Answer:

Step-by-step explanation:
Given
Peter hits
Mary hits
Required
The probability that Mary wins
From the question, we understand that Peter throws the first.
If Mary is to win, then Peter has to lose his throw
Using the complement rule, the probability that Peter misses is:

So, the probability that Mary wins is:

This gives:

12/3 = 4
it was dilated with a scale factor of 4
Answer:
<em>Answer is </em><em>10</em><em>/</em><em>7</em>
Step-by-step explanation:
[tex] (\frac{6}{10} )r = \frac{6}{7} \\ cancelling \: 6 \: on \: both \: sides \\ (\frac{1}{10} )r = \frac{1}{7} \\ \frac{r}{10} = \frac{1}{7} \\ r = \frac{10}{7} \: \\
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Answer:
r = 7 cm; l = 11cm
The circle encloses more area than the square
Step-by-step explanation:
(a) Radius of circle
The formula for the circumference of a circle is
A = 2πr
r = A/(2π)
Data:
C = 44 in
Calculation:
r = 44/(2 × 22/7)
= 44/2 × 7/22
= 2/2 × 7
= 7 in
(b) Side of square
P = 4l
l = P/4
= 44/4
= 11 in
(c) Areas
(i) Circle
A = πr²
= 22/7 × 7²
= 22/7 × 49
= 22 × 7
= 154 cm²
(ii) Square
A = l²
= 11²
= 121 cm²
The circle encloses more area than the square.