Verify which of the following are identities.

Verify Which Of The Following Are Identities.

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Equation 1:

\(1+\frac{\cos^{2} \theta}{\cot^{2} \theta(1-\sin^{2} \theta)}\\ \\ 1+\frac{\sin^{2} \theta}{\cos^{2} \theta} \\ \\ 1+\tan^{2} \theta \\ \\ \sec^{2} \theta\)

Equation 2:

\(15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cot \theta}{\csc \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cos \theta / \sin \theta}{1/\sin \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\cos \theta \right) \\ \\ 15\cos \theta \left(\frac{1-\cos^{2} \theta}{\cos \theta} \right) \\ \\ 15(1-\cos^{2} \theta) \\ \\ 15\sin^{2} \theta\)


Related Questions

Pls help this is my last points

Pls help this is my last points

Answers

Answer:

520 - 10x = 380

Step-by-step explanation:

x= 14

Answer:

520-10x=380

x = 14

Step-by-step explanation:

Betty can mow 4 lawns in 4.4 hours. Jemma can mow 6 lawns in 5.4 hours. Who will take less time to mow 7 lawns

Answers

i’m so sorry to bother you again with this i am not able for the last hour or so to see the doctor but if i have a problem i would.

You are 22 years old and are starting a savings plan and will deposit $200 every 2 months until you retire. The account will give you 7% interest. How much do you expect your account to be worth when you retire at 67 years old?

Answers

Answer:

Formulae can be searched for confirmation : compounding interest with regular payments

Step-by-step explanation:

Calculations do it by yourself

You are 22 years old and are starting a savings plan and will deposit $200 every 2 months until you retire.

Answer:

clchjtdjgdtklgdlnajajhbshsjzsnnjdndmqjsnsn him

Which of the following is true of the location of the terminal side of an angle 0 who's sine value is 1/2?- has a reference angle of 30° and is in quadrant one or two- as a reference angle 30° and is in quadrant one or four- has a reference angle of 60° and is in quadrant one or two- as a reference angle of 60° in is in quadrant one or four

Answers

Out of the following the statement  has a reference angle of 30° and is in quadrant one or two-  is true of the location of the terminal side of an angle 0 whose sine value is 1/2.

Since the reason behind this is that the sine value of 1/2  can be written as sin(30°), this means that the terminal side of the angle is located at 30°, which is either quadrant one or two. Quadrant one is the upper right quadrant of the coordinate plane, and quadrant two is the upper left quadrant.

The reference angle of an angle is the angle between the terminal side of the angle and the positive x-axis. In this case, the reference angle would be  30°. The reference angle of an angle is important because it is used to determine the quadrant in which the terminal side of the angle is used to determine the quadrant in which the terminal side of the angle is located. The reference angle must be less than 90° in order for the terminal side to be located in the first and second quadrants.

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Ashley has an action figure collection of 500 action figures. She keeps 430 of the action figures on her wall. What percentage of Ashley's action figure collection does she keep on her wall?

Answers

Answer: 86%

Step-by-step explanation:

430/500=0.86

0.86x100= 86

86%

Answer:

86%

Step-by-step explanation:

what is the solution set for the inequality?
4x+2< -10

Answers

Answer:

X is greater than negative 4

Step-by-step explanation:

1.-2 from both sides

2. divide 4 from both sides

3. solution set X is greater than negative 4

hi my name is q tip and I got feet

Answers

Answer:

Da mn really that's sick man

Step-by-step explanation:

I've got feet too ツ

What is Probability in YOUR OWN WORDS​

Answers

Answer:

Probability is the chances of something happening.

Step-by-step explanation:

Write the equation for the line.

Write the equation for the line.

Answers

the equation for the line is x= -4 because your line is going through the x axis

Suppose the coefficient of determination is 0.81, and the sample slope is negative. Then the coefficient of correlation is: a) 0.85 b) -0.85 c) 0.91 d) -0.90

Answers

The coefficient of correlation is -0.90

The percentage of the dependent variable's variance that is predicted from the independent variable is known as the coefficient of determination or R squared method. It shows how much variety there is in the given data collection.

