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2 years ago

Find the exact value of cos A in simplest radical form.

Mathematics

1 answer:

sergeinik [125]2 years ago

3 0

S O/H C A/H T O/A

You're finding cos - so take the adjacent side and hypotenuse which is 10 over 12

Then take 10 divided by 12 cos

A = 0.1

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an architect created a scale model of a building. the length of the model is 15 inches. the scale factor used to create the mode

navik [9.2K]

The length of model is ......15 inch
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2 years ago

The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

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Answer:

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Step-by-step explanation:

not all tables have 4 legs, not all printed words are in books, and not all months have 30 days.

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is larges

Karolina [17]

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

Step-by-step explanation:

numbers whose sum is 12

Sum =12 Product Difference Product- Difference

11 +1 11 10 1

10 +2 20 8 12

9 +3 27 6 21

8 +4 32 4 28

7 +5 35 2 33

6+6 36 0 36

The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

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2 years ago

Find the exact value of cos A in simplest radical form. ​

Find the exact value of cos A in simplest radical form.