Functions
Domain and Range

[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]

The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

cosec(θ)=−5 for interval [−π/2,π/2].

We know Sinθ=1/cosecθ

Cosecθ=1/sinθ

Now cosec(θ)=−5

-5=1/sinθ

sinθ=-1/5

θ=sin⁻¹(1/5)

θ=sin⁻¹(1/5)

θ=-11.54⁰ or 348.86⁰

Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Answer:

y - (-1) = 6/15 (x - 4)

(y + 1) 15 = 6 (x - 4)

15y + 15 = 6x - 24

15y = 6x -24 -15

15y = 6x - 39

Step-by-step explanation:

try hard

Answer:

Step-by-step explanation:

So, we divide 1200 by 25 to find out how many words per minute he types.

1200 / 25 = 48

So, he types 48 words per minute.

Now, we multiply this by 45 to find out how many words he can type in 45 minutes.

48 x 45 = 2,160

Joseph can type 2,160 words in 45 minutes!

Answer:

4

Step-by-step explanation:

20/5 = 4

Answer:

it is Circumference this is my answer

Answer:

circumfrence

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

3 is being distributed into x and 3 inside the parenthesis. So it is distributive property.

Answer: 131.76 calories

Step-by-step explanation:

110 calories          x

----------------- = ----------------

177.4 grams     212.5 grams

cross multiply and divide

(110x212.5)

23, 375 / 177.4 grams

x= 131.76

Answer:

27 / 5

Step-by-step explanation:

− 4 1/5 + 9 3/5 = 5.4 or 5 2/5

27/5 = 5.4 or 5 2/5

Answer:

Step-by-step explanation:

then then then

okokokokokokok

Answer:

1 cm2 = 0.155 in2; 1 in2 = 6.4516 cm2

Step-by-step explanation:

Welcome, Brainlest Please?

Check the picture below.

y - Y1 = m(x - X1)

y - 5 = 3(x - (-7))

y - 5 = 3(x + 7)

y - 5 = 3x + 21

y - 5 - 3x - 21 = 0

y - 26 - 3x = 0

-3x + y - 26 = 0

Answer:

∠ A = 43°

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent, so

∠ B = ∠ T  = 55°

The sum of the 3 angles in a triangle = 180°

sum the 3 angles in Δ ABC and equate to 180

2x - 9 + 3x + 4 + 55 = 180 , that is

5x + 50 = 180 ( subtract 50 from both sides )

5x = 130 ( divide both sides by 5 )

x = 26

Then

∠ A = 2x - 9 = 2(26) - 9 = 52 - 9 = 43°

7% as a decimal woul be 0.07

If you have any doubt leave a comment

Answer:

Your answer is 0.07.

7% = 0.07

Answer:

2

Step-by-step explanation:

$ 1.55 + $1.65 = $3.11

the budget is $7.95

$7.95 ÷ $3.11 = 2.5 but since you can't get half a milk it's 2

Answer:

2

Step-by-step explanation:

The graph clearly shows that when x = -1, y = 2.

Thus, the output of this function is 2.

Answer:

in 8 years both school will have 650 students

Step-by-step explanation:

HS A (t) = 250+50t

HSB (t) = 450+25t

250 + 50t = 450 + 25t

25t=200

t=8

in 8 years

to graph this:

HSA points (0,250) (2, 350) (4, 450) (8, 650)(10, 750)

HSB points (0, 450) ( 2, 500) (4, 550) (8, 650) (10, 700)

when you graph then you will notice they intercept at 8, which gives you 650 students

Answers:

==========================================================

Explanation:

For now, let's focus on system 1.

We have identical copies of "2y" in each equation, which means that if we were to subtract the equations straight down, then the y terms cancel out. That allows us to solve for x.

After doing those subtractions, we have the new equation 6x = 18 which solves to x = 3. Divide both sides by 6 to isolate x.

Once we know x, we can find out y.

7x+2y = 11

7(3)+2y = 11

21+2y = 11

2y = 11-21

2y = -10

y = -10/2

y = -5

or we can say

x+2y = -7

3+2y = -7

2y = -7-3

2y = -10

y = -10/2

y = -5

We should lead to the same y value either way. This helps confirm we have the correct x value.

Overall, the solution to system 1 is (x,y) = (3, -5)

----------------------------

Now onto system 2.