The range of the coefficient of determination, which is the square of the correlation(r), is 0 to 1.

The square of the correlation between the x and y variables is used to calculate the coefficient of determination in linear regression.

The dependent variable cannot be predicted from the independent variable if R2 is equal to 0.

The dependent variable can be accurately predicted from the independent variable if R2 is equal to 1.

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a. How much warmer is 82 than 40?
b. How much warmer is 82 than -40?

Answers

a>82 is 42 degrees warmer than 40.

The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm. Explain why your drawing is accurate.

Answers

The dimensions of the another rectangle is 2 cm and 4 cm.

According to the statement

We have to find that the perimeter of another rectangle.

So, For this purpose, we know that the

The perimeter of a shape is defined as the total length of its boundary.

From the given information:

The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. draw another scale drawing of the pool using the scale 25 m to 2 cm.

Then

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

l/b = 1/2

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we've to draw a rectangle with a scale = 25 : 2

Therefore, multiplier factor = 25/l = 25/2

l = 2 cm

Similarly,

50/w = 25/2

w = 4 cm

Now we are able to draw a rectangle with length = 2 cm and width = 4 cm.

So, The dimensions of the another rectangle is 2 cm and 4 cm.

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The perimeter of a pool is 150 m. the rectangle at the right is a scale drawing of the pool. The length

Here is a table that shows students scores for 10 rounds of a video game. What is the median score?






Here is a table that shows students scores for 10 rounds of a video game. What is the median score?

Answers

145 is the median :)

Answer:

145

Step-by-step explanation:

130 + 150 + 120 + 170 + 130 + 120 + 160 + 160 + 190 + 140 = 1470

1470 ÷ 10 = 145

Can someone help me!!!
The line represented by 4y = 2x + 12 is dilated by a scale factor of k centered at the origin, such that the image of the line has an equation of y = (1/2)x + 30. What is the scale factor?

Answers

Answer:

10

Step-by-step explanation:

4y = 2x + 12

Divide both sides by 4:

y = ½ x + 3

This has a slope of ½ and a y-intercept of 3.

The other line has the same slope and a y-intercept of 30.

So the scale factor is 10.

Vedant received two quotes for new carpet for his home. The quote from Company A is $0.15 less per square foot than the quote from Company B. If Vedant plans to buy 1,200 square feet of carpet, how do his total costs from the two companies compare?
Company A is cheaper by $180.

Company B is cheaper by $180.

Company A is cheaper by $8,000.

Company B is cheaper by $8,000.

Don’t make any funny jokes about this and don’t say idk or something like that or I’ll report you.

Answers

Answer:

Company B is cheaper by $180.

Step-by-step explanation:

just do 1,200 square feet x 0.15 = 180

Answer:

b as in big cat

Step-by-step explanation:

Plz help I need help plz

Plz help I need help plz

Answers

I think it might be 157 inches
Explanation
Find the area of rectangle (5)(14)=70
Area of find the half circle are A=pï(r^2)/2
So 3.14(49)/2=76.93
Then the next one
3.14(6.25)/2=9.8125
Then add all together 156.7425

HELP PLEASE!
The following inequalities form a system.

y is greater than or equal to two-thirds times x plus 2
y is less than negative one-third times x plus 1

Which ordered pair is included in the solution to this system?

(−6, −3)
(−6, −2)
(−6, 3)
(−6, 4)

Answers

The ordered pair which s included in the solution to this system of inequality y ≥ 2/3x + 2, y < - 1/3x + 1 is (-6, -2) and (-6, 3).

The correct answer option is option B and C

How to solve the system of inequality?

y ≥ 2/3x + 2

y < - 1/3x + 1

Check all that applies:

(x, y) = (−6, −3)

(x, y) = (−6, −2)

(x, y) = (−6, 3)

(x, y) = (−6, 4)

It can be seen that x = -6

Use this to find the value of y

y ≥ 2/3x + 2

substitute x = -6 into the inequality

y ≥ 2/3(-6) + 2

y ≥ -12/3 + 2

y ≥ - 4 + 2

y ≥ - 2

(x, y) = (-6, -2)

y < - 1/3x + 1

substitute x = -6 into the inequality

y < -1/3(-6) + 1

y < 6/3 + 1

y < 2 + 1

y < 3

(x, y) = (-6, 3)

So therefore, the solution to the system of inequality is (-6, -2) and (-6, 3).

