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1 answer:
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Answer:
<h2>height = 12 cm</h2>Step-by-step explanation:
Area of a triangle is given by
where
b is the base
h is the height
From the question
Area = 21 m²
The statement
The height of a triangle is 8 m more than the length of the base is written as
h = 8 + b
Make b the subject
That's
b = h - 8
Substitute the expression into the above formula and solve for the height
That's
Multiply through by 2
h² - 8h = 48
h² - 8h - 48 = 0
(h + 4)(h - 12) = 0
h + 4 = 0 h - 12 = 0
h = - 4 h = 12
Since the height cannot be a negative number we have the final answer as
<h3>height = 12 cm</h3>Hope this helps you
Using weighed averages, it is found that:
- The final grade is 91.
- The final grade is 66.8.
- The higher grade would be 79.55, with the second grading scheme.
- On average, she sold $48,280 per day.
- On average, she makes $12.5 per hour.
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To find the weighed average, we multiply each value by it's weight.
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Question 1:
- Grade of 91, with a weight of 67%.
- Grade of 91, with a weight of 33%.
Thus:
The final grade is 91.
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Question 2:
- Grade of 83, with a weight of 40%(highest grade).
- Grade of 60, with a weight of 30%.
- Grade of 52, with a weight of 30%.
Thus:
The final grade is 66.8.
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Question 3:
With teacher 1:
- 75 with a weight of 25%.
- 80 with a weight of 10%.
- 85 with a weight of 40%.
- 62 with a grade of 25%.
Thus:
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With teacher 2:
- 75 with a weight of 15%.
- 80 with a weight of 10%.
- 85 with a weight of 60%.
- 62 with a weight of 15%.
Thus:
The higher grade would be 79.55, with the second grading scheme.
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Question 4:
- Average of $36,432, with a weight of
- Average of $51,834, with a weight of
Thus:
On average, she sold $48,280 per day.
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Question 5:
- Average of $14.84, with a weight of
- Average of $10.76, with a weight of
Thus:
On average, she makes $12.5 per hour.
A similar problem is given at brainly.com/question/24398353
Answer:
Step-by-step explanation:
Future value with continuous compounding ; FV =
Introduce <em>ln </em>on both sides of the equation
ln 60 = ln
note: ln
Next, solve the equation;
4.09 = 38r
Divide both sides by 38 to solve for r;
4.09/38 = r
r= 0.107746 or 10.7746%
Therefore the rate would be 10.775% to the nearest a tenth of a percent.