Point F is on circle C.
2 answers:
Answer
Find out the length of line segment GF .
To prove
In Δ GEF is a right triangle .
As shown in the diagram
GE = 10 units
EC = 7.5 units
By using the pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
GC² = GE² + EC²
= 10² + 7.5²
= 100 + 56.25
= 156 .25
GC = 12 .5 units
As shown in the diagram
CF is the radius of a circle .
CF = 7.5 units (As in the figure EC = 7.5 units)
GF = GC + CF
= 12 .5 units + 7.5 units
= 20 units
Therefore option (d) is correct .
Hence proved
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Answer:
51 rows
Step-by-step explanation:
Given
Length of bookmark = 20cm
Distance between beads = 4mm
Required
Number of rows of beads
First, the distance between the rows of beads must be converted to cm
if 1mm = 0.1cm
then
4mm = 4*0.1cm
4mm = 0.4 cm
This means that each row of beads is placed at 0.4 cm mark.
The distance between each row follows an arithmetic progression and it can be solved as follows;
Where (The last term)
(The first term)
(The distance between each row of beads)
n = ?? (number of rows)
Solving for n; we have the following;
becomes
DIvide both sides by 0.4
Add 1 to both sides
Hence, the number of rows of beads is 51