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3 years ago

What is the solution to the trigonometric inequality 2-3cscx) > 8 over the interval 0 5x52x radians

Mathematics

1 answer:

Sholpan [36]3 years ago

7 0

Answer:

The solution to the inequality is

x > 2π

Step-by-step explanation:

Given the inequality :

2 - 3cscx > 8

We want to find the solution to this.

2 - 3cscx > 8

-3cscx > 8 - 2

-3cscx > 6

cscx < -2

But cscx = 1/cosx

1/cosx < -2

cosx > -1/2

x > arccos(-1/2)

x > 2π

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct

Nana76 [90]

Answer:

$Fx=\frac{5\pm\sqrt{25+24} }{6}$

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

$ax^2+bx+c$

Where:

$a\neq 0$

The roots of this equation can be found using the quadratic formula, which is given by:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

So:

$y(x)=3x^2-5x-2=0$

As you can see, in this case:

$a=3\\b=-5\\c=-2$

Using the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}$

Therefore, the answer is:

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3 years ago

A plane took off at a 15° angle to the ground and flew in Sydney's direction. She is standing at a point 25 miles from the

svlad2 [7]

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3 years ago

Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children an

Zina [86]

Answer:Number of children = 2 and number of adults = 9 attended the play

Step-by-step explanation:

Step 1

Let the number of children be represented as x

and the number of adults in the group be represented as as y

such that the total number of the group that went to the play

= x+y=11--- equation 1

And the total cost paid for the play will be expressed as

15x+ 22y= 228------ equation 2

Step 2-- Solving

x+y=11--- equation 1

15x+ 22y= 228------ equation 2

B y elimination method, multiply equation 1 by 15 to give equation 3 and then subtract from equation 2

15x+ 22y= 228------ equation 2

15x+15Y= 165----- equation 3

7y=63

y= 63/7= 9

y= adults = 9

therefore x = number of children will be

x+y=11

x+ 9=11

x= 11-9= 2

In the group that attended the play, Number of children = 2 and number of adults = 9

8 0

3 years ago