Answer:
368 sq. units.
Step-by-step explanation:
We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.
Now, the four isosceles right triangles have one leg equal to 4 units.
Therefore, the area of four triangles = 
sq. units.
Now, we have the area of the given square is (20 × 20) = 400 sq. units.
Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)
Answer:
K=-2.5
Step-by-step explanation:
because the line is in the middle of 2 and 3 and is below which means that it is negative
Answer:
Ok, let's calculate the number of possible outcomes:
First, let's see the events and the number of outcomes in each event:
Drawing a card --- 4 outcomes
Rolling a number cube ---- 6 outcomes.
The total number of outcomes will be equal to the product between the number of outcomes in each individual event, this is:
C = 4*6 = 24.
Now, suppose that you have a restriction like:
"What is the probability that you have an odd number in the number cube?"
Ok, let's do the same:
Drawing a card ---- 4 outcomes (the restriction does not affect this event)
Rolling a number cube ---- 3 outcomes (because there are only 3 odd numbers)
The number of combinations is:
C' = 4*3 = 12.
Then the probability will be the quotient between the number of outcomes that meet the condition and the total number of outcomes:
P = C'/C = 12/24 = 0.5
