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2 years ago

I WILL GIVE BRAINLIEST IF U CAN HELP ME WITH ANY OF MY QUESTIONS!!!

Mathematics

1 answer:

faltersainse [42]2 years ago

3 0

Answer:

12.5

Step-by-step explanation:

square root of 10^2 - 8^2 = 6 gives us missing side

sin^-1(8/10) = 53.13 gives us half of the angle

90-53.13 = 36.869 gives us the angle of the triangle on the right

tan(36.869) x 6 = 4.5

4.5 + 8 = 12.5

Hope that helps,

Good Luck! x

You might be interested in

Find dy/dx by implicit differentiation for ysin(y) = xcos(x)

tatyana61 [14]

Answer:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

Step-by-step explanation:

So we have:

$y\sin(y)=x\cos(x)$

And we want to find dy/dx.

So, let's take the derivative of both sides with respect to x:

$\frac{d}{dx}[y\sin(y)]=\frac{d}{dx}[x\cos(x)]$

Let's do each side individually.

Left Side:

We have:

$\frac{d}{dx}[y\sin(y)]$

We can use the product rule:

$(uv)'=u'v+uv'$

So, our derivative is:

$=\frac{d}{dx}[y]\sin(y)+y\frac{d}{dx}[\sin(y)]$

We must implicitly differentiate for y. This gives us:

$=\frac{dy}{dx}\sin(y)+y\frac{d}{dx}[\sin(y)]$

For the sin(y), we need to use the chain rule:

$u(v(x))'=u'(v(x))\cdot v'(x)$

Our u(x) is sin(x) and our v(x) is y. So, u'(x) is cos(x) and v'(x) is dy/dx.

So, our derivative is:

$=\frac{dy}{dx}\sin(y)+y(\cos(y)\cdot\frac{dy}{dx}})$

Simplify:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}$

And we are done for the right.

Right Side:

We have:

$\frac{d}{dx}[x\cos(x)]$

This will be significantly easier since it's just x like normal.

Again, let's use the product rule:

$=\frac{d}{dx}[x]\cos(x)+x\frac{d}{dx}[\cos(x)]$

Differentiate:

$=\cos(x)-x\sin(x)$

So, our entire equation is:

$=\frac{dy}{dx}\sin(y)+y\cos(y)\cdot\frac{dy}{dx}}=\cos(x)-x\sin(x)$

To find our derivative, we need to solve for dy/dx. So, let's factor out a dy/dx from the left. This yields:

$\frac{dy}{dx}(\sin(y)+y\cos(y))=\cos(x)-x\sin(x)$

Finally, divide everything by the expression inside the parentheses to obtain our derivative:

$\frac{dy}{dx}=\frac{\cos(x)-x\sin(x)}{\sin(y)+y\cos(y)}$

And we're done!

5 0

2 years ago

Find the equation of the line perpendicular to y=3/2x-9 and passes through the point (6,2)

lys-0071 [83]

Answer:

y=-2/3x-2

Step-by-step explanation:

slope= -2/3

y=-2/3x+b

enter the given points

2=4+b

b=-2

y=-2/3x-2

6 0

2 years ago

Will give brainliest.

In-s [12.5K]

Answer:

y = 3x -8

Step-by-step explanation:

I find it convenient to start with a version of the point-slope form of the equation for a line. That is, for point (h, k) and slope m, ...

y = m(x -h) +k

For your m=3 and (h, k) = (3, 1), this equation becomes ...

y = 3(x -3) +1

Eliminating parentheses puts this in the form you desire:

y = 3x -8

6 0

2 years ago

The sales tax in one towns 8%. So, the total cost of an item can be written as c + 0.08c. What is the total cost of an item that

Artemon [7]

Short answer:
TotalCost = 12.96

Long answer:

It gives you the equation of

total cost = C + 0.08C

You just need to plug-in the $12 to the equation.
In other words, the equation is:
TotalCost = 12 + 0.08*12
TotalCost = 12 + 0.96
TotalCost = 12.96

5 0

2 years ago

What is the value of ( 0.4) ^3

cestrela7 [59]

Answer:

0.064

Step-by-step explanation:

( 0.4) ^3

Solution :

( 0.4) ^3

= 0.4 x 0.4 x 0.4

= 0.064

8 0

2 years ago