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satela [25.4K]
3 years ago
14

6 sin _ _ 3 csc _ = 0

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0
6 sin θ - 3 csc θ = 0
6 sin θ = 3 csc θ = 3/sin θ
6 sin^2 θ = 3
sin^2 θ = 3/6 = 1/2
sin θ = sqrt(1/2)
θ = arcsin(sqrt(1/2)) = 45 degrees.
θ = 45°
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For the function g(x)=3x^2-3x-9 what is the value of g(4)
Annette [7]
G(4) = 3x^2 - 3x - 9

Since the g(4) would be g(x) if you didn't know the number. So, substitute all of the x's for 4.

g(4) = 3(4)^2 - 3(4) - 9

g(4) = 3(16) - 12 - 9

g(4) = 48 - 3

g(4) = 45

I hope this helps you!
3 0
3 years ago
A math teacher instructed students to graph the following equations on a coordinate plane. y=2.5x+2 and y=2x+4. If graphed corre
algol [13]

Both the graphical lines will intersect at (4,12)

Step-by-step explanation:

Step 1; We must find the point in the graph where the lines of y=2.5x+2 and y=2x+4 intersect. To find out the intersecting point we must substitute values of x in both equations and see in which co-ordinate they are the same.

Step 2; We plot various values of x on the line governed by the equation y=2.5x+2

For a value of x=1 , y=2.5(1) + 2 = 4.5

For a value of x=2 , y=2.5(2) + 2 = 7

For a value of x= 3, y=2.5(3) + 2 = 9.5

For a value of x= 4, y=2.5(4) + 2 = 12

For a value of x= 5, y=2.5(5) + 2 = 14.5

Step 3; Now we also plot the values of x on the other line governed by y=2x+4

For a value of x= 1, y=2(1) + 4 = 6

For a value of x= 2, y=2(2) + 4 = 8

For a value of x= 3, y=2(3) + 4 = 10

For a value of x= 4, y=2(4) + 4 = 12

For a value of x= 5, y=2(5) + 4 = 14

Step 4; For both lines we must see if any of the values repeat at a particular point. In this case at the point (4,12) repeats for both so that becomes the point of intersection.

8 0
3 years ago
What is the value of x?
RSB [31]

An exterior angle equals the sum of the remote interior angles .

So


x + 60 = 95

x = 95 - 60

x = 35


Answer

B. 35

7 0
3 years ago
Read 2 more answers
What is the factored form of -7y-y^2=0
Sveta_85 [38]
Factor out like terms
-y(7+y)=0
4 0
3 years ago
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times th
Talja [164]

Answer:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program. ​

Step-by-step explanation:

An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075

Considering the GMAT score x, and the GPA y, this situation is modeled by the following inequality:

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Robbin's GMAT score was 800.

This means that x = 800, and thus:

x + 100y \geq 1075

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What must her grade point average be in order to be unconditionally accepted into the​ program?

Solving the above inequality for y:

100y \geq 275

y \geq \frac{275}{100}

y \geq 2.75

Thus:

​Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program. ​

7 0
2 years ago
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