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1 year ago

Converse of Pythagorean theorem, Find the missing side length of each triangle round to the nearest 10th if necessary.

Mathematics

1 answer:

torisob [31]1 year ago

8 0

The formula for the Pythagorean theorem is,

$\text{Hypotenuse}^2=Opposite^2+Adjacent^2$

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I really need some help on this question please!

madam [21]

Answer:

2.5

Step-by-step explanation:

I used the process of elimination :

For A and B, you can't have a negative number since it is a positive correlation

For C, 1 as a slope isn't reasonable

3 0

4 years ago

Consider F and C below. F(x, y, z) = y2 sin(z) i + 2xy sin(z) j + xy2 cos(z) k C: r(t) = t2 i + sin(t) j + t k, 0 ≤ t ≤ π (a) Fi

Liono4ka [1.6K]

Answer:

a) $f (x,y,z)= xy^2\sin(z)$

b) $\int_C F \cdot dr =0$

Step-by-step explanation:

Recall that given a function f(x,y,z) then $\nabla f = (\frac{\partial f}{\partial x},\frac{\partial f}{\partial y},\frac{\partial f}{\partial z})$ . To find f, we will assume it exists and then we will find its form by integration.

First assume that F = $\nabla f$ . This implies that

$\frac{\partial f}{\partial x} = y^2\sin(z)$ if we integrate with respect to x we get that

$f(x,y,z) = xy^2\sin(z) + g(y,z)$ for some function g(y,z). If we take the derivative of this equation with respect to y, we get

$\frac{\partial f}{\partial y} = 2xy\sin(z) + \frac{\partial g}{\partial y}$

This must be equal to the second component of F. Then

$2xy\sin(z) + \frac{\partial g}{\partial y}=2xy\sin(z)$

This implies that $\frac{\partial g}{\partial y}=0$ , which means that g depends on z only. So $f(x,y,z) = xy^2\sin(z) + g(z)$

Taking the derivative with respect to z and making it equal to the third component of F, we get

$xy^2\cos(z)+\frac{dg}{dz} = xy^2\cos(z)$

which implies that $\frac{dg}{dz}=0$ which means that g(z) = K, where K is a constant. So

$f (x,y,z)= xy^2\sin(z)$

b) To evaluate $\int_C F \cdot dr$ we can evaluate it by using f. We can calculate the value of f at the initial and final point of C and the subtract them as follows.

$\int_C F \cdot dr = f(r(\pi))-f(r(0))$

Recall that $r(\pi) = (\pi^2, 0, \pi)$ so $f(r(\pi)) = \pi^2\cdot 0 \cdot \sin(\pi) = 0$

Also $r(0) = (0, 0, 0)$ so $f(r(0)) = 0^2\cdot 0 \cdot \sin(0) = 0$

So $\int_C F \cdot dr =0$

5 0

3 years ago

What is the distance between points f (2,9) and G (2 , 6)

solmaris [256]

use this formula

Step-by-step explanation:

Use the distance formula.

d = √[(x2 - x1)2 + (y2 - y1)2]

You have all of the coordinates. Plug in the numbers and evaluate.

6 0

4 years ago

Need Help again ASAP!<br><br> And also, do you know da wey?

Free_Kalibri [48]

The answer is A and B
Because if you look closely it says trucks to SUV's
It says truck first so the trucks would be 7 and the SUV's would be 2

4 0

3 years ago

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The figure is the net for a rectangular prism.

svetoff [14.1K]

$sa = 2(lw + lh + wh)$

$sa = 2(8 \times 6 + 8 \times 16 + 6 \times 16)$

$sa = {544 \: cm}^{2}$

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I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey

4 0

3 years ago

Read 2 more answers