Rewrite each expression such that the argument x is positive. a. cot(−x)cos(−x) sin(−x)

Answers

Answer 1

[tex]\cos(x)[/tex] is an even function, while [tex]\sin(x)[/tex] is odd. This means

[tex]\cos(-x) = \cos(x) \text{ and } \sin(-x) = -\sin(x)[/tex]

[tex]\cot(x)[/tex] is defined by

[tex]\cot(x) = \dfrac{\cos(x)}{\sin(x)}[/tex]

so it is an odd function, since

[tex]\cot(-x) = \dfrac{\cos(-x)}{\sin(-x)} = \dfrac{\cos(x)}{-\sin(x)} = -\cot(x)[/tex]

Putting everything together, it follows that

[tex]\cot(-x) \cos(-x) \sin(-x) = (-\cot(x)) \cos(x) (-\sin(x)) \\\\~~~~~~~~= \cot(x) \cos(x) \sin(x) \\\\ ~~~~~~~~= \cos^2(x)[/tex]


Related Questions

ABCD is an isosceles trapezium. Prove that: (1) (2) (3) AC=BD BE = CE AE = DE​

Answers

is there a picture included in this problem? if so please comment it so i can answer this problem.

Please explain to me how to do this

Answers

Answer:

see explanation

Step-by-step explanation:

basically Gauss' method simplifies to

Sum = (number of terms) ÷ 2 × (1st term + last term)

43

S₂₀₀ = 200 ÷ 2 × (1 + 200) = 100 × 201 = 20,100

44

S₄₀₀ = 400 ÷ 2 × (1 + 400) = 200 × 401 = 80,200

45

S₈₀₀ = 800 ÷ 2 × (1 + 800 ) = 400 × 801 = 320,400

46

S₂₀₀₀ = 2000 ÷ 2 × (1 + 2000) = 1000 × 2001 = 2,001,000

Answer:

Sum = (number of terms) = 2 x (1st term + last term) 43

43. S200 = 200 = 2 × (1+200) = 100 201 = X 20,100

44 400 400 = 2 × (1+400) = 200 × 401 = 80,200

45 S800 = 800 = 2 × (1+800) = 400 × 801 = 320,400

46 S2000 = 2000 2 × (1+ 2000) = 1000 × 2001 = 2,001,000

A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the discharge amounts in 18 randomly chosen cups of coffee from the machine were recorded. The sample mean and sample standard deviation were 7.04 ounces and 0.17 ounces, respectively. If we assume that the discharge amounts are normally distributed, is there enough evidence, at the 0.1 level of significance, to conclude that the true mean discharge,u, differs from ounces? Perform a two-tailed test. Then fill in the table below. I need the two critical values at the 0.1 level of significace. Also need the answers to al other questions and whether we accpe for reject.

Answers

Using the t-distribution, it is found that since the test statistic is between -1.7341 and 1.7341, we do not reject(accept) the null hypothesis, hence there is not enough evidence to conclude that the true mean discharge differs from 7 ounces.

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is of 7 ounces, that is:

[tex]H_0: \mu = 7[/tex]

At the alternative hypothesis, it is tested if the mean is different of 7 ounces, that is:

[tex]H_1: \mu \neq 7[/tex]

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

The values of the parameters are given by:

[tex]\overline{x} = 7.04, \mu = 7, s = 0.17, n = 18[/tex]

Hence the value of the test statistic is found as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{7.04 - 7}{\frac{0.17}{\sqrt{18}}}[/tex]

t = 1

What is the decision?

Considering a two-tailed test, as we are testing if the mean is different of a value, with 18 - 1 = 17 df and a significance level of 0.1, the critical value is of [tex]t^{\ast} = 1.7341[/tex]

Since the test statistic is between -1.7341 and 1.7341, we do not reject(accept) the null hypothesis, hence there is not enough evidence to conclude that the true mean discharge differs from 7 ounces.

