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love history [14]
3 years ago
10

Solve Sin(2theta)=1/2

Mathematics
1 answer:
NikAS [45]3 years ago
4 0
2θ=sin^-1(0.5)
Degrees:
2θ=30,150,390,510...
θ=15,75,195,255...

Radians:
2θ=π/6,5π/6,13π/6,17π/6...
θ=π/12,5π/12,13π/12,17π/12...
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The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2
Vera_Pavlovna [14]
<h2>Hello!</h2>

The answer is:

The x-coordinate of the solution to the system of equations is:

x=-2

<h2>Why?</h2>

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.

5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2

Now, substituting "y" into the first equation, to isolate "x" we have:

y=x+4\\\\2=x+4\\\\x=2-4=-2

Hence we have that the x-coordinate of the solution to the system of equations is

x=-2

Have a nice day!

3 0
3 years ago
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A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Archy [21]

Answer:

The area of the net is not π • 9^2

:P no explanation for u

7 0
3 years ago
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What the answer (8x + 7) ^2
sveticcg [70]

Answer:

64x^2+112x+49

Step-by-step explanation:

6 0
4 years ago
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The value of a boat is $23,400. it loses 8% of its value every year. find the approximate monthly percent decrease in value. rou
bonufazy [111]

Given: - 
 Value of boat = $23,400
 Loss of value by boat per year = 8% 
 To find: -  Monthly percent decrease in value of boat.  
Solution: - Decrease of value per year = 8% of $23,400 = $1,872. Monthly decrease in value = $1,872/12 = $156. Monthly percentage decrease = ($156/$23,400) * 100 = 0.6667 or 0.67 (rounded to nearest hundredth)
8 0
3 years ago
What is the graph of the inequality 3x+2y&gt;-5
Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the x-intercept and y-intercept for given equation.

For  x-intercept , substitute y=0

Considering inequality sign as equality and simplifying,

3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3} , point is (-\frac{5}{3} ,0)

Similarly,

For y-intercept , substitute x=0

We get,

3x+2y=-5\\0+2y=-5\\y=-5/2 , point is (0,-\frac{5}{2})

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

4 0
3 years ago
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