Answer:
14
Step-by-step explanation:
The law of cosines is a² = b²+c²-2bc(cos A).
We will use s in place of a, since it is the unknown side. This makes b and c 8 and 9.
Angle A will be the angle opposite side a, or in this case side s. This makes it 111.
This gives us
s² = 8²+9²-2(8)(9)(cos 111)
s² = 64+81-2(8)(9)(cos 111)
s² = 145-144(cos 111)
s² = 196.605
Take the square root of each side:
√(s²) = √(196.605)
s = 14.02 ≈ 14
9514 1404 393
Answer:
(x, y, z) = (1/3, 2/3, 1)
Step-by-step explanation:
We can use the first equation to write an expression for x that can be substituted into the other equations.
x = 1 -y
2(1 -y) -y +z = 1 ⇒ -3y +z = -1
(1 -y) +2y +z = 8/3 ⇒ y +z = 5/3
Subtracting the first of these equations from the second gives ...
(y +z) -(-3y +z) = (5/3) -(-1)
4y = 8/3
y = 2/3
z = 5/3 -y = 1
x = 1 -y = 1/3
The solution is (x, y, z) = (1/3, 2/3, 1).
There is certainly less that 900 people... but the circle is not here.
12x^4 - 42x^3 - 90x^2 =
6x^2(2x^2 - 7x - 15) =
6x^2(2x+3)(x - 5) <==
Answer:
n=-4
Step-by-step explanation:
n=56/-14
n=-4
