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Sergeeva-Olga [200]
3 years ago
7

Circle A and circle B are similar. A. What is the similarity ratio of circle A to circle B? B. What is the circumference of each

circle? Leave answers in terms of . C. What is the ratio of the Circumference of circle B to the Circumference of circle A? Simplify your ratio.

Mathematics
1 answer:
stellarik [79]3 years ago
3 0

Answer: A) 5/2

B) 10pi for A and 4pi for B

C) 5/2

Step-by-step explanation:

Please find the attached file for the solution

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How do i write mixed numbers as an improper fraction?<br> Explain with examples.
andre [41]

Answer:

A mixed fraction can be written as an improper fraction by multiplying the whole number with the fraction's denominator and adding that to the numerator, and finally writing that result on top of the denominator.

Step-by-step explanation:

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Read 2 more answers
Use log4(2) = 0.5 to approximate the value of log4(32)
shepuryov [24]

log4(32) = 2.5

Step-by-step explanation:

Given that,

log4(2) = 0.5

To find: log4(32)

32 can be written as 2 power 5

log4(32) = log4(2^5)

= 5 log4(2)

In the logarithms if there is a power it is multiplied and only the log is applied to the base of the powered term.

Hence,

log4(32) = 5log4(2)

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So,

log4(32) = 5(0.5)

log4(32) = 2.5

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3 years ago
. If a landfill has a density of 1,200 pounds per cubic yard, what would be the volume required for 15- years worth of MSW to th
bazaltina [42]

Here is the full data for the question.

Each person in the state of Texas generate roughly 7.5 pounds of municipal solid waste each day. Of this amount, roughly 35 percent of the waste is currently recycle in Texas. Studies have shown that the maximum amount of waste that could be realistically recycled or otherwise diverted from the landfill is 50 percent.

(NOTE: for tons, use I ton -2,000 pounds unless otherwise specified)

11. For a community/service area of 200,000 people, calculate the amount:

Total MSW each year, in pounds?<u>              </u> ? Tons?<u>               </u>

<u />

II. Total MSW currently recycled each year, in pounds?<u>              </u> Tons?<u>          </u>

<u />

III Amount of the MSW that could realistically be diverted from the landfill if recycling was maximized to the nearest pound.

12. Using the current recycling rate, calculate the amount of MSW sent to a landfill over 15 years period to the nearest pound.

13. If a landfill has a density of 1,200 pounds per cubic yard, what would be the volume required for 15- years worth of MSW to the nearest cubic yard?

Answer:

Step-by-step explanation:

11)

I) The amount of total MSW generated per day in pounds is = 1,500,000 Pounds

The total MSW generated per day  in tons is = 750 Tons

The amount of the total MSW generated per year in pounds will be:

= 1,500,000 × 365

= 547,500,000 Pounds

The amount of the total MSW generated per year in tons is

= 750 × 365

= 273,750 Tons

II)

The amount of the total MSW currently recycled per day is pounds

= 1,500,000 × (35/100)

= 525,000 Pounds

Total MSW currently recycled per day in tons is

= 750 × 35/100

= 262.5 Tons

The amount of the total MSW currently recycled per year in pounds is

= 525,000 × 365

= 191,625,000 Pounds

The amount of the total MSW currently recycled each year in tons is

= 262.5 × 365

= 95812.5 Tons

III) The required amount of MSW which could realistically be diverted from the landfill suppose that the recycling was maximized (for each person) is

= 7.5 × (50/100)

= 3.75 Pounds

≅ 4 Pounds

The required amount of MSW which could realistically be diverted from the landfill suppose recycling were maximized (for the total population) is:

= 1,500,000 × (50/100)

= 750,000 Pounds

12)

Applying the current rate of recycling, the amount of MSW sent to landfill over a 15 year period (for each person) is:

= 7.5 × (100-35)/100

= 4.875 Pounds each day

= 4.875 × 365 × 15

= 26690.625 Pounds/ 15 years/person

≅ 26,691 Pounds/ 15 years/person

<u>For 1 year period:</u>

By applying the current rate of recycling, the required amount of MSW sent to landfill over (for total population) is:

= 547,500,000 × (100-35)/100)

= 355,875,000 Pounds

<u>For 15 years period:</u>

By applying the current rate of recycling, the amount of MSW sent to landfill  (for total population) is:

= 355875000 × 15

= 5,338,125,000 Pounds

13)

The volume required for the landfill for 15 years worth of MSW is:

= 5,338,125,000/1,200

= 4,448,437.5 Cubic yard

≅ 4,448,438 Cubic yard

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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