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3 years ago

a rectangle has a diagonal 20 inches long that forms angles of 60 and 30 with the sides. find the perimeter of the rectangle.

Mathematics

1 answer:

kakasveta [241]3 years ago

8 0

Answer:

P = 47.32

Step-by-step explanation:

This triangle is a special triangle. Because it is 30-60-90 it will have measurements similar to $1 - \sqrt{3} - 2$ . If the longest side is 20 then it corresponds to 2. This means the shortest side of 1 corresponds to half this or 10.

So the triangle will have sides $10 - 10\sqrt{3} - 20$ .

To find the perimeter add all these lengths.

$P = 10 + 10\sqrt{3} +20\\P = 30+10\sqrt{3} \\ P = 47.32$

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Answer:

4.2 gigabytes

Step-by-step explanation:

To find the answer, you need to write an equation where the cost of Carolina Cell is equal to the cost of Sanford Cell:

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3 years ago

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Write the equation of a line having a slope of -3 and y intercept of -4

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3 years ago

Let an denote the nth term of a geometric sequence. let a0=256 and an+1=0.5an .

dusya [7]

The explicit formula is $a_{n-1} = 256 * 0.5^{n-1$ and the sum of the first 25 terms is approximately 512

<h3>The explicit formula</h3>

The given parameters are:

$a_0 = 256$

$a_{n +1} = 0.5a_n$

Set n = 0

$a_1 = 0.5a_0$

Substitute 256 for a0

$a_1 = 0.5 * 256$

$a_1 = 128$

This means that the common ratio is 0.5.

The explicit formula is then represented as:

$a_{n-1} = a_0 * r^{n-1$

This gives

$a_{n-1} = 256 * 0.5^{n-1$

<h3>The sum of the first 25 terms</h3>

This is calculated using:

$S_n = \frac{a_0(r^{n-1} -1)}{r - 1}$

This gives

$S_{25} = \frac{256 * (0.5^{25-1} -1)}{0.5 - 1}$

Evaluate

$S_{25} = 512$

Hence, the sum of the first 25 terms is approximately 512

Read more about geometric series at:

brainly.com/question/24643676

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