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saul85 [17]
3 years ago
8

(09.04 MC)

Mathematics
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

central angle=18

arc length=2.5 π feet

area of a sector=31.25π square feet

Step-by-step explanation:

Given

wheel radius=25 feet

attached cars=20

Space between cars along the circumference of wheel= 360/20

                                                                                          =18

Finding arc length:

arc length= radius x angle(in radians)

 angle in radian = 18 x π/180 = 0.1π radians

arc length   = 25 x 0.1π

                 =2.5π feet  

Area of the circle = πr^2

Area of the circle = π(25)^2

Area of the circle = 625π square feet.  

As the ratio of the central angle to the full circle angle is proportional to the area of the sector to the complete circle:

central angle/360=area of sector/area of circle

Area of sector= area of circle x 18/360

                       = 625π(1/20)

                        =31.25π !

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gulaghasi [49]

Answer:

55

Step-by-step explanation:

55 is your answer

8 0
3 years ago
Read 2 more answers
What is the answer?????
777dan777 [17]
I belive [c] is the answer 37/100  47/100
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7 0
3 years ago
Will give the brainliest answer,
IrinaK [193]
The answer to this would be $30.67

First of all APR is the wrong term for interest earned on a deposit. So I'm going to guess that you really mean simple interest. Step one figure the amount in the emergency fund. Since the monthly expenses are $1,157.65, you multiply 4 months times $1,157.65: 4($1,157.65) = $4,606.60

Step 2, figure out how much is 25% of $4,606.60. So change the percent in a decimal by moving the decimal to the left two places. So 25.0 becomes .25. Or you could divide 25 by 100 and get .25 Next multiply .25 times $4,606.60 and you get $1,151.65 for the amount in the savings account.

Step 3, subtract the amount in deposited in the savings account from the total amount in the emergency fund. So you $4,606.60 minus $1,151.65 Which gets you $3,454.95 in the CD.

Step 4, Calculate the interest earned in the savings account. Since the savings account earns 3.3% a year and there are 365 days in a non leap year, divide 3.3% by 365 to find out how much interest is earned a day and multiply it times the amount in the savings account. First change 3.3% to a decimal by moving the decimal point to the left two places. Which gets us .033 So .033 divided by 365 times $1,151.65 Which gets us about $0.104 in interest a day. Finally, multiply the interest earned each day by 60 days. $0.104 times 60 Which gets us about $6.25 in interest earned on the savings account for 60 days.

Step 5, Find the interest earned on the CD. Since the CD earns 4.3% interest a year and there are 365 days in a non leap year, divide 4.3% by 365 to find out how much interest is earned a day and multiply it times the amount in the CD. First change 4.3% to a decimal by moving the decimal point to the left two places. Which gets us .043. So .043 divided by 365 times $3,454.95 Which gets us about $0.407 in interest a day. Finally, multiply the interest earned each day by 60 days. $0.407 times 60. Which gets us about $24.42 in interest earned on the CD for 60 days

Step 6, The total interest earned on the savings account and the CD is: $24.42 + 6.25 = $30.67






7 0
3 years ago
Read 2 more answers
Express the value of each tangent ratio to the nearest tenth or as a fraction
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Answer:

  1)  5/12

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Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent ratio is ...

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__

1) For angle Z, the ratio is ...

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