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Lyrx [107]
3 years ago
6

Find the ratio a:b, if it is given that a+b=3b

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

Step-by-step explanation:

a + b = 3b

a = 3b - b

a = 2b

a/b = 2/1

a:b = 2:1

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Make slope intercept
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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
3 years ago
How many times larger is 700 than 70?
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When it comes to hundreds and thousands and even millions, you can tell how much bigger something is by how many more zeros are at the end. Each new zero added, is another rank up. The system goes:

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4 years ago
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