The perimeter of a quarter circle is 10.71 meters what is the circles radius
2 answers:
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Answer:
The building is 32 feet tall.
Step-by-step explanation:
Consider the figure drawn below representing the given scenario.
AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.
Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.
Therefore, or E is the midpoint of BC.
Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.
Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)
So,
Therefore, the building is 32 feet tall.
Answer:
The amount in the first account is $5,700
The amount in the second account is $1,300
Step-by-step explanation:
Let the mount invested in the first account be and the one invested in the second account be
.
Then the total principal is ---->(1)
The interest in the first account is
The interest in the first account is
The total interest for the year is 262.00.
This implies that:
---->(2)
We solve the two equations simultaneously to get:
and