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Irina-Kira [14]
3 years ago
6

The planet Mars could be a future destination for the U.S. space program. Assume that Mars is a perfect sphere. Its surface area

is about 145 million square kilometers. What is the radius of Mars at its equator? Round to the hundreds place.
||| Answer choices:
A) 4,500 km
B) 2,200 km
C) 5,000 km
D) 3,400 km |||
Mathematics
1 answer:
Arlecino [84]3 years ago
4 0
Surface area of a sphere is  4 times pi timers radius^2
aprox pi=3.14

so surface area=145,000,000

145,000,000=4 times 3.14 times rdaius^2
145,000,000=12.56 times radius^2
divide both sdies by 12.56
11544585.987=r^2
square root both sides
3397.73=radius

round to the hundreds
3397 rounded to the hundreds
3400

the answer is D 3,4000 km
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Hello from MrBillDoesMath!

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Discussion:

Let's determine the pattern.

first term:  -3

2nd term:  (-3) * (-6) = 18                     (multiply first term by -6)

3rd  term:  (18) * (-6) = -108                 (multiply 2nd term by -6)

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Sum = -119,962


A simpler way to do this is to use the formula for the sum of a geometric series to n terms. The series is

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Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


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