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chubhunter [2.5K]
3 years ago
11

The population density of Flint County is 225 residents/mile2. The area of Flint County is 300 mile2. Find the population of Fli

nt County.
Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

67,500 residents

Step-by-step explanation:

The population density is defined as the average number of people living per square unit area.

-Given the density is 225res/sq mile and the area is 300 sq mile, the area's population is:

\rho=\frac{Population}{Area}\\\\Population=Area \times \rho\\\\=300 \ mi^2\times 225\ res/mi^2\\\\=67500\ residents

Hence, there are 67,500 residents in Flint county.

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Complete the table and then graph the function.<br> y = 5x
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Step-by-step explanation:

x  |  y

0  0

1   5

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Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

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The matrix below represents a system of equations.
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What is the length of the hypotenuse,c ? 3m 5m
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square root of 34

Step-by-step explanation:

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Boskyville is planting trees along both sides of its streets. the trees will be planted 50 feet apart. the first tree on the blo
tresset_1 [31]
The first thing we are going to do for this case is to define the following variable:
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5 0
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Read 2 more answers
Help please will mark brainliest!
Nat2105 [25]

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

5 0
3 years ago
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