csc^3x-csc^2x-cscx+1=cot^2x(cscx-1)​

Answers

Answer 1

Verify the identity:

[tex]csc^3x-csc^2x-cscx+1\qquad =cot^2x(cscx-1)\\\\csc^2x(cscx-1)-1(cscx-1) =\quad \downarrow\\\\(csc^2x-1)(cscx-1)\quad \qquad \ =\quad \downarrow\\\\\bigg(\dfrac{1}{sin^2x}-\dfrac{sin^2x}{sin^2x}\bigg)(cscx-1)\ =\quad \downarrow\\\\\\\bigg(\dfrac{1-sin^2x}{sin^2x}\bigg)(cscx-1)\qquad \ =\quad \downarrow\\\\\\\bigg(\dfrac{cos^2x}{sin^2x}\bigg)(cscx-1)\qquad \qquad =\quad \downarrow\\\\\\cot^2x(cscx-1)\qquad \qquad \qquad =cot^2x(cscx-1)\qquad \checkmark[/tex]

Answer 2

Sorry, I messed up. So I changed it.


Related Questions

Which box-and-whisker plot represents the data set?

12, 10, 16, 19, 18, 14, 4, 18, 4

Answers

Answer:

Its would be number 2

Step-by-step explanation:

Population size: 9

Median: 14

Minimum: 4

Maximum: 19

First Quartile: 7

Third Quartile: 18

Interquatile Range: 11

Answer: Number 2

Step-by-step explanation:

just did the test its the second one in your image.

What is the volume of the following rectangular prism?

Answers

Answer:

The volume of the rectangular prism is [tex]8\frac{1}{2}\ units^{3}[/tex]

Step-by-step explanation:

we know that

The Volume of a rectangular prism is equal to

[tex]V=BL[/tex]

where

B is the area of the base

L is the length of the prism

In this problem we have

[tex]B=2\frac{1}{8}\ units^{2}=\frac{8*2+1}{8}=\frac{17}{8}\ units^{2}[/tex]

[tex]L=4\ units[/tex]

substitute

[tex]V=(\frac{17}{8})(4)=\frac{17}{2}=8\frac{1}{2}\ units^{3}[/tex]

What is the perimeter of the figure shown?
A)22ft
B)84ft
C)30ft
D)36ft

Answers

Answer:

D

Step-by-step explanation:

The perimeter of the figure is the total distance around the figure.

Add each side to find the total distance.

10 + 8 + 8 + 2+2 + 6 = 36

Besides 9 and 1, what is one factor of 9?

Answers

Answer:

3

Step-by-step explanation:

Besides 9 and 1, 3 is one factor of 9

Factor of 9:

1 • 9

3 • 3

Answer: 3

EASYY 90 POINTSS, I WILL GIVE BRAINLEASSTTTT..1


3. The triangle will be dilated by a scale factor of 2.5.
(a) What is the length of each of the sides after the dilation?
(b) Draw the new image and label it .

Answers

Answer:

Part a) The length of each of the sides after the dilation is

[tex]A'B'=30\ units[/tex]

[tex]B'C'=25\ units[/tex]

[tex]A'C'=35\ units[/tex]

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) What is the length of each of the sides after the dilation?

In this problem we have that the scale factor is 2.5

The scale factor is greater than 1

so

The dilation is an enlargement

To find the length of each of the sides after the dilation, multiply the original length by the scale factor

so

[tex]A'B'=AB*2.5=12*2.5=30\ units[/tex]

[tex]B'C'=BC*2.5=10*2.5=25\ units[/tex]

[tex]A'C'=AC*2.5=14*2.5=35\ units[/tex]

Part b) Draw the new image and label it

using a graphing tool

see the attached figure

Answer:

Do you still need help with this? If so just say if you do in the comments and I can probably help.

Step-by-step explanation:

A computer rounded the number 129. 257 to the nearest hundredth what is this number rounded to the nearest hundredth

Answers

129.26 because 7 is over 5

A parabola opening down the vertex is (3,0) and passes through (12,-12) what is that written in vertex form?