More can be learned about the t-distribution at https://brainly.com/question/13873630

#SPJ1

Mr. Granger, a cyclist, rode from his home to his office at an average speed of 18 miles per. On his return home from his office, using the same route, he averaged 12 miles per hour. If the total trip took 5 hours, what was the distance from his home to his office?

Answers

Answer:

The distance is 36 miles.

Step-by-step explanation:

distance in either direction = d

total time = 5

time going = t

time returning = 5 - t

speed = distance/time

going:

speed = distance/time

18 = d/t

d = 18t       Eq. 1

returning:

speed = distance/time

12 = d/(5 - t)

60 - 12t = d

d =  60 - 12t     Eq. 2

Eq. 1 and Eq. 2 form a system of equations.

d = 18t

d = 60 - 12t

Since d = d, then 18t must equal 60 - 12t

18t = 60 - 12t

30t = 60

t = 2

d = 18t = 18(2) = 36

The distance is 36 miles.

If tan theta = 2ab / a2-b2 then find all other trigonometric ratios ​

Answers

Answer:

[tex]\displaystyle{\sin \theta = \dfrac{2ab}{a^2+b^2}}\\\\\displaystyle{\cos \theta = \dfrac{a^2-b^2}{a^2+b^2}}\\\\\displaystyle{\csc \theta = \dfrac{a^2+b^2}{2ab}}\\\\\displaystyle{\sec \theta = \dfrac{a^2+b^2}{a^2-b^2}}\\\\\displaystyle{\cot \theta = \dfrac{a^2-b^2}{2ab}}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle{\tan \theta = \dfrac{2ab}{a^2-b^2}}[/tex]

To find other trigonometric ratios, first, we have to know that there are total 6 trigonometric ratios:

[tex]\displaystyle{\sin \theta = \sf \dfrac{opposite}{hypotenuse} = \dfrac{y}{r}}\\\\\displaystyle{\cos \theta = \sf \dfrac{adjacent}{hypotenuse} = \dfrac{x}{r}}\\\\\displaystyle{\tan \theta = \sf \dfrac{opposite}{adjacent} = \dfrac{y}{x}}\\\\\displaystyle{\csc \theta = \sf \dfrac{hypotenuse}{opposite} = \dfrac{r}{y}}\\\\\displaystyle{\sec \theta = \sf \dfrac{hypotenuse}{adjacent} = \dfrac{r}{x}}\\\\\displaystyle{\cot \theta = \sf \dfrac{adjacent}{opposite} = \dfrac{x}{y}}[/tex]

Since we are given tangent relation, we know that [tex]\displaystyle{y = 2ab}[/tex] and [tex]\displaystyle{x = a^2-b^2}[/tex], all we have to do is to find hypotenuse or radius (r) which you can find by applying Pythagoras Theorem.

[tex]\displaystyle{r=\sqrt{x^2+y^2}}[/tex]

Therefore:

[tex]\displaystyle{r=\sqrt{(a^2-b^2)^2+(2ab)^2}}\\\\\displaystyle{r=\sqrt{a^4-2a^2b^2+b^4+4a^2b^2}}\\\\\displaystyle{r=\sqrt{a^4+2a^2b^2+b^4}}\\\\\displaystyle{r=\sqrt{(a^2+b^2)^2}}\\\\\displaystyle{r=a^2+b^2}[/tex]

Now we can find other trigonometric ratios by simply substituting the given information below:

[tex]\displaystyle{x = a^2-b^2}[/tex][tex]\displaystyle{y = 2ab}[/tex][tex]\displaystyle{r = a^2+b^2}[/tex]

Hence:

[tex]\displaystyle{\sin \theta = \dfrac{y}{r} = \dfrac{2ab}{a^2+b^2}}\\\\\displaystyle{\cos \theta = \dfrac{x}{r} = \dfrac{a^2-b^2}{a^2+b^2}}\\\\\displaystyle{\csc \theta = \dfrac{r}{y} = \dfrac{a^2+b^2}{2ab}}\\\\\displaystyle{\sec \theta = \dfrac{r}{x} = \dfrac{a^2+b^2}{a^2-b^2}}\\\\\displaystyle{\cot \theta = \dfrac{x}{y} = \dfrac{a^2-b^2}{2ab}}[/tex]

will be other trigonometric ratios.

