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kogti [31]
3 years ago
12

A circle with a radius of One-half ft is dilated by a scale factor of 8. Which statements about the new circle are true? Check a

ll that apply. The length of the new radius will be 4 feet. The length of the new radius will be 32 feet. The new circumference will be 8 times the original circumference. The new circumference will be 64 times the original circumference. The new area will be 8 times the original area. The new area will be 64 times the original area. The new circumference will be 8 pi feet. The new area will be 16 pi square feet.change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer:

The circumference of original circle is, The area of original circle is, The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle. Therefore the radius of new circle is 4 ft and the statement A is true.

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Answer:

Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:

- Finding the number of days needed to crochet one (1) blanket:

\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}

1=

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1

Crochet(Day)

Crochet(Day)=5∗1=5

So, she can crochet 1 blanket every 5 days.

- Finding the number of days needed to crochet three (3) blankets:

If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:

\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}

DaysNeeded=

Rate

NumberOfBlankets

DaysNeeded=

5

1

3

=3∗5=15

- Writing the inequality

If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:

AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays

AvailableDays=60-15=45DaysAvailableDays=60−15=45Days

So, the inequality will be:

s\leq 45s≤45

The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.

Have a nice day!

3 0
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Question 60:

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Mean is calculated by adding up all the values of a data set, and then dividing that sum by the amount of values.

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179÷7=25.57

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Mode is the number in a data set that appears most often. 102 shows up twice, while the other values only appear once. So 102 is the mode.

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