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Since a target is a circle and the bulls-eye is also a circle, the percent of the circle that is bulls-eye would be (Area of the bulls eye)/(Area of the target)
[tex] A = \pi r^{2} \\
d = 2r \\ r = \frac{d}{2} \\\\
\frac{ \pi ( \frac{d}{2})^{2}}{ \pi ( \frac{d}{2})^{2} }= \frac{ \pi ( \frac{3}{2})^{2}}{ \pi ( \frac{15}{2})^{2} }\\
\frac{ \pi ( \frac{3}{2})^{2} }{ \pi ( \frac{15}{2})^{2} } = \frac{ \pi (1.5)^{2} }{ \pi (7.5)^{2} } \\
\frac{ \pi (1.5)}{ \pi (7.5) } = \frac{ \pi (2.25)}{ \pi (56.25)}\\
\frac{ \pi (2.25)}{ \pi (56.25)}=\frac{2.25}{56.25}= 0.04 [tex]
So the bulls-eye takes up 4% of the target.
QUESTION 1
The dimensions of the rectangular blanket are;

and

The perimeter is given by,

We substitute the dimensions to obtain,

Expand bracket to get,

This simplifies to

QUESTION 2
When

The perimeter becomes



QUESTION 3
Area is given by


We expand to get,

This gives us,

QUESTION 4
If

Then the area becomes,




QUESTION 5.
When the length of the blanket is 5cm longer, then the length of the new blanket becomes


The width is still

The perimeter of the new blanket is

This implies that,


Comparing to the old perimeter which is

,
The perimeter changes by 10 units
Answer:

Step-by-step explanation:
Denote first four terms of the geometrc sequence as

Note that

Then the common ratio is

Therefore, the recursive formula for the geometric sequence is

Answer:
Step-by-step explanation:
What's x