A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple
1 answer:
Answer:
578 + 48 square inches
Step-by-step explanation:
The computation of the area of the purple band is as follows:
Area of the green square = side^2 = x^ square inches
And, the area of the orange square = side^2
The side would be = = 12 + 12 +x = 24 + x
And, now the area would be = (x + 24)^2
Now the area of the orange band is
= Area of the orange square area of the green square
= (x + 24)^2 - x^2
= x^2 + 24^2 + 48 - x^2
= 578 + 48 square inches
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Answer:
The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Step-by-step explanation:
We have 10 possible outcomes on a single throw.
So, outcomes in 3 throws = outcomes.
Let x be the number of strictly increasing arrangements.
Let y be the number of strictly decreasing arrangements.
Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing
So, we have
If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.
So, x = y
Hence, we can say the final equation will be :
And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.
10C3= = 120 ways
So,
Thus
So, the probability is =
Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Answer:
10
Step-by-step explanation:
To calculate the distance d use the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, 2) and (x₂, y₂ ) = (- 5, - 8)
d =
=
= =
= 10