Ask your own question, for FREE!
Mathematics 20 Online
OpenStudy (misssmartiez):

Hi, again, Jim.

OpenStudy (misssmartiez):

OpenStudy (misssmartiez):

@jim_thompson5910

OpenStudy (misssmartiez):

|dw:1455252229749:dw|

OpenStudy (misssmartiez):

Add it together and it is 2,500?

jimthompson5910 (jim_thompson5910):

Or you can use the perimeter of a rectangle formula P = 2*(L+W) P = 2*(500+750) P = 2*1250 P = 2500 either way, the final answer is definitely 2500. So nice work

OpenStudy (misssmartiez):

Ok thanks! Can you walk me through this one then one more? I think i know, Just making sure, (pi, easy)..

jimthompson5910 (jim_thompson5910):

You use the area of a circle formula A = pi*r^2 since we're approximating pi, replace pi with 3.14 A = 3.14*r^2

jimthompson5910 (jim_thompson5910):

next plug in r = 9.6 and evaluate

OpenStudy (misssmartiez):

Sorry to bother you, I just want a good grade and an understanding, so I wouldn't forget it, i know that pi = 3.14 x r^2

OpenStudy (misssmartiez):

Ok! 60.288? I keep getting that... ?

jimthompson5910 (jim_thompson5910):

\[\Large A = \pi*r^2\] \[\Large A \approx 3.14*r^2\] \[\Large A \approx 3.14*9.6^2\] \[\Large A \approx 3.14*92.16\] \[\Large A \approx 289.3824\] 289.3824 rounds to 289.38

OpenStudy (misssmartiez):

oh alright.

OpenStudy (misssmartiez):

TY! What is the A = for a square?

jimthompson5910 (jim_thompson5910):

the area of a square formula?

OpenStudy (misssmartiez):

mhm

jimthompson5910 (jim_thompson5910):

area of a square = (side)*(side) = (side)^2 the `^2` means square exponent

OpenStudy (misssmartiez):

? Example?

jimthompson5910 (jim_thompson5910):

example: area of a square with side length of 16 is 256 because 16*16 = 256

OpenStudy (misssmartiez):

Ok So how to do part 2? Almost done (ty)

jimthompson5910 (jim_thompson5910):

what's the area of each shape?

OpenStudy (misssmartiez):

Umm 81 for square?..

OpenStudy (misssmartiez):

and..

jimthompson5910 (jim_thompson5910):

when they say "8 inch round cake" they mean the diameter is 8 inches, so the radius is 4 inches use r = 4 to find the area of the circle

OpenStudy (misssmartiez):

50.24?

OpenStudy (misssmartiez):

\[4^2 x 3.14?\]

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

now subtract the two areas

jimthompson5910 (jim_thompson5910):

(bigger) - (smaller)

OpenStudy (misssmartiez):

Ty! LAST QUESTION, I Think I NAILED a, b not so sure.

OpenStudy (misssmartiez):

(Ugh your so kind.. Thanks).

OpenStudy (misssmartiez):

I am writing how I got it, though, is it right?

jimthompson5910 (jim_thompson5910):

hopefully you have this formula in your notes C = pi*d C is the circumference of the circle d is the diameter

OpenStudy (misssmartiez):

3.14 x 2.5?

jimthompson5910 (jim_thompson5910):

yes that will lead to the approximate circumference use more digits of pi to get a better accurate answer

OpenStudy (misssmartiez):

oh 7.85? (rounded 8)

OpenStudy (misssmartiez):

Thanks! Part B? (i NEED help I do not understand overall. )

OpenStudy (misssmartiez):

Do I have to divide 1 mile ( 5,280,) by 8 or something?

jimthompson5910 (jim_thompson5910):

well the circumference is approximately 7.85398163397449 feet we need to go 5280 feet so 7.85398163397449*x = 5280 x = 5280/7.85398163397449 x = 672.270479620166 which means that the wheel must rotate approximately 672.27 times if you must round this to the nearest whole number, then you'll have to round up to ensure you go over a mile. So round to 673

OpenStudy (misssmartiez):

Ok THANK YOU SO MUCH!

jimthompson5910 (jim_thompson5910):

no problem

OpenStudy (manvirk21):

No the final answer would not be 2500 because he walked the around the park four times and it asks for the TOTAL distance. So you would have to multiply 2500 by 4. It's a trick question. Hope this helped

OpenStudy (misssmartiez):

Ok, I know that now, it was wrong and said 10,000.

jimthompson5910 (jim_thompson5910):

oh I missed that subtle detail, good catch @manvirk21

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!