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2 years ago

14

It says “find x (round to the nearest hundredth)” I’m so lost and this is geometry

1 answer:

quester [9]2 years ago

7 0

Answer:

$the \: third \: angle \: of \: triangle \: is \: 70 \\sum \: of \: triangle \: angles = 180 \: \\ 70 + 5x + 6x - 11 = 180 \\ 11x + 59 = 180 \\ 11x = 180 - 59 = 121 \\ x = 121 \div 11 = 11$

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A model house has a scale of

Lapatulllka [165]

Answer: Assuming that you mean 1in:2ft the model house would be 13 inches wide.

Step-by-step explanation: well 1 is half of 2 right? So if you want to get the numbers easier to use then just divide that 26 by 2 and then you get the scale 1in:1ft. From there it is easy, 13 feet of the real house= 13 inches in the model house

5 0

1 year ago

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

Diane has a hospital appointment. when she arrives at the hospital, the car park is nearly full. there are a total of 534 car pa

Oksanka [162]

In total there are 534 spaces, but 476 are occupied.
Occupied spots cannot be parked in.
The answer is 534 - 476, which equals 58 available spots.

4 0

3 years ago

, list the first five terms of each sequence, and identify them as arithmetic or geometric.

Natali [406]

Answer:

Step-by-step explanation:

A_{n+1}=14*A_{n}

A_{1}=8

A_{1+1}=14×8=112

A_{2}=112

A_{3}=14*A_{2}=14×112=1568

A_{4}=14*A_{3}=14×1568=21952

A_{5}=14*A_{4}=14×21952=307328

7 0

3 years ago

30 g equals how many dg

Yuri [45]

The answer is 300 decigrams

4 0

2 years ago