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3 years ago

M find b a) not triangle b)11in c)14in d)13in

Mathematics

1 answer:

Alexxx [7]3 years ago

4 0

Answer:

kantut

Step-by-step explanation:

kantut kalimot hahaha you have a great day to be out of town for a few days now and then I can go to be a great day for a few days now and then I can go to be a great day for you want to be a great day to lapu lapu to get a

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let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)

statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

$\sin (\theta)=\frac{3}{5}$

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

$x^2+3^2=5^2$

Solving for x, we have

$\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}$

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

$\tan (y)=\frac{12}{5}$

Describes the following triangle

Using the Pythagorean Theorem again, we have

$5^2+12^2=h^2$

Solving for h, we have

$\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}$

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

$\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}$

To calculate the sine and cosine of the sum

$\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}$

We can use the following identities

$\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}$

Using those identities in our problem, we're going to have

$\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}$

4 0

10 months ago

What is the slope of the line that passes through (-3,-7) and (1,9)

Rus_ich [418]

To find slope, use the formula:

(y2-y1)/x2-x1)

So here is what it will look like:

(9--7)/(1--3)

Since you are subtracting a negative, then it turns unto a positive so you are adding the numbers together.

(9+7)/1+3)

16/4

The slope of the line is 4/1 or 4. Which means that you will go up or "rise" 4 and go to the left or "run" 1.

Hope this helps!

4 0

3 years ago

Solve for a side in right triangles (soh cah toa)

nevsk [136]

Cos(35) = x/6
or 6 * cos(35) = x

3 0

3 years ago

Select the correct answer.<br> Solve

Molodets [167]

Answer:

B 1 1/7

Step-by-step explanation:

- 9 2/7 - ( -10 3/7)

We know subtracting a negative is like adding

- 9 2/7 +10 3/7

10 3/7 - 9 2/7

Putting this vertical

10 3/7

-9 2/7

-----------------

1 1/7

5 0

2 years ago

phil smith is a car salesman. last week. his total sales amounted to $27,650.00, and he received $1,382.50 in commission. What i

Korvikt [17]

20$ a car (ssssppppaaacccceee)

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2 years ago