Answer: 10 4/5
Convert the mixed numbers to improper fractions
Use the algebraic formula for addition of fractions:
a/b + c/d = (ad + bc) / bd
Reduce fractions and simplify if possible
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
Answer: False.
Step-by-step explanation:
A corollary is the statement that follows with no or small proof required from an already proven statement or theorems.
Its proof is not difficult because it is based on the statement or theorem which has been already proved.
For example the fundamental theorem of algebra and its corollary.
Therefore, the statement "A corollary is a statement that can be proved using a theorem, but the proof is usually difficult." is false.
<span>The value of A can only be 1, the value of C can only be -3, and the value of B is 0.</span>