 30° = h/x
tan 35° = h/(200 - x)
The values of h and x in the equations are 63.28 ft and 109.62 ft, respectively. Thus, the answer to this item is approximately 63.28 ft.
Answer:
a.6.66
b.384
c.860
d.166
Step-by-step explanation:
Answer:
C. -11,325
Step-by-step explanation:
- To know the answer, is convenient to replace some values of "n" in the sum
.
- The result would appear after adding up every value of the expression
when n=1,2,3.....,150. - When n=1, the expression takes the value of (-1):
. - When n=2, the expression takes the value of (-2):
. - Following this way, for every n, we will obtain -n, then, the sum will be:
. This sum can actually be expressed as
, which is the result of solving the initial expression of the sum
. - Finally, the sum of n=-1 to n=-150 equals -11,325.
The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
Let amount contributed by Willie be x
Let amount contributed by Bruno be y
Since Willie agreed to contribute $12,000 more than Bruno;
Therefore;
- x - y = 12000....…....... equation (1)
- x + y = 50,000...…....... equation (2)
By solving the system of equations simultaneously;
In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.
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