For this problem, you need to know the distance formula, as that'll give you the length of the line segment.
Using points A and B, the formula becomes:
Length cannot be negative, so the length of AB is
13.
The dimensions of the rectangle will be 6 inches and 12 inches.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
The length of a rectangular poster is 9 more inches than half its width.
L = W/2 + 9
The area of the poster is 72 square inches. Then we have
72 = L × W
72 = (W/2 + 9) × W
144 = (W + 18) × W
144 = W² + 18W
W² + 18W - 144 = 0
Then the factor of the equation will be
W² + 18W - 144 = 0
W² + 24W - 6W - 144 = 0
W(W + 24) - 6(W + 24) = 0
(W + 24)(W - 6) = 0
W = -24, 6
The width of the rectangle is 6 inches. Then the length of the rectangle will be
L = 6/2 + 9
L = 3 + 9
L = 12 inches
The dimensions of the rectangle will be 6 inches and 12 inches.
More about the area of the rectangle link is given below.
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Answer:
Expected project duration is determined as a direct result of computing the earliest starting and finishing times for the activities of a project network.
Step-by-step explanation:
In project management, early start is the earliest moment at which a specific activity may start and early finish the earliest moment at which it can end. Early finish (es) is computed as:
EF = ES + d
where d is the activity duration and ES early start
Early start is computed as
ES: Max (EF-1)
or the maximum early start of predecessory activities.
Once we have calculated these values in the network for each activity , the early finish of last activity corresponds to the expected project duration, the earliest time in which we may finish the project if there are no issues.
Max project duration is open question as we could have infinite delays or never finish the project. Time variance in project duration may only be estimated once we have actual execution times of our project.
Slack time and critical path are obtained after obtaining the ES and EF but this info alone is not sufficient. We require either the late start or the late finish of the activities to calculate slack, Zaero slack activities, those that cannot be delayed form critical path and can only be obtained after having ES. EF. LS and LF
Using proportions, it is found that:
a) A raise of $500 would be equivalent to a percentage of 80%.
b) From the above percentage, it would fall into the Gold Award range.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using arithmetic operations such as multiplication and division.
One example of application of proportions is for percentage problems, as a percentage is given by the amount a divided by the total amount b, and multiplied by 100%.
The goal of the raise is of $625, hence b = 625, and considering a raise of $500, a = 500, hence the percentage of the raise is given as follows:
500/625 x 100% = 80%.
To find the range of the raise, we look at the table. For a percentage of 80%, the amount is a Gold Award contribution.
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