Mathematics College

Of segments CDF and CED, which of the segments has a greater area based on the given information? Justify with your work.(Do not use sin)

Circle A has radius 10m and m angle CAD=90 degrees
Circle B has radius 12m and m angle CBD=60degrees

Of Segments CDF And CED, Which Of The Segments Has A Greater Area Based On The Given Information? Justify

Answers

Answer 1

Answer:

Segment CED has greater area

Step-by-step explanation:

Circle A

Area of ΔCAD, right triangle:

A = 1/2*10*10 = 50 m²

Area of the sector CAD:

A = 1/4*π*10² = 78.54 m²

Area of segment CED:

A = 78.54 - 50 = 28.54 m²Circle B

Area of ΔCBD, equilateral triangle:

A = √3/4*12² = 62.36 m²

Area of sector CBD:

A = 1/6*π*12² = 75.40 m²

Area of segment CFD:

A = 75.40 - 62.36 = 13.04 m²

Compare the areas of the segments:

CED = 28.54  > CFD = 13.04
Answer 2

Answer:

for 1 st

area of segment CAD=90/360×π×10²=78.54m²

for second

area of segmentBCD=60/360×π×12²=75.4m²

so

CAD has greater area

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?

Answers

If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.

How to find the hours worked?

Let x represent the time Doug  worked

let 3x - 5 represent the number of hours Mark worked

Hence,

x + 3x - 5 = 3x -5 +13

4x-5=3x-5+13

4x-5=3x+8

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4x-5+5 =3x+8+5

simplify

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Total hours

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= 13 hours + 34 hours

= 47 hours

Therefore the total hours is 47 hours.

Learn more about hours worked here:https://brainly.com/question/568252

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Answers

Answer:

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Step-by-step explanation:

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

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Given

The ratio of the area of the similar triangles is equal to the square of the side of the corresponding sides

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Interactive digital version available - link: https://access.openupresources.org/curricula/our6-8math/en/supporting-material/7569/index.html
After a while, Jada picks up a coin that seems different than the others. She notices that the next day, only half of the coin is left!
On the second day, only 1/4 of the coin is left.
On the third day, 1/8 of the coin remains.
What fraction of the coin remains after 6 days?




What fraction of the coin remains after 28 days? Write an expression to describe this without computing its value.


Does the coin disappear completely? If so, after how many days?

Answers

Answer:

After 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.

Step-by-step explanation:

Since after a while, Jada picks up a coin that seems different than the others, and she notices that the next day, only half of the coin is left, while on the second day, only 1/4 of the coin is left and, on the third day, 1/8 of the coin remains, to determine what fraction of the coin remains after 6 days, what fraction of the coin remains after 28 days and determine if the coin will disappear completely, the following calculation must be performed:

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1/268435456 = X

Thus, after 6 days 1/64 of the coin will remain, while after 28 days 1/268435456 will remain. Now, it will never completely disappear, since it can always be reduced to a larger number.

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Answers

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Step-by-step explanation:

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