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sergiy2304 [10]
4 years ago
14

Given the diagram below, what is cos(45°)?

Mathematics
2 answers:
PtichkaEL [24]4 years ago
7 0

Answer:

Answer is D

Hope this helps you

Mark me as brainliast

Mkey [24]4 years ago
7 0

As we can see, this is a 45 45 90 triangle

The legs of the triangle are equal and the hypotenuse = leg * sqrt(2)

In this case,

The hypotenuse = 6 * sqrt(2)

Cos(45) = 6 / (6 * sqrt(2))

The 6's cancel each other out and you're left with:

1 / sqrt(2)

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Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

r=\sqrt{a^2+b^2} and filling in:

r=\sqrt{(-9\sqrt{3})^2+(9)^2 } (notice we do not put the i in there with the 9).

r=\sqrt{243+81} so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

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Step-by-step explanation:

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3 years ago
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A decorative floor pattern has 1 red square tile surrounded by 12 blue tiles. Wrote and evaluate an expression to show how many
ehidna [41]

This question is worded badly, so don't be alarmed.

Obviously if this were a square patter the number of red tiles could only be 1,4,9,16,25,36 etc and this is not the numbers given...It would help tremendously if they gave you another reference point so as to know how the tiles were being laid out.

If they are laid out alongside one another with a consistent border for each you wouldn't need 12 blue tiles for each red tile either...if two were laid side by side you would only need 20 blue tiles to have the border around both...you see how the arrangement makes a huge difference and you are given no details as to what that arrangement is...

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