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4 years ago

At what angle θ1 to the normal would the first dark ring be observed?

Mathematics

1 answer:

sukhopar [10]4 years ago

4 0

(180/pi)* asin(1.22*0.0006328/D_1)= 0.385 degree

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If x + y = 5 and at the same time 2x - y = 7. find the value of x

Fed [463]

Answer:

x = 2y − 2

Step-by-step explanation:

x + y + 5 = 2x - y + 7

−x + y + 5 = −y + 7

−x + 5 = −2y +7

−x = −2y + 2

x = 2y − 2

5 0

3 years ago

True-False: Please select true or false and click "submit."

harina [27]

A true

because 53•(41•11)=23,903 and (53•41)•11=23,903

Hope this helped

4 0

3 years ago

Read 2 more answers

F⃗ (x,y)=−yi⃗ +xj⃗ f→(x,y)=−yi→+xj→ and cc is the line segment from point p=(5,0)p=(5,0) to q=(0,2)q=(0,2). (a) find a vector pa

DerKrebs [107]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(5\,\vec\imath)+t(2\,\vec\jmath)=(5-5t)\,\vec\imath+2t\,\vec\jmath$

with $0\le t\le1$ .

b/c. The line integral of $\vec F(x,y)=-y\,\vec\imath+x\,\vec\jmath$ over $C$ is

$\displaystyle\int_C\vec F(x,y)\cdot\mathrm d\vec r=\int_0^1\vec F(x(t),y(t))\cdot\frac{\mathrm d\vec r(t)}{\mathrm dt}\,\mathrm dt$

$=\displaystyle\int_0^1(-2t\,\vec\imath+(5-5t)\,\vec\jmath)\cdot(-5\,\vec\imath+2\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^1(10t+(10-10t))\,\mathrm dt$

$=\displaystyle10\int_0^1\mathrm dt=\boxed{10}$

d. Notice that we can write the line integral as

$\displaystyle\int_C\vecF\cdot\mathrm d\vec r=\int_C(-y\,\mathrm dx+x\,\mathrm dy)$

By Green's theorem, the line integral is equivalent to

$\displaystyle\iint_D\left(\frac{\partial x}{\partial x}-\frac{\partial(-y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=2\iint_D\mathrm dx\,\mathrm dy$

where $D$ is the triangle bounded by $C$ , and this integral is simply twice the area of $D$ . $D$ is a right triangle with legs 2 and 5, so its area is 5 and the integral's value is 10.

4 0

3 years ago

Two sides of a parallelogram are 500 feet and 790 feet. The measure of the angle

Nat2105 [25]

Answer:

215117 ft²

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

h/500 = sin 33°
h = 500 sin 33°
h = 272.3 ft

The area is:

A = bh
A = 790*272.3 = 215117 ft²

3 0

3 years ago

Read 2 more answers

9 x 7 = ( x 7) – (1 x 7) = 70- =

WARRIOR [948]

Answer:

Step-by-step explanation:

9x7=(10x7)-1x(7)

=70-7

=63

8 0

3 years ago