Answers
[tex]\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\[/tex]
This then means,
[tex]\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\[/tex]
which is the pythagorean trig identity. This concludes the proof.
Therefore, if [tex]\cot^4 A - \cot^2 A = 1[/tex], then [tex]\cos^4 A + \cos^2 A = 1[/tex]
Related Questions
pls answer this question for me
Answers
Answer:
160 bottles of water
Step-by-step explanation:
Because c stands for how many cases of water she orders, you replace c in the equation b = 20c with 8. It would then be b = 20(8) which would be b = 160. Because b stands for the total number of bottles, that means the total number of bottles is 160.
Veronica is buying 6 ham sandwiches and 3 cheese sandwiches. Each sandwich
costs $4. The equation below can be used to find Veronica's total cost.
Veronica says all the sandwiches will cost more than $30. Use the drop-down
menus to explain if her statement is reasonable.
4×6+3=0
Answers
Answer: 36
Step-by-step explanation: 6 + 3 = 9.
4 * 9 = 36
Veronica's statement is reasonable because they cost more than $30.
The total amount of sandwiches is $36
Calculations and Parameters:Given that:
She buys 1 sandwich for $4
She buys 6 ham sandwiches and 3 cheese sandwiches
To find the total cost for Veronica would be:
6+3 = 9 total sandwiches
4 * 9= 36 total cost of the sandwiches.
Therefore, Veronica's statement is reasonable because they cost more than $30
Read more about total costs here:
https://brainly.com/question/25109150
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A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. which diagram correctly represents this scenario? a ladder is propped against a 25 foot tall wall. the angle between the ladder and the ground is 18 degrees. a 25 foot ladder is propped against a wall forming an 18 degree angle. a ladder is propped against a wall forming an 18 degree angle. the distance between the bottom of the ladder and the wall is 25 feet. a 25 foot ladder is propped against a wall. the angle between the ladder and the ground is 18 degrees.
Answers
Answer:
its B
Step-by-step explanation:
The correct option is A 25-foot ladder is propped against a wall forming an 18-degree angle.
What are Trigonometric ratios?Trigonometric ratio is used to show the relationship between the sides and angles of a right-angled triangle.
A right-angled triangle is a triangle in which one of the angle is 90 degrees.
Given a 25-foot-long ladder is propped against a wall at an angle of 18° with the wall.
Here, the right-angled triangle ABC with side AB as the hypotenuse
The diagram of the scenario is attached below.
Find out more on Trigonometric ratio at: brainly.com/question/4326804
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WHat is the angle of the rotation of the following figure?
Answers
Answer:
I pretty sure it's 45 degrees from the information that you gave me.
Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.
Belle is going to make chili for a football party. It will take 1 hour and 10 minutes to prepare all the ingredients and assemble them in the pot. Then, the chili will need to simmer for 1 hour and 40 minutes. What is the latest time Belle can start preparing the ingredients if the chili needs to be ready at 4:00 P. M. ?
Answers
Answer:
1:10pm
Step-by-step explanation:
1st, you add all the time needed to make the chili & cook it.
1 hour + 10 minutes + 1 hour + 40 minutes = 2 hours & 50 minutes.
Now you work backwards from 4:00pm.
You go back 2 hours & you would be at 2:00pm
Now you go back another 50 minutes & you would be at 1:10pm
To double check, you can add 2 hours & 50 minutes to 1:10pm & you would get 4:00pm
how to turn 6/2 into proper fraction
Answers
Hey there!
6/2
= 6 ÷ 2 / 2 ÷ 1
= 3 / 1
= 3 ÷ 1
= 3
Therefore, your answer should be:
3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
9 1/4 pt = __ c
I can't do anything with fractions in it
Answers
How to do this conversion: There are 2 pints in 1 cup, in order to covert pints to cups, multiply the pint value by 2. Now, let’s multiply the pint value, 9 1/4 by 2.
(9 1/4 is a mixed number so we must change it, 4x9= 36, and 36 + 1 = 37, so it is 37/4.)
Once you get your answer by 37/4 x 2, you can see this.
9 1/4 x 2 = 4.5
(I’m guessing you mean your not doing fractions so here)
Also, I wasn’t sure if you used this “*” for multiplying so I used this “x”
Okay that’s it I hoped I helped.
9 1/4 pt =
Factor 1/10 out if 1/10x - 9/10. And yes, I do know that it is an odd question.
Answers
Answer:
x-9
Step-by-step explanation:
1/10×1 =1/10
1/10×9=9/10
so 1/10(1x-9) = 1/10x-9/10
60=4(k+3) +2(k-3) I need to try to get the variable by itself
Answers
Answer:
k=9
Step-by-step explanation:
This is what i got, tell me if i got this right.
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
[tex]4 \frac{2}{3} - 4 \frac{1}{3} = \\ [/tex]
[tex] \frac{1}{3} \\ [/tex]
Thus the true answer is option A .
