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Sindrei [870]
3 years ago
7

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places w

here appropriate. If there is no solution, enter NO SOLUTION.) 2 sin(2θ) = 1 (a) Find all solutions of the equation. θ = (b) Find the solutions in the interval [0, 2π). θ =
Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

a) θ = 15° b) θ = 15°, 165°

Step-by-step explanation:

a) Given the equation 2 sin(2θ) = 1

sin(2θ) = 1/2

(2θ) = arcsin(1/2)

2θ = 30°

θ = 15°

b) To find all the solutions between 0 and 2π, we will make reference to the quadrant.

Sinθ is positive in the first and second quadrant.

In the first quadrant, θ = 15°

In the second quadrant, θ = 180°-15°

= 165°

The solutions between 0 and 2π are 15° and 165°

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Studentka2010 [4]
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3 years ago
Why must integration be used to find the work required to pump water out of a​ tank?
Anton [14]

Answer:

A. Different volumes of water are moved different distances.

Step-by-step explanation:

Integration is used to find work required to pump water out of a tank because different volumes of water are moved different distances and to sum it all we the tool required is integration. Moreover, work done is a path function or an inexact differential. It does depend upon the path followed by the process.

hence the correct answer is A.

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3 years ago
What is the number between 3400 and 4400
xxTIMURxx [149]
First find how many numbers are between the two by subtracting
4400 - 3400 = 1000
now to find half way between the two divide 1000 by 2 
1000/2 = 500
so the number between the two is 500 +3400 and 4400-500
which is 3900
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3 years ago
Read 2 more answers
54.628 rouned to rhe nearst tenth
likoan [24]
Round down to 54.6 because it is 5 or less.

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3 years ago
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IN NEED OF ANSWER :( A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the th
vichka [17]

Answer:

a = 33ft

b= 66ft

c = 48 ft

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • a (shortest side)= a
  • b (second side)=2a (twice the length of the shortest side)
  • c (third side)= a+15 ( 15 feet more than the length of the shortest side)

Since:  

Perimeter = a+b+c

Replacing with the values given:

147 = a+2a+(a+15)

147 = a+2a+a+15

147-15 = a+2a+a

132 = 4a

132/4 = a

33 ft= a  

Substituting a =33 in the other expressions:

b=2a = 2(33) = 66 ft

c= a+15 = 33+15 = 48 ft

3 0
3 years ago
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