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2 years ago

Find the length of the leg of the right triangle leave your answer in simplest form?

Mathematics

1 answer:

nikitadnepr [17]2 years ago

5 0

Answer:

a =12*sqrt(2)

Step-by-step explanation:

3. The Pythagorean theorem states

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +21^2 = 27^2

a^2 +441 =729

Subtract 441 from each side

a^2 +441-441 = 729 -441

a^2 =288

Take the square root of each side

sqrt(a^2) = sqrt(288)

sqrt(xy) = sqrt(x)sqrt(y)

a = sqrt(144)sqrt(2)

a =12*sqrt(2)

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Which two integers does the value of √88 lie?

Marizza181 [45]

88=4*22=> sqrt88=2sqrt22
sqrt22 is approximately sqrt25=5
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8 < 2sqrt22 < 10
8 < sqrt88 < 10

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Solve x = 0.6x + 384

Gelneren [198K]

X = 0.6x + 384 |subtract 0.6x from both sides

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3 years ago

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sashaice [31]

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Step-by-step explanation:

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3 years ago

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The Florida Fish and Wildlife Conversation Commission (FWC) plans to hire hunters to kill the Burmese python, an invasive specie

andrew-mc [135]

Complete Question

The complete question is shown on the first uploaded image

Answer:

FWOC should hire 70,000 hunters to completely remove the python in the area

Step-by-step explanation:

From the question we are given that the Initial Pythons $P_o=$ 100,000

And the final python $P_f$ $=100,000+\frac{P}{10,000}(100,000-P)$

$P_f = 100,000 + 10P -\frac{P^2}{10,000}$

For Max Number of Python

=> $\frac{dP_f}{dP} = 0$

=> $\frac{dP_f}{dP} =$ $100,000 -2P = 0$

=> $P = 50,000$

Hence the maximum number of pythons $Max_P$ $=100,000 +\frac{50,000}{10,000} (50,000)$

$=350,000$

Using Mathematical relations

from the Question

5 python is killed by = 1 hunter

1 python is killed by = $\frac{1}{5} \ hunters$

350 , 000 pythons are killed by = $\frac{350,000}{5}$

$= 70,000 \ hunters$

3 0

3 years ago