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fenix001 [56]
2 years ago
11

A penny is dropped from a point on a bridge 94 feet above the surface of the river. If the penny travels 250 feet straight down

before it lands at the bottom of the river, find the depth of the river where the penny landed.
please provide with the strategies please!! ​
Mathematics
1 answer:
DanielleElmas [232]2 years ago
6 0

Answer:

156 ft

Step-by-step explanation:

the depth of the river =

250-94 = 156 ft

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Step-by-step explanation:

1. Approach

To solve this problem, one first has to think about the given figure in a certain way. In the figure, one can see that it is a circle attached on either side of a rectangle. To find the perimeter of the figure, one has to find the circumference of the circle and then add two sides of the rectangle to the answer

2. Circumference of the circle

The formula to find the circumference of a circle is;

2r(pi) or d(pi)

~ diameter times the value (pi)

Normally to find the circumference of a semicircle, one would have to divide this formula by 2, but since in this case, one has to add two congruent semicircles, so therefore, the effect of dividing the equation by two, only to multiply by two again cancels, and hence, there is no need to divide by 2.

Substitute in the values;

(78)(pi)

~ 245

3. Find the perimeter of the entire object

Now, one has to add the two additional sides of the figure, to the circumferences of the semicircles to get the final answer;

78 + 78 + 245

= 401

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