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Find the equation of this line.
Simplify the fractional part.(picture)

Find the equation of this line.Simplify the fractional part.(picture)

Answers

Answer:

y=-4/10x+1

y=-2/5x+1

Step-by-step explanation:

since the line is going down its negative either way so so just find slope which is -4/10 simplify that it equals -2/5

Answer:

y=-4/10x+1

y=-2/5x+1

Step-by-step explanation:

The domain of the function f(x) = -2x is restricted to the positive integers. Which values are elements of the range?

2


-4


0

-6


4


-2


6

Answers

9514 1404 393

Answer:

  {-6, -4, -2}

Step-by-step explanation:

If the domain is positive integers, the range is negative even integers. The only ones on the list are ...

  -2, -4, -6

are all trapeziums rhombuses ???​

Answers

Answer:

No

Step-by-step explanation:

A trapezoid is a quadrilateral which has one pair of opposite sides parallel. ... In a rhombus, the opposite sides are parallel. If two pairs of sides are parallel, then one pair of sides is obviously parallel, meaning the shape is a trapezoid

Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value of the following statement. - [(s or -p) or r]

Answers

Answer:  false

Work Shown:

s = false

p = true

r = false

-p = false, which is the opposite of statement p

s or -p = false or false = false

The result of an 'or' operation is false only when both parts are false; otherwise, it is true

(s or -p) or r = false or false = false

(s or -p) or r = false

In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2

In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to &lt;2

Answers

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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A​ man, a​ woman, and their four children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each​ other?

Answers

Answer:

Required probability = 2 / 11

Step-by-step explanation:

Sample space of 5 person = 11!

One woman one man arrangement = 2!

Arrangement without woman = 10!

Required probability = [2!][10!] / [11!]

Required probability = 2 / 11

The probability that the parents will be standing next to each​ other is 2/11

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Sample space

Given a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!

The parent arrangement is  2!If they are arranged without the woman, the expected event will be 10!

Pr(parents standing next to each other) =  2!10!/11!

Pr(parents standing next to each other) = 2*10!/11*10!

Pr(parents standing next to each other) = 2/11

Therefore the probability that the parents will be standing next to each​ other is 2/11

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How many 50p’s are in £6

Answers

Answer:

12

Step-by-step explanation:

2 of, 50 pence, = 1 pound. So multiply 6 by 2, you get 12. Your answer should be 12.

Hope this helps!

Maybe brainliest?

The radius of a circle is 10 in. Find its circumference in terms of � π.

Answers

Answer:

20π [in].

Step-by-step explanation:

1. formula is:

C=π*2r;

2. the circumference according to the formula is:

C=π*10*2=20π.

A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table below shows the data:

Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31

Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)

Part B: Write a function which best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)

Answers

It would be 9 Hope it helps us

Please help me giving 100 pts to whoever can help me the fastest!!!!!

Please help me giving 100 pts to whoever can help me the fastest!!!!!

Answers

Answer:

0.4294

Step-by-step explanation:

212385758487✖️827648299199375

Answers

Answer:

1.7578071e+26

Step-by-step explanation:

TO determine which side of a linear inequality to shade in for its graph, you
should pick a point on one side of the dashed or solid line and plug its
coordinates into the original inequality. If the coordinates satisfy the
inequality, you should shade in that half of the plane.
• A. True
• B. False

Answers

The given statement about inequality is true.

What is inequality?

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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(c) In how many way we can list the digits{1,1,2,2,3,4,5}so that notwo identical digit are in consecutive positions?

Answers

Answer:

660 ways

Step-by-step explanation:

we have two numbers in consecutive positions in this question

(1,1) and (2,2)

numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360

number of ways that (2,2) are in consecutive positions = 6!/2! = 360

the permutation of (11),(22),3,4,5 = 5!

ps: I counted the pairs as one each.

5! = 120

to get total number of permutations

7!/2!2!

= 5040/4

= 1260

the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120

= 660 ways

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