PLS HELP!What is the difference of

Answers

Answer:

Option 3

Step-by-step explanation:

Since the denominators are the same, you can just subtract the numerators.

On a map, point C is 4.3km due east of point B , and point B is 2.7km on a bearing of 143° from point A . Give your answer to 2 decimal places for the following. a Find how far east point B is from A. b Find how far east point C is from A. c Find how far south point C is from A

Answers

Based on the bearings of the direction and the distances given, the distance of point B from A is 1.62 km.  Point C's distance from A is 5.92 km east and 2.16 km south.

How far are points B and C from A?

To find the distance from point B to point A, the Cos function should be used.

Point A's distance from B can be found as:

= Cos (143 - 90) x distance from point A

= Cos (53°) x 2.7

= 1.62 km

The distance of C from A eastward is:

= 1.62 + 4.3

= 5.92 km

As C is southward from point A, the function to be used is the Sin function.

The distance southward of c from A is:

= Sin(53°) x 2.7

= 2.16 km

Find out more on calculating distance at https://brainly.com/question/14364020

#SPJ1

What is the first step in solving a2−5=−2?

Answers

To solve the given quadratic equation, a² - 5 = -2, the first step we need to do is to represent it in the standard form by adding 2 to both sides.

A quadratic equation is solved using the quadratic formula, [tex]x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex], when the equation is in the standard form, ax² + bx + c = 0, where, a, b, and c, are real numbers.

In the question, we are asked for the first step in solving a² - 5 = -2.

We can see that the provided equation is quadratic in the variable a.

To solve, the equation, we first need to represent the given equation in the standard form, ax² + bx + c = 0, where, a, b, and c, are real numbers.

To represent it in the standard form, we add 2 to both sides of the equation, to get a² - 5 + 2 = -2 + 2, or, a² - 3 = 0, which is a standard quadratic equation in the variable a.

Thus, to solve the given quadratic equation, a² - 5 = -2, the first step we need to do is to represent it in the standard form by adding 2 to both sides.

Learn more about quadratic equations at

https://brainly.com/question/1214333

#SPJ1

Find the value of sin J rounded to the nearest hundredth, if necessary.
12
13
K

Answers

The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

What is the measure of the missing angle?

The image attached aside shows us a right triangle with two known side lengths (JL, KJ) and a angle measure (m ∠ K). The measure of the missing angle can be found by using the trigonometric function of cosine:

cos m ∠ J = KJ / JL

cos m ∠ J = 12 / 13

m ∠ J = 22.620°

The measure of the angle J within the triangle JKL is approximately 22.620°.

And the sine of the angle J, which helds the same positive sign than cosine as the angle is in the first quadrant on Cartesian plane, is:

sin m ∠J = √(1 - cos² m ∠J)

sin m ∠J = √[1 - (12 / 13)²]

sin m ∠J = 5 / 13

The value of the sine of the angle J is equal to 5 / 13 (approx. 0.38).

To learn more on trigonometric functions: https://brainly.com/question/6904750

#SPJ1

If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse.

Answers

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Right angled triangle

A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.

For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.

Find the slopes of AB, BC and AC

Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5

Slope of BC = 0-5/7-1
Slope of BC = -5/6

Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11

Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1

Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse

Learn more on right angle triangle here: https://brainly.com/question/22790996

#SPJ1

The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively. find the common difference

Answers

The first term of the arithmetic progression exists at 10 and the common difference is 2.

How to estimate the common difference of an arithmetic progression?

let the nth term be named x, and the value of the term y, then there exists a function y = ax + b this formula exists also utilized for straight lines.

