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3 years ago

Find the sum. + 1.5 + 3.9 A) 4.14 B) 41.4 C) 5.4 D) 0.54

Mathematics

2 answers:

Natalija [7]3 years ago

8 0

Answer:

5.4

Step-by-step explanation:

aliya0001 [1]3 years ago

7 0

C 5.4 hope this helped :)

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circle centered at the origin has a radius of 5 units. The terminal side of an angle, θ, intercepts the circle in Quadrant IV at

astraxan [27]

Answer:

Step-by-step explanation:

x²+y² = 5²

3²+y² = 25

y² = 16

y = ±√16 = ±4

Since the terminal side is in quadrant IV, y = -4

sinθ = -4/5

5 0

3 years ago

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + 5zj + 7yk

REY [17]

By Stokes' theorem,

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

where $S$ is the surface with $C$ as its boundary. The curl is

$\nabla\times\vec F(x,y,z)=2\,\vec\imath-x\,\vec k$

Parameterize $S$ by

$\vec\sigma(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(8-u\cos v)\,\vec k$

with $0\le u\le9$ and $0\le v\le2\pi$ . Then take the normal vector to $S$ to be

$\vec\sigma_u\times\vec\sigma_v=u\,\vec\imath+u\,\vec k$

Then the line integral is equal to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9(2\,\vec\imath-u\cos v\,\vec k)\cdot(u\,\vec\imath+u\,\vec k)\,\mathrm du\,\mathrm dv$

$\displaystyle=\int_0^{2\pi}\int_0^9(2u-u^2\cos v)\,\mathrm du\,\mathrm dv=\boxed{162\pi}$

7 0

3 years ago

Which of these expressions are equivalent to p/3?

aleksandrvk [35]

<h3>Answer: Choice B. 1/3p</h3>

This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.

Taking 1/3 of a number is the same as dividing by 3.

Example:

27/3 = 9

27*(1/3) = 9

5 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP ME FIND THE DISTANCE..

kirill115 [55]

The angle of elevation from point C to point A is $32^{\circ}$

<em><u>Solution:</u></em>

Given that we have to find the angle of elevation from point C to Point A

Given in figure that, angle A = $58^{\circ}$

Given is a right angled triangle ABC where angle B = $90^{\circ}$

We have to find angle C

The angle sum property of a triangle states that the angles of a triangle always add up to 180°

Therefore, in given triangle ABC

angle A + angle B + angle C = 180

$58^{\circ} + 90^{\circ} + C = 180^{\circ}$

$148^{\circ} + C = 180^{\circ}\\\\C = 180^{\circ} - 148^{\circ}\\\\C = 32^{\circ}$

Therefore angle C = $32^{\circ}$

5 0

3 years ago

Which of the following BEST describes how to use the addition property of equality to isolate the variable y below? 2=Y-2/3

damaskus [11]

To solve this equation isolate the variable and add 2/3 to both sides

4 0

3 years ago