Answer:
E' (-2,5)
F' (-3,1)
G' (-2,-1)
H' (0,3)
Step-by-step explanation:
The rule for 90 degree clockwise rotation is (h,k) -> (k,-h). This means flip the x-value's sign and then switch x and y's position. For example E (-5,-2), first flip x's sign (5,-2) and then switch x and y's places (-2,5).
She should use a computer to select 30 students at random then ask which ones play chess. The other options could produce more skewed results.
This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.
Doing so leads to the answer [3 -12 15 -21]
Side note: I'm assuming the matrix given to you has 1 row and 4 columns.
The first thing we must do for this case is to calculate the volume of the can using the largest diameter:
V = pi * ((d / 2) ^ 2) * (h)
Where,
h: height
d: diameter.
Calculating we have:
V = pi * ((2.60 / 2) ^ 2) * (4.83) = 25.64 in ^ 3
Then, to determine the amount of liquid in millimeters, we can use a simple rule of three:
1 in ^ 3 ---> 16.3891 milliliters
25.64 in ^ 3 ---> x
Clearing x we have:
x = ((25.64) / (1)) * (16.3891) = 420.22 mm
answer
The amount of liquid that has been bottled in milliliters is 420.22 mm
