Answer:
Step-by-step explanation:
Cos θ =<u> u*v </u>
IuI *IvI
u * v = 7*(-1) + (-2)*2
= -7 - 4
= -11
IuI = 
= 
= 
I vI = 
= 
= 
Cos θ = 
= 
Cos θ = -0.68
θ = 132.5°
Answer:
YZ = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
Length of XZ = 13
Lenght of XY = 5
Lenght of YZ =?
The length of YZ can be obtained by using pythagoras theory since the figure is a right angle triangle. This can be obtained as follow:
XZ² = XY² + YZ²
13² = 5² + YZ²
169 = 25 + YZ²
Collect like terms
169 – 25 = YZ²
144 = YZ²
Take the square root of both side.
YZ = √144
YZ = 12
Therefore, the length of YZ is 12
The equation would be 2x+3 so when you plug it in it's 2(-2)+3 which simplify to -4+3 which is -1
Answer:
2 to 1; 2:1
Step-by-step explanation:
There are two cups of water and one cup of rice. It's a two to one ratio.
First we have to assume that each quarter touched each other. Hence the area of the table not covered by the coins (A) is equal to the total area of the table (At) minus the total area of the coins (Ac). Coins are circle, so

and r =24.26mm. The area of one coin is then 1848.98mm^2. Hence the equation is A = At - xAc where x is the number of coins.