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balandron [24]
3 years ago
9

What is the relationship between the degree measure of the angle formed by the straight edges of a section of a circle graph as

a percent of the data the section represents
Mathematics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

  degree measure = 360° × percent of data

Step-by-step explanation:

The ratio of the degree measure of a sector of a circle graph to 360° is the same as the ratio of the represented data to the whole amount of data.

The idea of a circle graph is that the area of the sector is proportional to the data being represented. That is, if the data represented is 10% of the whole, then the sector area is 10% of the whole. Sector area is proportional to the degree measure of its central angle, so the example sector would have a central angle of 10% of 360°, or 36°.

The ratio of the central angle of the sector to 360° is the same as the percentage of data that sector represents.

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Ephraim took a friend for a birthday dinner. The total bill for dinner was $30.29 (including tax and a tip). If Ephraim paid a 2
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x= 30.29 (1-0.223) = 23.54

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

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Step-by-step explanation:

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T= 30.29 represent the total paid for the dinner

x represent the amount before adding the tip

f =0.223 represent the fraction of the total amount destined to the tip

Based on this we can create the following relationship between T and x:

T = f*T + (1-f)T = f*T + x

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x = T - f*T

Taking T common factor we got:

x = T (1-f)

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x= 30.29 (1-0.223) = 23.54

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Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

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