Answers

Answer:

[tex]\large\boxed{y=-\dfrac{4}{27}(x-3)^2}[/tex]

Step-by-step explanation:

The vertex form of na equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

We have the vertex (3, 0). Substitute:

[tex]y=a(x-3)^2+0=a(x-3)^2[/tex]

A parabola passes through (12, -12). Put the coordinates of the point to the equation and solve for a:

[tex]-12=a(12-3)^2[/tex]

[tex]-12=a(9)^2[/tex]

[tex]-12=81a[/tex]             divide both sides by 81

[tex]-\dfrac{12}{81}=a\\\\a=-\dfrac{4}{27}[/tex]

Finally:

[tex]y=-\dfrac{4}{27}(x-3)^2[/tex]

Plz help !! Needed to graduate

Answers

Answer:

the second one

Step-by-step explanation:

Just put the equation in the quadratic formula but first get it in the ax^2+bx+c=0 form for that take 1 to the other side and subtract it

[tex]8x^2-2x-1\\a=8,b=-2,c=-1[/tex]

the quadratic formula is shown in the picture along with the rest of the working

the answer is the second option :)

hope this helps, best of luck graduating :)

Answer:   [tex]\bold{\dfrac{2\pm \sqrt{36}}{16}}[/tex]

Step-by-step explanation:

[tex]8x^2-2x-1=0\quad \rightarrow \quad a=8,\ b=-2,\ c=-1\\\\\\Quadratic\ formula: x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(8)(-1)}}{2(8)}\\\\\\.\ =\dfrac{2\pm \sqrt{4+32}}{16}\\\\\\.\ =\dfrac{2\pm \sqrt{36}}{16}[/tex]

How to solve this!! Please!

Answers

Answer:

k^2 -3k +9/2

(k-3/2)^2

Step-by-step explanation:

k^2 -3k

Take b/2 and then square it to find the term to complete the square

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

k^2 -3k +9/2

The expression factors to (k-b/2)^2

(k-3/2)^2

3. What’s the answer to this question please

Answers

C

the answer should be C because the 45.75 represents the price of the fruit trees and if x was 88 that means there are 88 fruit trees

pls mark brainliest!!

Answer:

The correct option is C.

Step-by-step explanation:

Jenny is holding a fraction tile labeled 1/3. How many 1/3- fraction tiles are needed to equal the fraction tile labeled 1

Answers

Answer:

3

Step-by-step explanation:

Let

x -----> the number of 1/3 fraction tiles

we know that

The linear equation that represent this problem is equal to

[tex]\frac{1}{3}x=1[/tex]

Solve for x

Multiply by 3 both sides to remove the fraction

[tex]\frac{1}{3}x(3)=1(3)[/tex]

[tex]x=3[/tex]

Verify

[tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=1[/tex] -----> is correct

Three times 1/3 is equal 1

Triangle A'B'C' is a dilation of

triangle ABC. what is the scale
factor?

enter your answer in the box



Answers

The scale factor is 1/2

least to greatest 1 8/35, 1.3, 5/4​

Answers

Answer:1/3  <  1 8/35  <  5/4

Step-by-step explanation:

Showing Work

Rewriting as fractions if necessary:

43/35, 1/3, 5/4

The least common denominator (LCD) is: 420.

Rewriting as equivalent fractions with the LCD:

516/420, 140/420, 525/420

Ordering these fractions by the numerator in order from least to greatest:

140/420 < 516/420 < 525/420

Therefore, your input in order from least to greatest is:

1/3 < 1 8/35 < 5/4

At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75. What is the cost of an order of chips?

Define your variables:

Write your system of Equations:

Solve The System:

Answer The Question Being Asked:

Topic: Applying Systems of Equations

Answers

Define your variables:

At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75.

x = Chipsy = Tacos

Write your system of Equations:

You can get an order of chips and two tacos for $9.25.

1 Chips + 2 Tacos = 9.25

x + 2y = 9.25

The cost for two orders of chips and five tacos is $21.75.

2 Chips + 5 Tacos = 21.75

2x + 5y = 21.75Solve The System:

First equate the coefficient - in this case x:

(x + 2y = 9.25) * 2 = 2x + 4y = 18.50

2x + 4y = 18.50

2x + 5y = 21.75

Minus the equations from each other to remove the coefficient you equated:

(2x + 5y) - (2x + 4y) = 21.75 - 18.50

(2x - 2x) + (5y - 4y) = 21.75 - 18.50

y = 3.25Answer The Question Being Asked:What is the cost of an order of chips?

