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irga5000 [103]
3 years ago
10

What is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= \frac{x_1+x_2}{2}

= \frac{-1+6}{2}

= \frac{5}{2}

= 2.5

The midpoint on Y-axis is:

= \frac{y_1+y_2}{2}

= \frac{5+(-3)}{2}

= \frac{5-3}{2}

= \frac{2}{2}

= 1

Thus the midpoint of AB is "2.5, 1".

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the original cost of a piano is 19,100 and it is on a sale for 19% off its original price if the total l cost includes a 5% sale
amid [387]

Answer:

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Step-by-step explanation:

Original cost of piano = 19,100

19% off on 19,100 = 0.19*19100 = 3,629

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Total selling cost of piano = Selling cost + Amount of sales tax = 15471 + 773.55 = 16,244.55

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3 years ago
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m_a_m_a [10]

Answer:

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

Step-by-step explanation:

A. The formula for the volume of a hemisphere is ...

  V = (2/3)πr³

For a radius of 5 m, the volume is ...

  V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³

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B. The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 m and a height of 12 m, the volume is ...

  V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³

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C. Then the total volume is ...

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  V = 261.799 m³ +942.478 m³ = 1204.277 m³

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Rounded to the nearest integer, the volumes are ...

  • hemisphere volume: 262 m³
  • cylinder volume: 942 m³
  • composite figure volume: 1204 m³

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As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.

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3 years ago
What is the area of a circle with a diameter of 12.6 in.?
Zepler [3.9K]

Hey there! I'm happy to help!

To find the area of a circle, you square the radius and then multiply by pi (3.14 in our case).

The radius is half of the diameter.

12.6/2=6.3

We square this.

6.3²=39.69

We multiply by 3.14

39.69×3.14=124.6266

We round to the nearest hundredth, giving us an area of 124.63 in².

Now you can find the area of a circle! Have a wonderful day! :D

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