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nika2105 [10]
3 years ago
9

math and science. during winter months, freshwater fish sense the water getting colder and swim to the bottoms of lakes and rive

rs to find warmer water. if a fish swims 7_8 of the depth of a 32-foot deep lake, how many feet down did the fish swim?
Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0
28 feet

32 feet divided by 8 equals 4
so the lake is in sections of 4
take 4 times it by 7
answer is 28 feet

to check your answer 28/32 simplified is 7/8
Colt1911 [192]3 years ago
7 0
28 feet

32 feet divided by 8 equals 4 im sure it is that one
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A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

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(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

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7 0
3 years ago
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astraxan [27]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Answer:

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