Use your SOH CAH TOA functions to find the missing legs. Do Sin(53.1) and that is equal to opposite (PU) over hypotenuse (UG) so to solve for the PU leg just set up an equation that says sin(53.1)=PU/36 so then you can just multiply the 36 over and that gives you the leg. To find PG do adjacent over hypotenuse so Cosine, cos(53.1)=PG/36 and again just multiply over the 36 and that gives you PG
There would be 3 and 1/2 pounds left.
2/3 x 2 = 4/6
5/6
5/6 + 4/6 = 6/6 (1) and 3/6 (1/2)
The answer
5
Explanation
The shape is a pentagon
Answer: Choice C
7 divided by cosec 50 degrees
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Explanation:
Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)
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Let the horizontal leg be x
This leg is opposite the angle 50 degrees. The hypotenuse is 7
Opposite = x
Hypotenuse = 7
We'll either use the sine rule or the cosecant (csc) rule
sine = opposite/hypotenuse
cosecant = hypotenuse/opposite
Since "sine" is nowhere to be found in the answer choices, we'll use the cosecant rule
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cosecant = hypotenuse/opposite
csc(angle) = hypotenuse/opposite
csc(50) = 7/x
x*csc(50) = 7
x = 7/csc(50)
This is why the answer is choice C