Given the sides of a triangular rug and an included angle between them, the area is calculated through the equation,
A = 0.5ab (cos C)
where a and b are the lengths of the side and C is the included angle.
A = 0.5(5 ft)(4 ft)(cos 79°)
A = 1.9 ft²
Thus, the area of the triangular rug is approximately 1.9 ft².
Answer:
Standard form of 
is 
Step-by-step explanation:
Convert from vertex form to standard form
If the vertex form is: 
The Standard form is: 
Now, converting into standard form
We know that: 
Using the formula:
So, Standard form of is
Answer:
Step-by-step explanation:4w/9=-8
4w=-17
W=-4.25
Answer:
(27 x^3 + 54 x^2 + -5 x + 3)/3
Step-by-step explanation:
Simplify the following:
9 x^3 + 18 x^2 - (2 x)/3 - x + 1
Put each term in 9 x^3 + 18 x^2 - (2 x)/3 - x + 1 over the common denominator 3: 9 x^3 + 18 x^2 - (2 x)/3 - x + 1 = (27 x^3)/3 + (54 x^2)/3 - (2 x)/3 - (3 x)/3 + 3/3:
(27 x^3)/3 + (54 x^2)/3 - (2 x)/3 - (3 x)/3 + 3/3
(27 x^3)/3 + (54 x^2)/3 - (2 x)/3 - (3 x)/3 + 3/3 = (27 x^3 + 54 x^2 - 2 x - 3 x + 3)/3:
(27 x^3 + 54 x^2 - 2 x - 3 x + 3)/3
-3 x - 2 x = -5 x:
Answer: (27 x^3 + 54 x^2 + -5 x + 3)/3
Answer:
11%
Step-by-step explanation:
the answer is 11 because you need to minus
