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g100num [7]
3 years ago
6

Find the interior angle on a regular polygon with 45 sides...

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0

The exterior angles sum to 360º. Let x be the measure of each exterior angle. Then

45x = 360º  ==>  x = 8º

Then each interior angle (which is supplementary to an exterior angle) has measure (180 - x)º, so they have measure 172º.

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At 5.45p.M .,lixin,khairul and Devil are at the starting point of a 1-km circular path. Lixin Takes 18 minutes to walk one round
sweet [91]

Answer:

Meeting\ Time = 6:03\ pm

Step-by-step explanation:

Given

Start\ Time= 5:45pm

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Devi = 4minutes/2\ rounds

Required

Determine their next meeting time

First, we need to get their unit rate in minutes per round

Lixin = 18\ min/round

Khairul = 360\ seconds/round

Convert 360 seconds to minutes

Khairul = \frac{360}{60} min/round

Khairul = 6 min/round

Devi = 4minutes/2\ rounds

Divide by 2/2

Devi = 2mins/round

So, we have:

Lixin = 18\ min/round

Khairul = 6 min/round

Devi = 2mins/round

Next, is to determine the LCM of 18, 6 and 2

18=2 * 3 * 3

6 = 2 * 3

3 = 3

Their LCM is:

LCM = 2 * 3 * 3

LCM = 18

This means that they will meet 18 minutes after their initial time of departure.

So:

Meeting\ Time = 5:45\ pm + 18\ minutes

Meeting\ Time = 6:03\ pm

3 0
3 years ago
3.006 rounded to the nearest tenth
Ann [662]
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3 0
3 years ago
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how do theme and tone work together? a. theme involves characters, and tone involves the historical context of those characters.
ahrayia [7]
Theme and tone work together in that B) theme is a poem's main idea, and tone is the writer's attitude toward that idea. 
4 0
3 years ago
Help me on this please
KonstantinChe [14]

Answer:

14.387

Step-by-step explanation:

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3 years ago
Simplifying Complex fractions using any method
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Answer:

3ab

-------------------

(b+a)

Step-by-step explanation:

3/a - 3/b

-------------------

1/a^2 - 1/b^2

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(3/a - 3/b) a^2 b^2

-------------------

(1/a^2 - 1/b^2) a^2b^2

3ab^2 - 3 a^2 b

-------------------

b^2 -  a^2

Factor out 3ab on the top

3ab( b-a)

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b^2 -  a^2

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3ab

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