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laurentsofia09
15.01.2021 •
Mathematics
Justin is packing a container with books.
The dimensions of each box are 8 inches by 6 inches by 2 inches.
The dimensions of the container are 16 inches by 12 inches by 12 inches.
All of the books and the container are rectangular prisms.
How many books can fit in the container if the books are packed so that there is no unused space in the container?
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Ответ:
The approximate measure of angle K is 34°
Step-by-step explanation:
In ΔJKL
∠L = 105°
JK = 4.7
JL = 2.7
Sine Rule:
So,![\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70](/tpl/images/0693/5195/02646.png)
K ≈ 34°
So, Option B is true
Hence The approximate measure of angle K is 34°