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3 years ago

Please help me i don’t understand this

Mathematics

1 answer:

Ad libitum [116K]3 years ago

8 0

Answer:

$\sin(47) = \frac{y}{5} \\ 0.7 \times 5 = y \\ y = 3.5$

${5}^{2} = {3.5}^{2} + y {}^{2} \\ \\ {x }^{2} = 25 - 12.25 \\ 12.75 \\ = 3.5$

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svetoff [14.1K]

Answer:

See below

Step-by-step explanation:

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$b^{2}=a^{2}+c^{2}-2acCos(B)$

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After you have a side and the opposed angle (side b and angle B), you use the law of sines:

$\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}$

I will calculate angle A first:

$[tex]\frac{27.5}{sin36} =\frac{41}{sinA} \\sinA =\frac{41}{27.5} sin36 \\sin A = 0.876 \\A = 61.2\°$ [/tex]

Same for angle C:

$\frac{27.5}{sin36} =\frac{20}{sinC} \\sinC =\frac{20}{27.5} sin36 \\sin C = 0.427 \\C = 25.3\°$

The sum of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum must be 180° so this isnt a triangle.

I re did the problem using B as 63° instead of 36° in case you wrote it wrong and I got a satisfactory answer.

using B = 36:

b = 36.6

angle A = 86.4°

angle C = 29.1°

A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°

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Answer:

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