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2 years ago

Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.

Mathematics

1 answer:

Blizzard [7]2 years ago

4 0

Answer:

12/13

Step-by-step explanation:

We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.

The adjacent side to angle C is BC

The hypotenuse is AC because it is opposite to the right angle

So...

cosine is (BC)/(AC)

36/39

12/13

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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc

DerKrebs [107]

we are given

differential equation as

$y'''-9y''+20y'=0$

we are given

$y=e^{rx}$

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

$y'=re^{rx}$

Second derivative is

$y''=r*re^{rx}$

$y''=r^2e^{rx}$

Third derivative is

$y'''=r^2*re^{rx}$

$y'''=r^3e^{rx}$

now, we can plug these values into differential equation

and we get

$r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0$

now, we can factor out common terms

$e^{rx}(r^3 -9r^2 +20r)=0$

we can move that term on right side

$(r^3 -9r^2 +20r)=0$

now, we can factor out

$r(r^2 -9r +20)=0$

$r(r-5)(r-4)=0$

now, we can set them equal

$r=0$

$r-5=0$

$r=5$

$r-4=0$

$r=4$

so, we will get

$r=0,4,5$ ...............Answer

4 0

3 years ago

What fraction is greater than 2/3

lutik1710 [3]

2/3 is basically 0.6666666667 which is the same as 66% so any percentage bigger than 66% such as 75% (0.75) which is 3/4 (as a fraction) is bigger than 2/3

8 0

3 years ago

X=2y-1 <br> 3x+4y=11<br> Need help solving

tigry1 [53]

Answer: (-1/5, 2/5)

Step-by-step explanation:

See the photo for explanation and work.

6 0

3 years ago

Can someone help me out with this?

Anton [14]

Answer:

.5? or 1/2

Step-by-step explanation:

i think its half, because the Y factors are going down by half.

i hope that kinda made sense.

5 0

2 years ago

Factor completely 20x3y + 30x2y2.

Alexxandr [17]

<span>10x2y(2x + 3y)

Each term has 10 in it. Plus each term has at least 2 x's and 1y. The parenthesis are what's left over. </span>

8 0

3 years ago