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3 years ago

How do you use trigonometric ratios to solve for a missing side or angle of a right triangle?

Mathematics

2 answers:

Kisachek [45]3 years ago

3 0

Answer:

the sine of the angle of one corner equals the opposite side divided by the hypotenuse.

the cosine of the angle of one corner equals the adjacent side divided by the hypotenuse.

the tangent of the angle of one corner equals the opposite side divided by the adjacent side.

yKpoI14uk [10]3 years ago

3 0

Answer:

what he said is right! didnt let me comment so I just wanted to let yall know thats right!

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Please help me. I can’t figure out how to put this in the calculator

spayn [35]

Remove the decimal and put the number over 1000 or the next highest mark(10,100,1000,10000,etc depending on how many figures are in the number)

226/1000

Then divide the two by the Greatest Common Factor. In this case, it will be 2.

113/500

You cannot divide this any further because 113 is a Prime number, and 500 is not divisible by 113.

7 0

4 years ago

Identify the standard form of the equation by completing the square.

OLEGan [10]

Answer:

$\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Step-by-step explanation:

<u>Given equation</u>:

$4x^2-9y^2-8x+36y-68=0$

This is an equation for a horizontal hyperbola.

<u>To complete the square for a hyperbola</u>

Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

$\implies 4x^2-8x-9y^2+36y=68$

Factor out the coefficient of the x² term and the y² term.

$\implies 4(x^2-2x)-9(y^2-4y)=68$

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:

$\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2$

$\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36$

Factor the two perfect trinomials on the left side:

$\implies 4(x-1)^2-9(y-2)^2=36$

Divide both sides by the number of the right side so the right side equals 1:

$\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}$

Simplify:

$\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1$

Therefore, this is the standard equation for a horizontal hyperbola with:

center = (1, 2)
vertices = (-2, 2) and (4, 2)
co-vertices = (1, 0) and (1, 4)
$\textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}$
$\textsf{Foci}: \quad (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)$

4 0

2 years ago

Meghan says the difference between the least amount of time it takes a student to say the alphabet and the greatest amount of th

kupik [55]

Answer:

67 eghan says the difference between the least amount of time it takes a student to say the alphabet and the greatest amount

Step-by-step explanation:

4 0

3 years ago

To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate

leonid [27]

Answer:

The digit goes to the right of the decimal point

Step-by-step explanation:

If you had $\frac{1}{10}$ , you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.

7 0

3 years ago

Calculations that allow a researcher to draw conclusions about how meaningful a result is are collectively called ______________

tatiyna

Answer: Inferential

Step-by-step explanation:

Inferential statistics, has to do with taking data from the samples that the researcher has and then making generalizations about the population through the sample gotten.

Through Inferential statistics, one can draw conclusion about a particular phenomenon. Therefore, the answer to the above question is Inferential statistics

5 0

3 years ago