Answer:
∡A =41°
~~~~~~~~~~~~
BC=21
~~~~~~~~~~~~~~
sin(24)/AC=sin(41)/21
AC=13
~~~~~~~~~~~~~~
sin(115)/AB=sin(41)/21
AB=29
Step-by-step explanation:
Answer:

Step-by-step explanation:
Angles <em>B</em><em> </em>and<em> </em><em>C</em><em> </em>form a straight angle, so you set both expressions equal to 180°:
180° = (2x + 15)° + x°
180° = 15° + [3x]°
- 15° - 15°
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![\displaystyle \frac{165°}{3°} = \frac{[3x]°}{3°} \\ \\ 55° = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B165%C2%B0%7D%7B3%C2%B0%7D%20%3D%20%5Cfrac%7B%5B3x%5D%C2%B0%7D%7B3%C2%B0%7D%20%5C%5C%20%5C%5C%2055%C2%B0%20%3D%20x)
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Answer:
$300
Step-by-step explanation:
In this question, we are simply asked to calculate the simple interest on $3000, at a rate of 20% paid after 6 months.
We can do this as follows. Mathematically, it should be remembered that:
S.I = PRT/100
In this case, we lost out the individual values as follows:
P = $3000, R = 20% and T = 6 months = 0.5years, S.I = ?
We substitute the parameters into the equation:
S.I = (3000 * 20 * 0.5)/100 = $300