1 Taco = $3.25

y = 3.25

Substitute this into the equation.

x + 2y = 9.25

x + (2 * 3.25) = 9.25

x + 6.50 = 9.25

Rearrange to find x:

x = 9.25 - 6.50

x = 2.75

Chips = $2.75

$2.75

Television sizes are determined by the length of their diagonal measure. Michael just bought a new television. The height of the television is 40 inches and the length is 71.5 inches. Using the Pythagorean Theorem, what is the size of Michael’s new television? Round your answer to the nearest whole inch (whole number).

Part A: What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse? The legs have already been given. I’m looking for the hypotenuse.

Part B: Set-up your equation by substituting the correct numbers in to the formula.
71.5^2+40^2=c^2

Part C: Solve for the missing length. Remember to show ALL work for each step.


Part D: What is the size of the television rounded to the nearest whole inch (whole number)?
PART A AND B ARE DONE ALREADY
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER.

Answers

Answer:

Part A) The legs have already been given. I’m looking for the hypotenuse

Part B) [tex]c^{2}=40^{2} +71.5^{2}[/tex]

Part C) The missing length is [tex]81.93\ in[/tex]

Part D) [tex]82\ in[/tex]

Step-by-step explanation:

Part A) What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?

we know that

Applying the Pythagoras Theorem

[tex]c^{2}=a^{2} +b^{2}[/tex]

where

c ----> is the hypotenuse of the right triangle

a and b -------> are the legs of the right triangle

In this problem we have

[tex]a=40\ in[/tex]

[tex]b=71.5\ in[/tex]

so

The legs have already been given. I’m looking for the hypotenuse

Part B) Set-up your equation by substituting the correct numbers in to the formula

we have

[tex]a=40\ in[/tex]

[tex]b=71.5\ in[/tex]

substitute in the Pythagoras Theorem and solve for c (hypotenuse)

[tex]c^{2}=40^{2} +71.5^{2}[/tex]

Part C) Solve for the missing length

we have

[tex]c^{2}=40^{2} +71.5^{2}[/tex]

solve for c

[tex]c^{2}=1,600 +5,112.25[/tex]

[tex]c^{2}=6,712.25[/tex]

[tex]c=\sqrt{6,712.25}\ in[/tex]

[tex]c=81.93\ in[/tex]

Part D) What is the size of the television rounded to the nearest whole inch (whole number)?

[tex]81.93=82\ in[/tex]

Final answer:

The Pythagorean Theorem is used to find the size of the TV, which is the hypotenuse in this scenario and equals to approximately 82 inches when rounded to the nearest whole inch.

Explanation:

Since we've set up our equation as 71.5^2+40^2=c^2, we can now simply solve for c, which is our hypotenuse, and in this case, represents the size of the television.

To do so, calculate the square of both given sides and add them: (71.5)^2 + (40)^2 = 5112.25 + 1600 = 6712.25.

The next step is to take the square root of that sum to get the length of the hypotenuse/c: sqrt(6712.25) = ~81.94 inches

Part D: Now, to answer the final part of your question, if we round this result to the nearest whole inch, we get 82 inches as the size of the new television.

Learn more about Pythagorean Theorem here:

https://brainly.com/question/28361847

#SPJ3

(2a/a+3b) + 10 = b

Rearrange and make “a” as subject

Answers

Answer:

a = -2b - 10

Step-by-step explanation:

a + 3b + 10 = b

a + 10 = -2b

a = -2b - 10

I have a question. I'm doing a project and want to see how many people would like dogs or cats please comment your answer and if you give me a reason i will give you 5 stars its for 15 points!

Answers

i like both, but i have cats

Answer:

I like dogs because its much fun to play with them, instead of a cat and you can go on a walk with them.

Step-by-step explanation:

FOR 37 POINTS AND BRAINIEST IF U GET THIS RIGHT
What are the square roots of 36/100 ?
A - 6/10 and 6/10
B- ⅗ and ⅗
C- 9/25 and 9/25
D-18/50 and 18/50

Answers

Answer:

A

Step-by-step explanation:

6 x 6 = 36

10 x 10 = 100

Answer:

A

Step-by-step explanation:

6x6=36

10x10=100

Order the decimal numbers below from the smallest on the left to largest on the right
0.8, 0.088, 0.84, 0.0837

Answers

Answer:

0.0837 ,  0.088 ,  0.8 ,  0.84

Step-by-step explanation:

I need
PART A:
PART B:
PART C:
PART D:

Answers

Answer:

See below.

Step-by-step explanation:

Solve the equation using each of the properties listed.

