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22millt
29.11.2019 •
Mathematics
Acosmetic company makes scented lotion using the recipe shown. each bottle holds a different amount of lotion, in ounces. drag numbers to show how much of each scent should be used in each bottle of lotion.
1/8 of the scent vanilla
3/8 of the scent almond
1/2 of the scent pineapple
Solved
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Ответ:
bottle 1 bottle 2 bottle 3
vanilla : 1 2 1 1/2
almond : 3 6 4 1/2
pineapple : 4 8 6
Ответ:
m(∠LMN) = 67.44°
Area of ΔMNL = 16.66 square units
Step-by-step explanation:
By applying Sine rule in the ΔLMN,
SinM =![\frac{\text{Sin}38\times 7.2}{4.8}](/tpl/images/0707/1482/d432c.png)
SinM = 0.9235
M =![\text{Sin^{-1}}(0.9235)](/tpl/images/0707/1482/39d86.png)
![\text{Sin}^{-1} (0.9235)](/tpl/images/0707/1482/0f526.png)
M = 67.44°
m(∠M) + m(∠N) + m(∠L) = 180°
67.44 + 38 + m(∠L) = 180°
m(∠L) = 180 - 105.44
m(∠L) = 74.56°
Area of ΔMNL =![\frac{1}{2}(\text{ML})(\text{NL})\text{Sin}(74.56)](/tpl/images/0707/1482/76fe2.png)
=![\frac{1}{2}(4.8)(7.2)(0.96391)](/tpl/images/0707/1482/16fa1.png)
= 16.66 square units