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jonny [76]
3 years ago
15

Margaret noticed some students in her class like to write with short pencils, while others were using long pencils. She measured

the lengths of each student's pencil and displayed the results in a line plot. If the lengths of the pencils were divided equally among the total number of pencils, what would be the length of each pencil?
Mathematics
1 answer:
Yuliya22 [10]3 years ago
6 0
I’m going to need a bit more information to offer help on this question. I’m sorry
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Calculate the side lengths a and b to two decimal places.
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Answer:

a=10.92 units

b=14.51 units

Step-by-step explanation:

We are given that c=6 units

\angle A=43^{\circ}

\angle B=115^{\circ}

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

\angle A+\angle B+\angle C=180

Substitute the values then we get

43+115+\angle C=180

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\angle C=180-158=22^{\circ}

sine law: \frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}

\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}

a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}

a=10.92 units

\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}

b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51

b=14.51 units

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