3n - 5 = -8(6 + 5n)

3n - 5 = -48 - 40n              Distributive Property

3n + 40n - 5 = -48

43n - 5 = -48                      Addition Property of Equality

43n = -48 + 5

43n = -43                           Addition Property of Equality

n = -43/43

n = -1                                  Division property of Equality

Answer:

Guess that was the answwr

Step-by-step explanation:

which expression is equivalent to the expression (7×2)^7​

Answers

Answer:

9^7

Step-by-step explanation:

7*2=9

Russel's weight is 3/4th of Brooke's weight. Find the ratio of Russel's weight to Brooke's weight?

Answers

the ratio would be 3/4 : 1

Final answer:

The ratio of Russel's weight to Brooke's weight, given that Russel's weight is 3/4 of Brooke's, is 3:4.

Explanation:

The student is asking how to find the ratio of Russel's weight to Brooke's weight given that Russel's weight is 3/4 of Brooke's weight. To find this ratio, it's straightforward since the value 3/4 already represents the ratio of Russel's weight to Brooke's weight.

Therefore, the ratio of Russel's weight to Brooke's weight is 3:4. This simply means that for every 3 parts of weight that Russel has, Brooke has 4 parts of weight. Ratios are usually expressed in simplest form, and since 3/4 is already in its simplest form, we use it as it is.

Rewrite the function by completing the square (vertex form)

f(x)=x^2+16x-46

Answers

Answer:

[tex]\large\boxed{f(x)=(x+8)^2-110}[/tex]

Step-by-step explanation:

[tex]\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\f(x)=x^2+16x-46=x^2+2(x)(8)-46=x^2+2(x)(8)+8^2-8^2-46\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\to x^2+2(x)(8)+8^2=(x+8)^2\\\\f(x)=(x+8)^2-64-46=(x+8)^2-110[/tex]

Final answer:

The function f(x)=x^2+16x-46 can be rewritten by completing the square to achieve the vertex form of the function: f(x)= (x+8)^2 - 110. After rewriting, we can determine the vertex of this parabola is located at (-8,-110).

Explanation:

The problem asks you to rewrite the function f(x)=x^2+16x-46 by completing the square. This involves manipulating the quadratic formula to write it in the form f(x)=a(x-h)^2+k where (h,k) is the vertex of the parabola.

So, let's start by rearranging the original function:

f(x)=x^2+16x-46

The coefficient of x is 16; halving this, we get 8. Then we add and subtract (which means adding 0, so we don't change the equation) this within the square to complete the square:

f(x)= (x^2+16x+64) - 64 - 46

Then, the equation can be written as:

f(x)= (x+8)^2 - 110

This is the vertex form of the function. We can see that the vertex of the parabola is at (-8,-110).

Learn more about Completing the Square here:

https://brainly.com/question/4822356

#SPJ3

what is the exact volume of the cylinder?

Answers

Answer:

54π in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the radius and h the height )

here r = 3 and h = 6, thus

V = π × 3² × 6 = π × 9 × 6 = 54π in³ ← exact value

Plz help me it’s due tomorrow

Answers

Answer:

7

Step-by-step explanation:

Again just cross multiplication.

84 = 12m

Divide each side by 12.

m = 7.

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2x and y = 4x−2 intersect are the solutions of the equation 2x = 4x−2. (4 points)

Part B: Make tables to find the solution to 2x = 4x−2. Take the integer values of x between −4 and 4. (4 points)

Part C: How can you solve the equation 2x = 4x−2 graphically? (2 points)

Answers

Answer:

See below.

Step-by-step explanation:

Part A: You can solve the equations for an x value which make both true. You do this by setting each equation equal and using inverse operations.

2x = 4x - 2

2x - 4x = 4x - 4x - 2

-2x = -2

x = 1

Part B: You can make a table by substituting the values -4 to 4 in each equation and simplifying.

x     y = 2x      y = 4x - 2

-4           -8            -18

-3           -6             -14

-2           -4             -10

-1             -2            -6

0              0             -2

1               2              2

2              4              6

3              6              10

4              8              14

Part C: You can graph each equation and where they intersect will be the solution. They intersect at (1, 2). This is where they have the exact same x and y value in the table as well.

