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3 years ago

Therefore, __ and _ because they are supplements of the same angle

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Complementary and supplementary.

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What is the value of |−25|?

Debora [2.8K]

Answer:

Step-by-step explanation:

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2 years ago

Show me step by step multiplication on how to answer : 1 2/5 x 1/4

Phantasy [73]

Answer:

Step-by-step explanation:

What i would do is turn the first one into an improper fraction

7/5 x 1/4

it's easier to multiply this way

see if you can simplify any of the terms first

7 1

5 4

none of the numbers can be broken down further so we just multiply straight across

7 x 1 is 7

5 times 4 is 20

so the answer would be 7/20

4 0

3 years ago

Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

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3 years ago

Part A.) A garden hose supplies 36 gallons of water in 3 minutes. Use a table of equivalent ratios to show the garden house's wa

saw5 [17]

Answer: It would be 360 gallons of water per 10 mins because

Step-by-step explanation:

You multiply 36×10 and you get 360 gallons

7 0

3 years ago

Find x. Please help with This problem!!!

Archy [21]

Step-by-step explanation:

7+2x-2 = 4x -3

5= 2x -3

2x = 8

x = 4

3 0

2 years ago

Therefore, __________ and _________ because they are supplements of the same angle

Therefore, __ and _ because they are supplements of the same angle