Answer:
c 39
Step-by-step explanation:
Parameter is the sum of the lengths of all sides of a polygon. The sides of the polygon are PT, TS, SR, RQ, and QP. To get the length of a side, we use the distance formula: Each vertex in the polygon has its corresponding points:\
So to get the length of side PT, we use the distance formula and the vertices of side PT:
The length of PT is
The same procedure is done for the other 4 sides and the following are the answers:
And by adding all the sides, you get the perimeter:
By rounding off, the answer is 39 units.
have a nice day
Answer:
c
Step-by-step explanation:
if you follow the points, this is the only answer choice that doesnt repeat any line segments
Answer:
472.5 Miles
Step-by-step explanation:
1:15
10:150
20:300
30:450
.5:7.5
30x+1x+5x=450+15+7.5=472.5 miles
The answer:
_____________________________________________
x = (⅔)y ;
y = 3x/2.
_____________________________________________
Given:
x + (⅓)y + x - (2/4)<span>y - x = (3/6)y ;
______________________________________
</span>
Take the: x + x - x = 1x + 1x - 1x = 2x - 1x = 1x = x ;
and rewrite:
x + (⅓)y - (2/4)y = (3/6)y ;
_______________________________
Note that: (2/4)y = (<span>½)y ;
and: (3/6)y = (</span><span>½)y ; so;
___________________________
Rewrite as:
____________________________
</span>x + (⅓)y - (½)y = (½)y ;
Add "(½)y" to EACH SIDE of the equation;
_________________________________
x + (⅓)y - (½)y + (½)y = (½)y + (½)y ;
to get: x + (⅓)y = y ;
x = 1y - (⅓)y = (3/3) y - (1/3)y - [ (3-1)/3] y = (⅔)y ;
So: x = (<span>⅔)y ;
In terms of "y" ;
Given: </span>(⅔)y = x ; Multiply each side of the equation by "3" ;
3*[(⅔)y] = 3*x ;
to get: 2y = 3x ;
Now, divide EACH SIDE of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y" (in terms of "x"):
2y / 2 = 3x / 2 ;
to get:
y = 3x/2 ;
___________________________________
Answer: Apply the formula for the volume of a sphere.
Step-by-step explanation:
The volume of a sphere is
4
π
r
3
3
We just need to insert
r
=
2
c
m
into this to get the volume.
4
π
2
3
3
=
32
3
π
The exact volume is
32
3
π
c
m
3
The approximate volume is
33.5103217