Valeria wants to ride her bicycle 48 miles this week. She has already ridden 18 miles. If she rides for 4 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answers
Subract what she rode already from total:
48-18 = 30
Divide by number of days:
30/4 = 7.5
she will need to ride 7.5 miles per day
can you esplain me what angles and unit angles are?
Answers
Answer:
An angle is a space which is usually measured in degrees between two intersection lines. A unit angle is the angle which is subtend by a portion of circumstances equal in length to radius of a circle.
A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes?
A) 0.9527
B) 0.9178
C)0.4554
Answers
Answer:
0.9527
Step-by-step explanation:
Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay
The binomial probability for getting at least 4 successes is 0.955
What is binomial probability?The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.
Binomial probability formula[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]
Where,
P is the binomial probability
x is the number of times for a specific outcomes within n trials
[tex]nC_{x}[/tex] is the number of combinations
p is the probability of success in a single trial
q is the probability of failure on a single trial
n is the number of trials
Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.
And let x be a random variable denoting the number of success.
According to the given question.
We have
[tex]p = 0.85[/tex]
⇒[tex]q = 1- 0.85 = 0.15[/tex]
Also,
n = 6
Therefore,
The binomial probability of getting at least 4 success
[tex]=P(x\geq 4)[/tex]
[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]
[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]
[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]
[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]
[tex]=0.165+0.396+0.4\\=0.955[/tex]
Hence, the binomial probability for getting at least 4 successes is 0.955
Thus, option A is correct.
Find out more information about binomial probability here:
https://brainly.com/question/12474772
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Given: ABC is a right triangle
Prove: A^2 + b^2 =c^2
A = addition property of equality
B = Pythagorean theorem
C = Pieces of right triangles similarity theorem
D = cross product property
Answers
Answer: B
Step-by-step explanation:
You cannot use what you are trying to prove as a justification.
Paul's skateboarding competition will start at 11:30 a. M. , but the competitors
must arrive at the skate park three-quarters of an hour early to warm up. The
competition must end by 1:30 p. M.
Paul says he has to be at the skate park at 9:30 a. M. Is Paul correct? Explain
your answer.
Answers
Answer:
No, Paul is not correct.
Step-by-step explanation:
The competition starts at 11:30am. 9:30am is 2 hours before.
1/4 of an hour is 15 minutes, 1/2 an hour is 30 minutes, 3/4 of an hour is 45 minutes
So, Paul needs to get there 45 minutes before the 11:30am start time.
Paul needs to get there at 10:45am
Find the twenty-fourth term of the arithmetic sequence whose eighteenth term is 42, and whose twenty-fifth term is 56.
Answers
Answer:
54
Step-by-step explanation:
Given
a₁₈ = 42a₂₅ = 56Solving
a₁₈ = a + 17d = 42 (1)a₂₅ = a + 24d = 56 (2)(2) - (1)a + 24d - a - 17d = 56 - 427d = 14d = 2a = 56 - 24(2) = 56 - 48a = 8Finding a₂₄
a₂₄ = a + 23d8 + 23(2)8 + 4654 SIMPLE ALGEBRAICE FRACTIONS
A computer shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of both types of mice is $433, find the number of type A mice displayed.
Answers
There are 31 type A mice and 19 type B mice in the computer shop costing about $433.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let a represent the type A and b represent the type B, hence:
a + b = 50 (1)
Also:
6a + 13b = 433 (2)
a = 31, b = 19
There are 31 type A mice and 19 type B mice in the computer shop costing about $433.
Find out more on equation at: https://brainly.com/question/1214333
Which graph represents a function?
Answers
Answer:
The LAST graph, the horizontal line.
Step-by-step explanation:
The first three graphs do NOT pass the vertical line test. The last graph does. It clearly has only one y-value for each x-value. The function is the last one!
Which of the following statements correctly describes the items shown below?
A. Both functions are increasing and have different rates of change.
B. Both functions are increasing and have the same rates of change.
C. Both functions are decreasing and have the same rates of change.
D. Both functions are decreasing and have different rates of change.
Answers
Help please <<<<<<<<<<<<<<<<<<<>>>>>>>>
Answers
Answer:
18273546
or 81725364
Step-by-step explanation:
assending or disssending order by way
PLEASE HELP!!!!!!!
Type the correct answer in each box. Use numerals instead of words.
The function f(x)
= x^1/2 is transformed to get function m.
m(x) = (x + 1)^1/2 +2
What are the domain and the range of function m?
domain: ( ?, infinity)
range: ( ? , infinity)
Answers
Answer:
Domain: [-1, inf) Range: [2, inf)
Step-by-step explanation:
Facts aboout a square root: Can never = be negative.
Thus x + 1 = 0, x = - 1
Domain: [-1, inf)
When (x+1)^1/2 = 0, m(x) = 2
Range: [2, inf)
Answer: The answer and explanation are in the picture!
Step-by-step explanation:
7.
Charlie and Dasha are roommates, and
they have a dog. If neither of them is
home, they hire someone to watch the
dog. Charlie must go on business trips
every 6 months, while Dasha must go on
business trips every 9 months. If they
both just got back from business trips,
how many months will it be before they
need to hire someone to look after the
dog again?
