Answer:
27a^3b^3 + 8b^3
Step-by-step explanation:
because
Start off by "switching" the variables
then solve for "y"
Sum greater than 9 from the Sample Space are:
{(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}
so, in total 6 out of total 36 combinations have a sum greater than 9
So,
Probability(sum>9)=0.167
Answer:
<u>Area = 34.2 cm²</u>
Step-by-step explanation:
The general formula of the area of the triangle is half the product of two sides multiplied by the sine the angle between them.
So, for the given triangle ABC
AC = 9 cm, AB = 8 cm, CB = 10 cm
Area = 0.5 AC * AB * sin A or 0.5 BC * BA * sin B or = 0.5 CA * CB * sin C
Using the first form, so we need the measure of angle A
Using cosine low: cos A = (b² + c² - a²)/(2bc)
Where: a = BC = 10 , b = AC = 9 and c = AB = 8
So. cos A = (9² + 8² - 10²)/(2 * 9 * 8 ) = 0.3125
∠A = cos⁻¹0.3125 = 71.79°
So, Area = 0.5 AC * AB * sin A = 0.5 * 9 * 8 * sin 71.79° = 34.2 cm²
<u>So, Area = 34.2 cm²</u> to the nearest one decimal place