In a class of 32 boys, 16 passed the
2 answers:
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the value of c that makes the expression a perfect square binomial is c=4 .
<u>Step-by-step explanation:</u>
Here we have , an expression x2 + 4x + c or , . We need to find the value of c that makes the expression a perfect square binomial. Let's find out:
We have ,
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Now , we know that
Comparing above equation , to we get ;
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Therefore , the value of c that makes the expression a perfect square binomial is c=4 .
Answer:
Part A)
Each diagonal is about 9.43 feet.
Part B)
In total, Wally needs about 736.02 feet of wood.
Step-by-step explanation:
Part A)
Since each vertical board has a width of 8 inches, for one section with 12 vertical boards, the total width will be 8(12) = 96 inches.
96 inches is the same as 96/12 = 8 feet.
We are also given that the horizontal pieces will be 5 feet apart.
To find the diagonal, we can use the Pythagorean Theorem. The 8 is the base and 5 is the height. Therefore:
Compute:
Taking the square root, we acquire:
So, each diagonal is about 9.43 feet.
Part B)
For each section, we have two horizontal pieces (each 8 feet) and one diagonal piece (each √89 feet).
Therefore, for one section, we will need a total of:
Then for 30 sections, we will need:
Approximate:
Wally will need about 736.02 feet of wood in total.