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Citrus2011 [14]
2 years ago
11

Subtract. Simplify, if possible. 5/8 - * 2 1 / 2 - 3

Mathematics
1 answer:
Nat2105 [25]2 years ago
8 0

2\frac{1}{2} - \frac{5}{8}

Convert the mixed number to an improper fraction:

\frac{5}{2} - \frac{5}{8}

Subtract the fractions to get your final answer:

\frac{15}{8}

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Answer:

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Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

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b = 66.5

  • It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.

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Step-by-step explanation:

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