Answer:
A ∩ B = {12}
Step-by-step explanation:
What are the possible even outcomes?
Assuming the number cubes are 1-6,
our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.
How many of those are divisible by 3? B={12}.
We are looking for what is in common between these, so
A ∩ B= {12}
Answer:
F' is at (8, -10)
Step-by-step explanation:
clockwise or counter-clockwise do not matter when the rotation is 180°
Answer:
33%
Step-by-step explanation:
h steps:
Step 1: We make the assumption that 51 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=51$.
Step 4: In the same vein, $x\%=17$.
Step 5: This gives us a pair of simple equations:
$100\%=51(1)$.
$x\%=17(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{51}{17}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{17}{51}$
$\Rightarrow x=33.33\%$
Therefore, $17$ is $33.33\%$ of $51$.
1.06, 1.16, 1.6, 1.62, 1.66
Answer:
The endpoints of the line segment CD are:
$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$
We find the midpoint using th