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postnew [5]
3 years ago
6

Find the length of the side of the square if the number of square meters in its area is 1.5 times the number of meters in its pe

rimeter
Mathematics
1 answer:
Alinara [238K]3 years ago
8 0

a - a length of side of square

The area: A = a²

The perimeter: P = 4a

The equation:

a^2=1.5\cdot4a\\\\a^2=6a\ \ \ \ |-6a\\\\a^2-6a=0\\\\a(a-6)=0\iff a=0\ \vee\ a-6=0\\\\\boxed{a=6}

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13. In ADGE,DG = 8,GE = 17, and DE = 15. What is the length of DF? Round to the nearest hundredth.
Ronch [10]

Answer:

Step-by-step explanation:

The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.

DG*DE/2 = GE * DF/2            Multiply both sides by 2

DG*DE = GE * DF

DG = 8

DE = 15

GE = 17

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the ratio of the length to width in a full-size cello is approximately 8 to 3. What is the width of a full-size cello that is 45
Brut [27]

Answer:

w = 16.875 inches

Step-by-step explanation:

Given that the ratio of the length to width in a full-size cello is approximately 8 to 3.

This will be a constant for all cellos

Using the above we can find out length if we know width and vice versa.

Here we know the length = 45 inches

Since \frac{l}{w} =\frac{8}{3} =\frac{45}{w}

BY cross multiplication we find that

8w = 3(45)

Or w = 16.875 inches

Verify:

Let us check our answer by comparing with proportion

l/w = 45/16.875 = 8/3

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Answer:

Step-by-step explanation:

Read simply, it is m + (r - 2). It is a very clear statement, so you can depend on the answer.

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