Answer:

When X= 1 both graphs are in (1,2)

Step-by-step explanation:

In order to evaluate the first part, where the lines intersect is you just have to equalize in opposite sides of the equation both equations:

2x=4x-2

Then you have to clear the x

2x-4x=-2

-2x=-2

x=[tex]\frac{-2}{-2}[/tex]

x=1

So your coordinates are x=1, and the Y coordinate you just evaluate one of the equations:

y=4x-2

y=4(1)-2

y=4-2

y=2

So your coordinate for y=2.

Part B, table.

To evaluate this, you just make a table, giving values to x, and you evaluate the Y:

X----Y

-4    -8

-3    -6

-2    -4

-1     -2

0      0

1       1

2      4

3     6

4     8

Part C.

YOu just hava to put it into the graph by evaluating with the tables above.

which sentence can reperesent the inequality 3.5x>7?

A) The sum of 3.5 and a number is greater than 7

B) The sum of 3.5 and a number is greater than or equal to 7

C) The product of 3.5 and a number is greater than 7

D) The product of 3.5 and a number is greater than or equal to 7​

Answers

Answer:

Option C

Step-by-step explanation:

Given in an inequality in variable x as

[tex]3.5x>7[/tex]

In Algebra 3.5x represents the product of 3.5 with x

So the given inequality is equivalent to

the product of 3.5 and a number x is greater than 7.

Hence option C is right

C) The product of 3.5 and a number is greater than 7

Answer:

The product of 3.5 and a number is greater than or equal to 7.

Step-by-step explanation:

what is the mean absolute deviation for the data 30,30,35,35,40?
Please help me...I need the answer as fast as possible. Thanks! :D

Answers

Answer:

34

Step-by-step explanation:

30+30+35+35+40=170

Since there are 5 numbers You have two divide 170/2=34

Glad i could help!

Solve the system of equations and choose the correct answer from the list of options
2x + y = -4

Answers

X=-2-1/2y should be the answer

Click on the value for p that makes this inequality true.

Answers

Answer:0 is the answer

Step-by-step explanation:

The answer would be 0 since 0 is greater than -12.

Other Questions
Please help with number 25 Find the difference between the fastest girls time and the slowest girl time. Barbra ran 3 3/10, Donna ran 2 4/5 , Cindy ran 4 3/5 and Nicole ran 2 1/10 perform all the steps to evaluate this expression. (6^7)(3^3)/(6^6)(3^4) What is the value of the expression? An appropriate group of animals to examine to observe a malpighian tubule would be _____. An allusion to The Simpsons in a contemporary poem would be an example of what?A. Literarily Allusion B. Mythical AllusionC. Religious AllusionD. Popular culture Allusion In its 1972 furman v. Georgia ruiling, why did the Supreme Court strike down all state laws allowing the death penalty? -gradpoint Which of the following functions best represents the graph? f(x) = x3 + x2 4x 4 f(x) = x3 + 4x2 x 4 f(x) = x3 + 3x2 4x 12 f(x) = x3 + 2x2 4x 8 (05.02)The area of the parallelogram below is ____ square meters. A parallelogram with height labeled with 8 meters. The top horizontal side is labeled 6 meters. The base of the left triangle formed by the height is 2 meters. Numerical Answers Expected! what are chinampas? A circle is divided into 9 equal parts. What is the angle measured of two of those parts?What is the degrees The process of changing reaction rates is called Consider the following sequence. -1,2,10,23,41... complete the table table below for the sequence.N | F(x) | | | | |Part b: write a recursive formula for this function.Part c: what kind of function does this sequence appear to represent? Justify your answer. many species of moths will fly toward bright light which of the following describes this behavior?A. The moths have become habituated to bright lightB. The moths are displaying classical conditioning\C. The moths have used insight learning to respond to the lightD. The moths display an innate response to an external stimulus What is the process by which the concentration of a substance increases in the tissues of organisms as it travels up the food web called? Twice Jack's age plus 5 is 21. Write and solve an equation. How old is Jack? A) 8 B) 13 C) 32 D) 52 If you carry a balance on your credit card, but would like to pay less money in the long run, you should _____. make the minimum payment every month talk with your credit card company about removing your annual fee pay as much as possible each month close your account and transfer your balance to a different credit card If you burn yourself and run under cold water and a blister appears what degree burn is that In the sum of two numbers is 15 and the product is 56, what are the two numbers? Determine the formula unit for the compound formed when each pairs of ions interact. A shoe store is selling a pair of shoes for $60 that has been discounted by 20%. What was the original selling price? Show your work. Steam Workshop Downloader