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Bond [772]
2 years ago
9

The area of a rectangle is 44 square units. Its length measures 4 units. Find the length of its diagonal. Round to the nearest t

enth of a unit.
Mathematics
1 answer:
NikAS [45]2 years ago
3 0

Answer:

√(137)

Step-by-step explanation:

First, you will need to find the other side length.....then you can use the Pythagorean Theorem to find the diagonal:

L x W = 44

4 x W = 44

W =11

Now the Pythag, Theorem:

 diagonal^2 = 4^2 + 11^2

        d^2 = 16+121

         d^2 = 137

          d = √(137)

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Answer:

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Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

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Step 2: simplifying the coefficients of x:

2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}

Step 3: Adding 1/4 to both sides

\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\

Step 4: Multiplying both sides by 5/7

\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3

4 0
2 years ago
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#9 - The Question
melamori03 [73]

Answer:

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Step-by-step explanation:

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We could use a proportion to figure the number of bags corresponding to $126 in earnings, then subtract the 72 bags already sold. Essentially, we will do this, but without the intermediate numbers.

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vesna_86 [32]

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Step-by-step explanation:

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The estimated quotient of 900.37 and 28.9 is 30.

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