Which of the following shows the prime factorization of 360 using exponential notation?
1 answer:
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1) The answer, in terms of "π", is:
_________________________________
" (
) * π mm³ " .
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2) The answer, using "3.14" for "π", is:
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" 1436.0266666666666667 mm³ " ; round to: " 1436.027 mm³ " ;
or; write as: " 1436
mm³ " .
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Explanation:
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The formula for the volume, "V" of a sphere is:
V =
* π* r³ ;
in which "r" = radius = "7 mm" {given}.
We can solve using "3.14" for "π" ; or we can solve in terms of "π" ;
_________________________________________
1) In terms of "π" :
_________________________________________
V = * π * r³ ;
= * π * (7 mm)³ ;
= * π * (7 * 7 * 7 * mm³) ;
= * π * (49 * 7 * mm³) ;
= * π * (343 mm³) ;
=
) * π mm³
= () * π mm³ ;
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2) Using "3.14" for "π" :
________________________________________________________
V = * π * r³ ;
= * (3.14)* (7 mm)³ ;
= * (3.14) * (7 * 7 * 7 * mm³) ;
= * (3.14) * (49 * 7 * mm³) ;
= * (3.14) * (49 * 7 * mm³) ;
= * (3.14) * (343 mm³) ;
= { } * (3.14 * 343 mm³) ;
= { } * (1077.02 mm³) ;
= (4 * 1077.02 mm³) / 3 ;
= (4308.08 mm³) / 3 ;
__________________________________________________________
= 1436.0266666666666667 mm³ ; round to: " 1436.027 mm³ " ;
or; write as: " 1436 mm³ " .
__________________________________________________________
_________________________________
" (
___________________________________________________
2) The answer, using "3.14" for "π", is:
___________________________________________________
" 1436.0266666666666667 mm³ " ; round to: " 1436.027 mm³ " ;
or; write as: " 1436
___________________________________________________
Explanation:
____________________________________________
The formula for the volume, "V" of a sphere is:
V =
in which "r" = radius = "7 mm" {given}.
We can solve using "3.14" for "π" ; or we can solve in terms of "π" ;
_________________________________________
1) In terms of "π" :
_________________________________________
V =
=
=
=
=
=
= (
________________________________________________________
2) Using "3.14" for "π" :
________________________________________________________
V =
=
=
=
=
=
= {
= {
= (4 * 1077.02 mm³) / 3 ;
= (4308.08 mm³) / 3 ;
__________________________________________________________
= 1436.0266666666666667 mm³ ; round to: " 1436.027 mm³ " ;
or; write as: " 1436
__________________________________________________________
The distance that Harold swim in 5 hours should be 16 km.
Given that,
- Harold swam 6 2 ÷ 5 km in 2 hours.
- And, the number of hours given is 5 hours.
Here we assume the distance be x
So,
=6.4
Now
2x=(6.4)(5)
2x=32
Now Divide by 2 on both sides
Thus,
X=16 km
Therefore, we can conclude that the distance that Harold swim in 5 hours should be 16 km.
Learn more about the distance here: brainly.com/question/12319416