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QveST [7]
3 years ago
9

(9,5) and (4,-7) find the distance between two points

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

13 units

Step-by-step explanation:

Use the distance formula, d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}, where (x2, y2) and (x1, y1) are two different points on the line.

Plug in the values:

d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

d = \sqrt{(9 - 4)^2 + (5 + 7)^2}

d = \sqrt{5^2 + 12^2}

d = \sqrt{25 + 144}

d = \sqrt{169}

d = 13

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Evgesh-ka [11]

Step-by-step explanation:

Height of ladder = 12ft .

Here perpendicular is height to which it reaches .

<u>When </u><u>angle </u><u>is </u><u>3</u><u>0</u><u>⁰</u><u> </u><u>:</u><u>-</u>

=> sin 30⁰ = H/12

=> ½ = H/12

=> H = 12/2

=> H = 6m ( ans )

<u>When </u><u>Angle </u><u>is </u><u>4</u><u>5</u><u>⁰</u><u> </u><u>:</u><u>-</u><u> </u>

=> sin45⁰ = H/12

=> 1/√2 = H/12

=> H = 6*√2*√2/√2

=> H = 6√2 m ( ans )

<u>When </u><u>angle</u><u> </u><u>is </u><u>6</u><u>0</u><u>⁰</u><u> </u><u>:</u><u>-</u>

=> sin60⁰ = H/12

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=> H = 12 *√3/2

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hope it helped !

6 0
3 years ago
A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rec
lukranit [14]

Answer:

Prism volume = lbh

= 10*8*12

= 960cm^3

Note: I'm assuming the hole was cut right through it...

Hole volume = lbh

= 2*3*12

= 72cm^3

Final volume = 960 - 72 = 888cm^3

 

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3 years ago
A professor using an open source introductory statistics book predicts that 10% of the students will purchase a hard copy of the
Likurg_2 [28]

Answer: The professor was not accurate with his hypothesis.

Null hypothesis: P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternate hypothesis: At least one proportion of the student will differ from the others.

Step-by-step explanation: To check if the professors hypothesis were inaccurate.

What percentage of student bought a hard copy of the book.

(25 ÷ 200) × 100 = 12.5%

What percentage of the student printed it from the web.

(85 ÷ 200) × 100 = 42.5%

What percentage of the students read it online.

(90 ÷ 200) × 100 = 45%

This means that the professor was not accurate with his hypothesis. Because the proportion of student in his hypothesis was not the same in the actual.

Therefore; the null hypothesis are

P1 = 12.5%, P2 = 42.5%, P3 = 45%

The alternative hypothesis will state that at least one of the proportion will be different from the others.

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3 years ago
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8 0
3 years ago
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A jewelry store marks up the price of its jewelry up 50%. What will be the selling price of an item that the store purchased for
snow_tiger [21]

Answer: $142.5

Step-by-step explanation: If the price is being marked up by 50%, you take 50% or half of the original price of $95, which is 47.5, and add it to your original price.

95 + 47.5 = 142.5

3 0
3 years ago
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