Set up an algebraic equation. This is what it looks like based on what the question tells you:
Let a = area of pentagon
a+27 = 4a-15
3a-15 = 27
3a = 42
a = 14
If you got 55.6% on a test and that test is worth 80%
So first let us calculate the actual percentage that you scored.
The actual percentage is

So your actual score on the test is 69.5%
The grading system varies across countries and states
The traditional grading scale is given below
90% to 100% corresponds to A grade.
80% to 89% corresponds to B grade.
70% to 79% corresponds to C grade.
60% to 69% corresponds to D grade.
0% to 59% corresponds to F grade.
69.5% can be rounded off to 70%
Therefore, 69.5% corresponds to C grade.
(note: the above grade is not valid in case your school follows a different grading scale)
To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9
The number of mole of pure 11C (carbon-11) initially present is 0.2727 mole
<h3>Description of mole </h3>
The mole of a substance is related to it's mass and molar mass according to the following equation
Mole = mass / molar mass
With the above formula, we can obtain the number of mole of pure 11C. Detail below:
<h3>How to determine the mole of 11C</h3>
From the question given, the following data were obtained:
- Molar mass of 11C = 11 g/mol
- Mass of 11C = 3 g
- Mole of 11C =?
Mole = mass / molar mass
Mole = 3 / 11
Mole = 0.2727 mole
Therefore, the number of mole of pure 11C initially present is 0.2727 mole
Learn more about mole:
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Answer:
B
Step-by-step explanation:
half of 59 is 29.5, which is very close to 29. this indicates that this fraction (29/59) is the closest to one half, which is answer choice B.