Answer:
A student with GPA of 2.15 worked 47.8 hours per week.
Step-by-step explanation:
To find the numbers of hours worked when the GPA is 2.15, we solve the equation when or:
which can be rewritten as (<em>by subtracting 2.15 from both sides)</em>
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We solve this using the quadratic equation which says, for ,
in our case
,
therefore, we have
and since only the positive solution applies to the real word, we choose , and therefore, a student with GPA of 2.15 worked 47.8 hours per week.
I have a lead pencil and only 2 pieces of lead left. One is 5/6 inches long and the other is 1/3 inches long. How many times longer is the 5/6 then the 1/3?
In the given diagram, the length of diagonal IE is 30. The correct option is (2) 30
<h3>Calculating the length of a diagonal of a Rhombus </h3>
From the question, we are to determine the length of diagonal IE
From the given information,
/TG/ = 16
∴ /RG/ = 16÷2 = 8
NOTE: The diagonals of a rhombus bisect each other at right angles
Then,
/GE/² = /ER/² + /RG/² (<em>Pythagoras' theorem</em>)
From the given information, the perimeter of the rhombus is 68
Since all the sides of a rhombus are equal to one another,
Then,
/GE/ = 68÷4
/GE/ = 17
Thus,
17² = /ER/² + 8²
289 = /ER/² + 64
/ER/² = 289 - 64
/ER/² = 225
/ER/ = √225
/ER/ = 15
But,
/IE/ = 2 × /ER/
∴ /IE/ = 30
Hence, the length of diagonal IE is 30. The correct option is (2) 30
Learn more on Calculating length of a diagonal of a rhombus here: brainly.com/question/12354523
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I am sorry i do not know the answers