Complete question :
A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.
(a) The landscaper plans to put a fence around the entire yard. How many meters of fencing does she need? Show your work.
(b) The landscaper plans to create a rectangular garden that is the size of the actual yard. What is the area of the garden?
Answer:
28cm ; 48cm²
Step-by-step explanation:
From the diagram :
Length = 8cm
Width = 6cm
Meters of fencing required :
Perimeter of rectangle :
P = 2(length + Width)
P = 2 (8cm + 6cm)
P= 2(14cm)
P = 28 cm
2.)
Area of rectangle :
Length * width
8cm * 6cm
= 48cm²
Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81
The formula of an area of a circle with radius r:

Part A.
We have diameter of the circle d = 8 in. The diameter of a circle is equal two times length of a radius.
Therefore:

Calculate the area:

Answer: C. 16π square inches.
Part 2.
Look at the picture.
Total area:

Answer: C. 36π square inches
Answer: 
Step-by-step explanation:
Given
The point C
is rotated
clockwise about the origin
If a point is rotated
about the origin, then the sign of the co-ordinates changes without changing the order of coordinates.
So,C
becomes C'
after the rotation.