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2 years ago

Evaluate. Write your answer in simplified, rationalized form. Do not round.

Mathematics

1 answer:

borishaifa [10]2 years ago

3 0

Answer:

cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

x^2 +x^2 = 1

x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

x = √(2/4) . . . . . . take the square root

x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.

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Their distances from the flagpole is the same.

From the question, we understand that:

Carl and Rose live on a straight line
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The above highlights mean that:

The relationship between Carl and Rose' balconies and the flagpole is an isosceles triangle.

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48 cookies; 25% decrease how do I do it?????

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3 years ago

Find a value for y for which the expression (1-y)(3-y)(6-y) has each given value

erik [133]

$\\ \tt\Rrightarrow (1-y)(3-y)(6-y)=-70$

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2 years ago

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Suppose that r varies directly with s and inversely with t, and r = 2 when s = 3 and t = 12. What is the value of r when s = 5 a

Dmitry_Shevchenko [17]

The statement suppose that r varies directly with s and inversely with t is best represented as:

r α s/t

To make it into equality, we insert a proportionality constant, k:

r = ks/t

Using the initial conditions, we solve for k.

r = ks/t
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