Slope of perpendivular line 5x+4y=8
1 answer:
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Answer:
Length = 17 feet, Width = 5 feet
Step-by-step explanation:
Given:
The area of a rectangular wall of a barn is 85 square feet.
Its length is 12 feet longer than the width.
Question asked:
Find the length and width of the wall of the barn.
Solution:
Let width of a rectangular wall of a barn =
<u>As length is 12 feet longer than the width.</u>
Length of a rectangular wall of a barn =
As we know:
Subtracting both sides by 85
As width can never be in negative, hence width of a rectangular wall of a barn = = 5 feet
Length of a rectangular wall of a barn =
Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.
Answer:
Step-by-step explanation:
By definition composite function would be:
Then, if g(2)=3 and f(3)=16, therefore for f(g(x)):
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
