Twelve and eight hundred seventy three thousandths
If the bigger pentagon has side length of 5 units and the smaller pentagon has side length of 1 unit, you can know that the dilation was 1/5 = 0.2
This means that the sides of the big pentagon were multiplied by 0.2 to obtain the smaller pentagon.
Part 1:
Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.
Thus, half the angle formed by the chord at the centre of the circle is given by:

Now,

Therefore, the radius of the circle is
10.4 cm to 1 d.p.
Part 2I:
Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

Now,

Part 2II:
Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately
12.9 cm.
The value of the probability P(3≤x<7) is 1
<h3>How to evaluate the probability expression?</h3>
The expression is given as: P(3≤x<7)
This is calculated using:
P(3 ≤ x < 7) = P(3) + P(4) + P(5) + P(6)
Using the figure of the probability density function (see attachment), we have:
P(3 ≤ x < 7) = 0.30 + 0.30 + 0.20 + 0.20
Evaluate
P(3 ≤ x < 7) = 1
Hence, the value of the expression is 1
Read more about probability density function at:
brainly.com/question/15318348
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Answer:
3000
Step-by-step explanation:
2000 x 9 = 18000
18000 divided by 6 is 3000