Answer:

Step-by-step explanation:
To determine the scale factor consider the ratio of the image coordinates to the original coordinates, that is
scale factor =
=
= 
Answer:
Total length of ribbon to line the long sides will be 22 in
Step-by-step explanation:
In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.
Then by applying Pythagoras theorem in both the triangles.
h²= (3x + 5)² + (2x + 1)² ------(1)
h²= (5x + 1)² + 5² ------(2)
By equating both the equations
(3x + 5)² + (2x + 1)² = (5x + 1)² + 25
9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25
13x² + 34x + 26 = 25x² + 10x + 26
13x² - 25x² + 34x - 10x + 26 - 26 = 0
- 12x² + 24x = 0
12x² - 24x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2
Now we will put x = 2 in the measure of sides of the kite.
Side 1 = (3x + 5)
= 3×2 + 5
= 11
Side 2 = (5x + 1)
= 5×2 + 1
= 11
Side 3 = (2x + 1)
= 2×2 + 1
= 5
Therefore, Total length of ribbon to line the long sides will be = 11 + 11
= 22 in.
Answer:
About 9.4 units
Step-by-step explanation:
Answer:
1.
= 3.143
2. Circumference
3. Area of the circle is 3850
.
ii. Circumference of the circle is 220 cm.
Step-by-step explanation:
The area, A, and the circumference, c, of a circle can be determined respectively by:
A = 

C = 2
r
where r is the radius of the circle.
1. the ratio of the circumference and diameter, D, of a circle is:
r = 
so that,
C = 2

C =
D
= 
= 
= 3.143
2. The distance around a circular region is known as it's circumference.
3. Given a circle of radius 35 cm, then:
A = 

=
x 
=
x 1225
= 22 x 175
A = 3850
Area of the circle is 3850
.
C = 2
r
= 2 x
x 35
= 2 x 22 x 5
= 220
C = 220 cm
Circumference of the circle is 220 cm.
This should help you out!