Unfortunately, we don't have identical y terms this time. But what we can do is double everything in the second equation to go from -x+y = 1 to -2x+2y = 2.

The new equivalent system is

[tex]\begin{cases}7x+2y = 11\\-2x+2y = 2\end{cases}[/tex]

Now we have the same situation as before: Subtract straight down, solve for x.

So we have 9x = 9 and that solves to x = 1.

We'll use this x to find the y value.

7x+2y = 11

7(1)+2y = 11

7+2y = 11

2y = 11-7

2y = 4

y = 4/2

y = 2

Or you could pick on the second equation

-x+y = 1

-1+y = 1

y = 1+1

y = 2

Answer: y = (1/2)x + 3

Step-by-step explanation:

The equation in slope-intercept form  y = (1/2)x+3

To determine how to write an equation from two points, we must determine the value of the slope and the yy-intercept. First, we will calculate the slope. This will be the value of mm in the slope-intercept form equation:

y=mx+b

Let’s answer the question, “What is the slope-intercept form of a line going through the points (1,5)(1,5) and (-4,7)(−4,7)?”

Remember, to calculate the slope we use the equation:

y2-y1/x2-x1

Therefore, the slope of the line is

-2/5

​

We can substitute

-2/5 for m.

To learn more about equation in slope-intercept refer to:

https://brainly.com/question/1884491

Answer:

x>8

Step-by-step explanation:

[tex]- 6x+ 30 < - 18 \\ - 6x < - 18 - 30 \\ - 6x < - 48 \\ \frac{ - 6x}{ - 6} < \frac{ - 48}{ - 6} \\ x > 8[/tex]

Answer:

1184ml

Step-by-step explanation:

8x148= 1184

Answer:

x=7/10

Step-by-step explanation:

1/5=2/10

9/10-       =2/10

Substitute the blank with X

9/10-  X  =2/10

x=7/10

Answer:

7/10

Step-by-step explanation:

9/10 - _ = 1/5

Let's represent the unknown as x

Therefore,

9/10 - x = 1/5

9/10 - 1/5 = x

x = 9/10 - 1/5 = 7/10

Answer:

29,596 first aid kits

Step-by-step explanation:

This is a multiplication problem. There are 604 kits in each duffle bag, and there are 49 duffle bags, so the equation is 604 x 49.

In the first step, we multiply 604 by 9 to get 5,436. In the second, we multiply 604 by 40 to get 25,160. Then we add the two numbers together to get 29,596.

Hope this helped :)

Answer:

No Questions are shown here

Step-by-step explanation:

Just says "For exercises, 7-9 write expressions for the area of each rectangle in two different ways. Then find the area using each expression."

Answer:

ok I will help you please wait for some time

Answer:

23

Step-by-step explanation:

Add the total number of hours in the given situation

Answer:

x = 7.5.

The two lines on the side of the triangle in the screenshot show us that the two lines made are the same length. So the difference between the first two values, i.e. 22.3 and 14.9 is the same difference between 14.9 and x.

Step-by-step explanation:

hope this helps. . .<3

good luck!    uωu

Answer:

Step-by-step explanation:

14.9 is the middle value of x and 22.3. So your formula looks like this.

(x + 22.3) / 2 = 14.9          Multiply both sides by 2

2(x + 22.3) / 2 = 14.9*2    Remove the brackets.

x + 22.3   = 29.8              Subtract 22.3 from both sides

x = 29.8 - 22.3                

x = 7.5

9514 1404 393

Answer:

  (-4, -13)

Step-by-step explanation:

When the translation (T) is added, the image is formed.

  (4, -9) +T = (9, -14)

  T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)

The same holds for the second point:

  (-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)

The image of the second point under the same translation is (-4, -13).

Answer:

1+2+3- -9+236359

Step-by-step explanation:

Answer:

y=-4x-7

Step-by-step explanation:

if you use the slope formula, y2-y1 over x2-x1 using any two points from the grid, you get a slope of -4.

if you use the slope intercept form, y=mx+b, and plug in y, m the slope, and x, you get -3=-4(-1)+b

if you solve that, you get -3=4+b

and if you isolate 4 by subtracing 4 from both sides, b=-7.

then you plug slope and y intercept into formula, and get y=-4x+b

Answer:

were is the qn?

Step-by-step explanation: