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Mathematics

1 answer:

hammer [34]3 years ago

8 0

9514 1404 393

Answer:

LW = 17.5

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means the ratio of long side to short side is the same for all of the triangles:

WA/YA = YA/LA

WA = YA²/LA = 7.0²/3.5 = 14.0

Then the length of LW is ...

LW = LA +AW = 3.5 +14.0

LW = 17.5

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To determine the number of trout in a lake, a conservationist catches 174 trout, tags them and throws them back into the lake.

Alja [10]

Answer:

348 trouts in the lake

Step-by-step explanation:

Since this is basically a ratio problem and we are given three values we can use the rule of three to solve for the missing variable which would be the total amount of trouts in the lake. To do so we multiply the total amount trouts tagged by the number of trouts caught later. Then we multiply that product by the amount that were found to be tagged later.

22 total trouts caught later <=========> 11 trouts were tagged

x total trouts <=========> 174 trouts tagged

(174 * 22) / 11 = 348 total trouts in the lake

Finally, we can see that the conservationist would expect there to be around 348 trouts in the lake.

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4 years ago

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natta225 [31]

Answer:

See Explanation

Step-by-step explanation:

If a Function is differentiable at a point c, it is also continuous at that point.

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the function must have one and only one tangent at x=c
the fore mentioned tangent cannot be a vertical line.

And

If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.