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Setler79 [48]
1 year ago
15

Please help me with this question step by step on how to solve it. It takes the earth 24 h to complete a full rotation. If it wo

uld take Mercury approximately 38 days, 10 h, and 30min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show yourwork using the correct conversion factors.
Mathematics
1 answer:
pav-90 [236]1 year ago
3 0

In order to find the number of hours it takes to do the full rotation we separate into pieces the days, hours, and minutes and convert each of them separately.

using the conversion factor from days to hours we get that

1\text{day}=24\text{hours}

then we get that

38\text{days}\cdot\frac{24\text{hours}}{1day}=912hours

hours does not need a conversion factor, meaning that

10\text{hours}=10\text{hours}

continue by converting the minutes using the following conversion factor

1\text{hour}=60\min

then,

30\min \cdot\frac{1\text{hour}}{60\min }=0.5\text{hours}

To complete add all the results together

\begin{gathered} 912+10+0.5 \\ 922.5\text{hours} \end{gathered}

It takes mercury 922.5 hours to complete a full rotation.

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devlian [24]

Answer is "Nothing, they are equal". The central angle = its associated arc.

Other things to remember:

Tangent Angle= 1/2 Arc

Inscribed angle= 1/2 Arc

The central angle is the only one that equals its arc.



4 0
3 years ago
The measure of an angle is 22° greater than it’s complement. Find the angle
mamaluj [8]

Answer:

56

Step-by-step explanation:

Let the angle be " x ".

Complement of the angle = ( x - 22 )

To find : x = ?

x + x - 22 = 90

2x - 22 = 90

2x = 90 + 22

2x = 112

x = 112 / 2

x = 56

Therefore, the angle is 56.

7 0
2 years ago
14. Danny works part-time at Tom's Toy Store. He
jarptica [38.1K]

Answer:

  • 21 hours in May, 63 hours in June

Step-by-step explanation:

<h3>Set up equations</h3>
  • m - May, j - June
  • m + j = 84
  • m = 1/3j
<h3>Solve by substitution, fin the value of j</h3>
  • 1/3j + j = 84
  • 4/3j = 84
  • j = 84*3/4
  • j = 63
<h3>Find m</h3>
  • m + 63 = 84
  • m = 84 - 63
  • m = 21
5 0
2 years ago
Converting 52.68 feet per hour into inches per minute
yaroslaw [1]
10.536 inches per minute
7 0
3 years ago
PLEASE HELP ME HERE!!
Tcecarenko [31]

Answer:

Step-by-step explanation:

(1). Maryam's answer is correct.

(2). x = 2

8 0
3 years ago
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