Explain your answer.
Answers
Answer:
they wont need to hire someone for nine months.
Charlie will be gone in 6 months, while Dash has 3 more months after til she leaves.
Answer: 18 months
Step-by-step explanation:
If both of them aren't at home, then they hire someone to look after the dog. However, if Charlie is on a trip and Dasha isn't, they don't. So they would need to be at business trips at the same time and that means they will hire someone to look after the dog. So we find the LCM of 6 and 9 which is 18 months.
HELP! WILL GIVE BRAINLEST!
Answers
Answer:
option c
Step-by-step explanation:
pi/2 is the answer
Luis starts to do a division problem and notices that there is a pattern in the digits to the right of the decimal point.
This number is _____.
A. Natural
B. Irrational
C. An integer
D. Rational
Answers
Answer:
D. Rational
Step-by-step explanation:
A rational number is any number that can be written as a decimal or a fraction.
Hope it helped!
A bag contains hair ribbons for a spirit rally. The bag contains 4 black ribbons and 5 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that Lila selects a green ribbon and Jessica selects a black ribbon? Express your answer as a fraction in simplest form.
Answers
Answer:
3/15 x 12/14 = 36/210 = 6/35
Step-by-step explanation:
3 + 12 = 15
3/15 = black
12/15 = green
the probability Lila selects the black ribbon first is 12/15
Lila has taken one away so the total now decreases by one to 14
There are 3/14 black ribbons now, and hence the probability that Jessica takes one is 3/14.
Then you just multiply the two together:
3/15 x 12/14 = 36/210 = 6/35
So as a result, The simplified answer is 6/35
What is the exact circumference of the circle?
•
10T ft
•
20T ft
•
40T ft
60r ft
Answers
Answer:
60r ft
Step-by-step explanation:
If it is wrong correct me if it is correct pls mark me as brainliest pls
A guidance counselor compiles data relating a student's english grade to the number of languages studied. the results are shown in the frequency table below. a 4-column table with 3 rows titled english grade versus number of languages studied. the first column has no label with entries english only, english and another language, total. the second column is labeled 90 or above with entries 15, 110, 125. the third column is labeled lower than 90 with entries 105, 270, 375. the fourth column is labeled total with entries 120, 380, 500. the counselor converts the frequency table to a conditional relative frequency table by column. a 4-column table with 3 rows titled english grade versus number of languages studied. the first column has no label with entries english only, english and another language, total. the second column is labeled 90 or above with entries 0.12, 0.88, 1.0. the third column is labeled lower than 90 with entries 0.28, 0.72, 1.0. the fourth column is labeled total with entries x, y, 1.0. what is the value of x? 0.16 0.20 0.24 0.40
Answers
The value of x is 0.24. Option C is correct. The frequency table is used to find the relative frequency.
What is a frequency table?A frequency table is a collection of things with the number of times they appear in the table. f is used to signify frequency.
The given data from the table is;
The subgroup count of the column = 120
The total count = 500
x is the relative frequency
The relative frequency is found as;
[tex]\rm x = \frac{ subgroup \ count }{ total \ count } \\\\ x=\frac{120}{500} \\\\\ x = 0.24[/tex]
Hence the value of x is 0.24. Option C is correct.
To learn more about the frequency table refer to the link;
https://brainly.com/question/12576014
Answer:
answer on edge is c
Step-by-step explanation:
The length of a rectangle is twice its width. The perimiter of the rectangle is 36 ft what are the length and the width of the rectangle?
Answers
Answer:
W = 6', L = 12'
Step-by-step explanation:
Let W be the width and L the length.
We are told that L = 2W
The perimeter is 2L + 2W = 36'
Use the first equation in the second: 2(2W) + 2W = 36'
4W + 2W = 36'
6W = 36'
W = 6'
and since L = 2W, L = 12'
Check: Does a width of 6' and length of 12' make a perimeter of 36'?
2*6' + 2*12' = 36' ?
12'+24' = 36'
YES
The length is 12' and the width is 6'. The lenght is twice the width, and the perimeter adds to 36'.
Evaluate (−3) ^−3
Show work for full marks. Enter your final answer in simplified fraction form.
I NEED HELPP
Answers
-1/27
Solution:If we have a number to a negative power, we flip the number over, like so:[tex]-3- > \displaystyle\frac{1}{(-3)^3}[/tex]Simplify:[tex]\displaystyle\frac{1}{-27} =-\frac{1}{27}[/tex]Hope it helps.
Do comment if you have any query.
THIS IS REALLY URGENT!
In a shopping center, two rectangular windows have to be replaced with a base of 5 meters and a height of 4 meters. The cost of the glass is $72 per square meter, and the glazier requires $80 per glazing for labor. How much will the complete installation of the two windows cost?
Need step by step explanation + I’ll give brainliest. This is due tmr and I only have 1 hours left.
Answers
Answer:
$3040
Step-by-step explanation:
5*4 = 20
↓
20*72=1440
↓
1440x2=2880
↓
80x2=160
↓
160+2880=3040
Hope this helps! :)