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xxMikexx [17]
4 years ago
9

Find the measure of the reference angle for each given angle. Part 2

Mathematics
2 answers:
Black_prince [1.1K]4 years ago
4 0

Answer:

13. 20°

14. 15°

15. 50°

Step-by-step explanation:

Please see the attached pictures for full solution.

For negative angles, the arrow turns clockwise.

m_a_m_a [10]4 years ago
4 0

Answer:

  13. 20°

  14. 15°

  15. 50°

Step-by-step explanation:

From a mathematical point of view, the reference angle is the smaller of α and (180°-α), where α = θ mod 180°.

That is, add or subtract multiples of 180° until the result is in the range 0–180°. Then choose the smaller of the angle and its supplement.

It is convenient to let a spreadsheet calculate these when you have a bunch of them.

__

From a geometrical point of view, the reference angle is the positive angle between the terminal ray and the nearest x-axis.

__

For the angles here, the reference angles (in degrees) are shown in the attachment.

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Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 16 and
meriva
Parameterize the surface (call it \mathcal S) by

\mathbf s(u,v)=\langle u\cos v,u\sin v,u^2\sin^2v-u^2\cos^2v\rangle=\langle u\cos v,u\sin v,-u^2\cos2v\rangle

with 4\le u\le5 and 0\le v\le2\pi, which yields

\mathrm dS=\|\mathbf s_u\times\mathbf s_v\|\,\mathrm du\,\mathrm dv=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

Then the area of \mathcal S is given by the surface integral

\displaystyle\iint_{\mathcal S}\mathrm dS=\int_{v=0}^{v=2\pi}\int_{u=4}^{u=5}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv=\dfrac{(101^{3/2}-65^{3/2})\pi}6
8 0
3 years ago
My g I need help with this one question on my Test review and spammers keep answering my questions pls someone help
kirill115 [55]

Answer:

2nd or 3rd one

Step-by-step explanation:

I say that because the equation is over -3 for both.

Hope this helps you! :)

6 0
3 years ago
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A cylinder has a base with a radius of 5 cm and a height of 15 cm. What is the volume of the cylinder? (Use π = 3.14.)
tatyana61 [14]
Im all most postive it is b 471cm but im not sure i hope this helps 
8 0
3 years ago
PLEASE HELP 20 POINTS + BRAILYEST!!!
zubka84 [21]

Answer:

  4 in

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.

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  5² = 3² + ?²

  25 = 9 + ?² . . . . . simplify

  16 = ?² . . . . . . . . . subtract 9

  4 = ? . . . . . . . . . . . take the square root

The missing length is 4 inches.

4 0
3 years ago
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Brenda is deciding between two landscaping companies for her place of business. Company A charges $25 per hour and a $300 equipm
Thepotemich [5.8K]

Answer:

1/6 hours

Step-by-step explanation:

Given data

Company A charges

$25 per hour and a $300 equipment fee

let the number of hours be t

and the total charges be A

A=25+300t----------------1

Company B charges $50 per hour and a $150 equipment fee.

let the number of hours be t

and the total charges be B

y=50+150t----------------2

Equate 1 and 2 we have

25+300t= 50+150t

300t-150t= 50-25

150t= 25

divide both sides by 150

t= 25/150

t=1/6 hours

5 0
3 years ago
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