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torisob [31]
4 years ago
12

Find the distance between the pair of points. (7, -17) and (-22, 12)

Mathematics
1 answer:
Misha Larkins [42]4 years ago
7 0

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(-22 - 7)^2 + (12 + 17)^2}\\= \sqrt{(-29)^2 + 29^2} = \sqrt{841 + 841} = \sqrt{1682} = 29\sqrt{2}

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satela [25.4K]

Answer:

(6, 5)

Step-by-step explanation:

8 0
3 years ago
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Determine the fraction of total interest owed using the rule of 78. After the six month of a 12 month loan, the numerator is: {(
Dima020 [189]

Answer:

The fraction of total interest owed is  \frac{57}{78}

The value of it to the nearest tenth is 73.1%

Step-by-step explanation:

Let us solve it using the rule of 78

∵ The loan = 12 month

∵ The numerator is after 6 month

- Substitute n by 1 in each bracket

∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}

∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}

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∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}

- substitute n by 1 in each bracket

∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}

∴ The denominator = {78}

∴ The denominator of the fraction is 78

The fraction of total interest owed is  \frac{57}{78}

Now find the value of the fraction

∵ The fraction = \frac{57}{78}

∴ Its value = 0.7307692308 × 100%

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- Round it to the nearest tenth

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5 0
3 years ago
Use the Special Right Triangle to evaluate sin 60°, cos 60° and tan 60°. Your answers should be exact (not a decimal).
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Sin 60 = \sqrt{3}/2
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3 years ago
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gogolik [260]
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substitute this into the second equation

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4 0
3 years ago
Plz help me I don't know how to do this!!!!
m_a_m_a [10]

Answer:

x = 25

Step-by-step explanation:

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Now you want to try to figure out what the altitude is of the triangle so you divide it in half. Making the bottom side length now 25 because half of 50 is 25. You now have to use Pythagoreans theorem to figure out the altitude:

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now you put that into the expression: x√3:

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Hope this helped!

8 0
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