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creativ13 [48]
2 years ago
11

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

es where appropriate).
4 sin(2θ) − 2 sin(θ) = 0
Mathematics
1 answer:
storchak [24]2 years ago
4 0

Answer:

θ = πk, 1.318+2πk, 4.965+2πk

Step-by-step explanation:

4sin(2θ) − 2sin(θ) = 0

8sin(θ)cos(θ) - 2sin(θ) = 0

2sin(θ)[4cos(θ)-1] = 0

2sin(θ) = 0

sin(θ) = 0

θ = πk

4cos(θ)-1 = 0

4cos(θ) = 1

cos(θ) = 1/4

θ ≈ 1.318+2πk, 4.965+2πk

Therefore, θ = πk, 1.318+2πk, 4.965+2πk

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Solve the inequality for u<br>-5u+27 [less than or equal to] 2​
baherus [9]

Answer:

5≤u

Step-by-step explanation:

Put the words and numbers into an equation:

-5u+27≤2

Put all like terms on one side:

27-2≤5u ---> Do you see what I did there? Now you don't have to work with negatives. :)

Simplify:

25≤5u

Solve:

5≤u

:)

6 0
3 years ago
Please help me due in an hour
Leokris [45]

Answer:

Ok so it would be square root 1

Step-by-step explanation:

6 0
3 years ago
True or False: A relation passing the horizontal line test is a function.
rosijanka [135]

Answer:

True.

Step-by-step explanation:

Remember that the horizontal line test checks if a function is one-to-one. If a horizontal line passes through a graph more than once, the function has more than one x-value for at least one y-value.

7 0
4 years ago
A hollow sphere sits snugly in a foam cube so that the sphere touches each side of the cube. Find the volume of the foam.
ExtremeBDS [4]

Answer:

                             π

V-foam = 4r³( 2 - ----- )

                             3

Step-by-step explanation:

Let the radius of the sphere be r.  Then the volume of the sphere is

V = (4/3)(π)(r³).  

Next, recognize that the side length of the cube is 2r, and that the volume of the cube is thus

V = (2r)³, or 8r³.

Then the volume of the foam is equal to the volume of the cube less the volume of the sphere:

V-foam = 8r³ - (4/3)(π)(r³).  This could be factored into

                             π

V-foam = 4r³( 2 - ----- )

                             3

5 0
3 years ago
HELP Please<br>I really need the answer​
SpyIntel [72]

Step-by-step explanation:

a full circle has 360°.

so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.

labour = 360 - 136 - 34 - 54 - 14 = 122°

the fraction 122/360 represents the 183 votes for labour.

122/360 = 183

the fraction 1/1 = 1 then represents the total number of votes in the whole system.

61/180 = 183

1/180 = 3

1 = 3×180 = 540

540 pupils voted altogether.

3 0
2 years ago
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