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Licemer1 [7]
3 years ago
10

It takes Planet Folger 24 hours to complete a full rotation. It takes Planet Keurig approximately 58 days, 15 hours, and 30 minu

tes to complete a full rotation.
How many hours does it take Keurig to complete a full rotation? Show your work using the correct conversion
factors
Mathematics
1 answer:
valkas [14]3 years ago
5 0
Aday=24 hours
58days=24 times 58=1392 hours

60min=1hr
30min=1/2hr=0.5hr


total is
1392+15+0.5=
1407.5hours
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A triangle can contain 1 or less obtuse angles Indirect proof
son4ous [18]

Answer:

Well, if we know that an obtuse angle is an angle greater than 90 degrees, and that a triangle's angles MUST sum up to 180 degrees and contain three angles. Then it logically follows that there's no way for a triangle to have 3 angles AND have two of the three be greater than or equal to 90 degrees as the remaining angle would have to be zero degrees or some "negative angle"- which I am pretty sure doesn't exist lol! As for a proof, I think you can cook up something with what I have given you so far :)

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3 years ago
Unit 11: volume & surface area homework 8
Sholpan [36]

The volumes of the pyramids are listed below:

  1. <em>V =</em> 1437.333 cm³
  2. <em>V =</em> 75,398 km³
  3. <em>V =</em> 59.2 ft³
  4. <em>V =</em> 393.3 yd³
  5. <em>V =</em> 1134.116 m³
  6. <em>V =</em> 403.333 mm³
  7. <em>V =</em> 405.6 in³
  8. <em>V =</em> 886.808 ft³
<h3>How to determine the volume of a pyramid</h3>

Volume is the space occuppied by an object. In this question we must determine the volumes of pyramids of <em>circular</em> <em>base</em> and <em>polygonal</em> base (<em>V</em>). All the formulas needed are described below:

<h3>Volume of the pyramid</h3>

<em>V = (</em>π<em>/</em>3<em>) · B · h</em>     (1)

<h3>Base of the pyramid - Circle</h3>

<em>B = (</em>π<em>/</em>4<em>) · R²</em>     (2)

<h3>Base of the pyramid - Regular polygon</h3>

<em>B = (n · L²)/(</em>4 <em>· tan </em>0.5α<em>)</em>     (3)

<h3>Base of the pyramid - Right triangle</h3>

<em>B = (</em>1/2<em>) · b · z</em>     (4)

<h3>Base of the pyramid - Rectangle</h3>

<em>B = b · z</em>

Where:

  • <em>R</em> - Radius
  • <em>n</em> - Number of sides of the polygon.
  • <em>l</em> - Side length
  • <em>α</em> - Internal angle, in degree.
  • <em>h</em> - Height of the pyramid
  • b - Base of the right triangle/rectangle.
  • z - Length of the right triangle/rectangle.

Now we proceed to solve each pyramid:

1) <em>Square</em>, <em>n =</em> 4, <em>α =</em> 90°, <em>L =</em> 14 cm, <em>h =</em> 22 cm

<em>B =</em> 196 cm², <em>V =</em> 1437.333 cm³

2) <em>Circle</em>, <em>R =</em> 3 km, <em>h =</em> 8 km

<em>B ≈</em> 28.274 km², <em>V =</em> 75,398 km³

3) <em>Right triangle</em>, <em>b =</em> 12 ft, <em>z =</em> 3.7 ft, <em>h =</em> 8 ft

<em>B =</em> 22.2 ft², <em>V =</em> 59.2 ft³

4) <em>Rectangle</em>, <em>b =</em> 23 yd, <em>z =</em> 9 yd, <em>h =</em> 5.7 yd

<em>B =</em> 207 yd², <em>V =</em> 393.3 yd³

5) <em>Circle</em>, <em>R =</em> 9.5 m, <em>h =</em> 12 m

<em>B ≈</em> 283.529 m², <em>V =</em> 1134.116 m³

6) <em>Regular pentagon</em>, <em>B =</em> 110 mm², <em>h =</em> 11 mm

<em>V =</em> 403.333 mm³

7) <em>Square</em>,<em>n =</em> 4, <em>α =</em> 90°, <em>L =</em> 13 in, <em>h =</em> 7.2 in

<em>B =</em> 169 in², <em>V =</em> 405.6 in³

8) <em>Regular triangle</em>, <em>n =</em> 3, <em>α =</em> 120°, <em>L =</em> 16 ft, <em>h =</em> 24 ft

<em>B ≈</em> 110.851 ft², <em>V =</em> 886.808 ft³

To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/1578538

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1 year ago
Steven is buying a new mountain bike on layaway for $324. If he pays $36 each week how many weeks will it take steven to pay for
Reptile [31]

Answer:

9 weeks

Step-by-step explanation:

324/36 = 9

4 0
2 years ago
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Solve 6 over x minus 3 equals 3 over x for x and determine if the solution is extraneous or not
Natali5045456 [20]

Answer:

<em>x = 1</em>

This is the equation that I interpreted:

6/(x) - 3 = 3/(x)

I have never worked with determining extraneous equations before, so I cannot answer the second part.

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3 years ago
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
forsale [732]

Answer:

The answer would be A

Step-by-step explanation:

Both congruent sides are pairs

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3 years ago
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