Using pythagoras theorem.
2 answers:
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<u>Answer:</u>
• Equation =
• length = 56 ft
• width = 32 ft
<u>Step-by-step explanation:</u>
The ratio of the length to width is 7:4.
∴
⇒ [Equation 1]
We know that the perimeter of the garden is 176 feet.
∴
⇒
⇒ [From Equation 1]
⇒
⇒
⇒
⇒
We know from Equation 1 that:
∴
⇒
To complete the table it is necessary to know the possibilities that the sergeant has to change or remain in an intersection. The probabilities (depending on the box) are:
- 0
- 0.2
- 0.25
- 0.33
<h3>How to calculate the probability of intersection change? </h3>
To know the probability of intersection change, it is necessary to locate the police officer at one of the intersections. Subsequently, count how many possibilities of change you have, for example: 3 possibilities and finally add the possibility of remaining in the intersection as shown below:
- Intersection 3 has 3 possibilities of changing towards intersections 2, 8 and 4. Additionally, it has the possibility of staying at intersection 3, that is, it has 4 possible decisions.
To know the probability we divide the number 1 (because it is only a decision that we have to make) and divide it by the number of possibilities (4).
- 1 ÷ 4 = 0.25
According to the image we can infer that in some intersections they only have 3, 4 and 5 possibilities, so the probability of change will be different as shown below:
- 1 ÷ 3 = 0.33
- 1 ÷ 4 = 0.25
- 1 ÷ 5 = 0.2
Learn more about probabilities in: brainly.com/question/8069952
