What is the sum of the first seven terms of the geometric series 3 − 6 + 12 − . . . ?
1 answer:
You might be interested in
Answer:
Francine run 5.495 miles
Step-by-step explanation:
Given :
Francine ran laps around the circular track in the school gym.
The track has a diameter of 1/2 miles.
To Find : About how far does Francine run?
Solution :
First we need to calculate the perimeter of circular track :
Perimeter of circle :
Since we are given the diameter = 1/2 miles = 0.5 miles
So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles
So, The perimeter will be:
Since
⇒
⇒
Thus the circular track is of 1.57 miles .
Since she ran = 7/2=3.5 laps
1 lap = 1.57 miles
So, 3.5 laps = 1.57*3.5 =5.495 miles .
Hence , Francine run 5.495 miles
The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.
Step-by-step explanation:
The given is,
Detailed view or net diagram of the three dimensional diagram.
Step:1
Three dimensional diagram of the given net diagram is attached.
From the three dimensional diagram given net diagram is rectangular prism.
Step:2
From the three dimensional diagram
Formula for surface area of the rectangular prism,
..............................(1)
Where, w - Width
l - Length
h - Height
From the attachment,
l = 6 cm
w = 2 cm
h = 3 cm
Equation (1) becomes,
= 2 ( 12 + 18 + 6 )
= 2 ( 36 )
A = 72 squared centimeters
( or )
From the net diagram,
Surface area, A = ((6×3)+(2×3)+(2×6)+(2×3)+(3×6)+(2×6))
= 18 + 6 + 12 + 6 + 18 + 12
= 72
Surface area, A = 72 squared centimeters
Result:
The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.
