Wayne is hanging a string of lights 58 feet long around the three sides of his patio, which is adjacent to his house. The length
of his patio, the side along the house, is 6 feet longer than twice its width. Find the length and width of the patio.
1 answer:
Answer:
The length of the patio is 32 ft and the width is 13 ft
Step-by-step explanation:
see the attached figure to better understand the problem
Let
L ----> the length of his patio
W ---> the width of his patio
we know that
----> equation A
----> equation B
substitute equation B in equation A and solve for W
Find the value of L
---->
therefore
The length of the patio is 32 ft and the width is 13 ft
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Answer:
Step-by-step explanation:
We know that between 1 to 10 there are 5 even and 5 odd numbers.
We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards
Let´s check all this combinations
Case 1: When all 4 numbers are even:
We are going to take 4 of the 5 even numbers in the box so we have
Case 2: When all 4 numbers are odd:
We are going to take 4 of the 5 odd numbers in the box, so we have
Case 3: When 2 are even and 2 are odd:
We are giong to take 2 from 5 even and odd cards in the box so we have
Remember that we obtain the probability from
So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:
We are taking 4 of the 10 cards:
Hence we have that the probability that their sum is even