We just require a and b. we already got two data points. we can just plug the known x/y pairs into the formula

The 9th and the 12th term of an arithmetic progression exist at 50 and 65 respectively.

9th term = 50

a + 8d = 50 ...............(1)

12th term = 65

a + 11d = 65 ...............(2)

subtract them, (2) - (1), we get

3d = 15

d = 5

If a + 8d = 50 then substitute the value of d = 5, we get

a + 8 [tex]*[/tex] 5 = 50

a + 40 = 50

a = 50 - 40

a = 10.

Therefore, the first term is 10 and the common difference is 2.

To learn more about common differences refer to:

https://brainly.com/question/1486233

#SPJ4

What is the answer of the fractions 9 and 1/6 multiplied by 1 and 1/11? Then, that answer simplified into simplest form?

Answers

The simplest form is 10.

We can find simplest as form:

Given, fractions are [tex]9\frac{1}{6}[/tex] and [tex]1\frac{1}{11}[/tex]

[tex]9\frac{1}{6}\times 1\frac{1}{11}[/tex]

[tex]\frac{55}{6}\times \frac{12}{11}[/tex]

[tex]=\frac{55\times 12}{6\times 11}[/tex]

=10

Hence, simplest form of given fraction is 10.

Learn more about fractions here:

https://brainly.com/question/78672

#SPJ1

20 POINTS
Data Analysis and Probability - Computing mean absolute deviation from a list of numerical values
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 20, 16, 21, 16, 22, 16, 15

Answers

Answer:

2.571428

Step-by-step explanation:

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

A cupcake store has 5 different kinds of cupcakes: chocolate, vanilla, lemon, strawberry, and coffee. Assuming there are at least 12 of each kind of cupcake, how many ways can you choose 12 cupcakes

Answers

Assuming there are at least 12 of each kind of cupcake, number of ways can you choose 12 cupcakes is; 1399358844975 ways

How to solve probability combination?

We are given the quantity of each type of cupcake as follows;

Number of types of cupcakes = 5

Number of Chocolate Cupcakes = 12

Number of Vanilla Cupcakes = 12

Number of Lemon cupcakes = 12

Number of Strawberry Cupcakes = 12

Number of coffee cupcakes = 12

Thus, total number of cupcakes will be gotten by adding all the quantities given above of the different types of cupcakes and we will get; Total number of cupcakes = 12 + 12 + 12 + 12 + 12

Total number of cupcakes = 60

Now, since there is no order of selection, then the number of ways that you can choose 12 cupcakes will be gotten by using the combination formula which is; nCr = n!/(n!(n - r)!)

Thus, number of ways that you can choose 12 cupcakes =

60C12 = 60!/(12! * (60 - 12)!) = 1399358844975 ways

Read more about Probability Combination at; https://brainly.com/question/4658834

#SPJ1

2x-7>5
what value x represents?
please answer right or else I will report​

Answers

Answer:

x > 6

Step-by-step explanation:

2x - 7 > 5

2x > 5 + 7

2x > 12

x > 6

The difference between the record high and low temperaturs in Charlotte, North Carolina, is 109°F. The record low temperature was -5°F. Write and solve an equation to find the record high temperature.

Answers

Answer: 104 degrees farenheit

Step-by-step explanation:    H =  record high temperature. -5 + 109 = H. -5+109 = 109 + (-5) = 109-5 = 104. H = 104.

Answer:

104

Step-by-step explanation:

Let x = record high and y = record low temperature in Charlotte. The difference between the records high and low, x and y, is 109 degrees Fahrenheit, so x - y = 109. Record low is -5, so x - (-5) = 109.

x + 5 = 109

x = 104

summer hw still hurts

Answers

[4] Answer: (-4, 1)

[5] Answer: Infinite solutions

        See attached for the graphs.

Step-by-step explanation:

      The solution to a system of equations, when graphing, is the point of intersection. In other words, the point at which the lines intersect each other.

      In the case of problem 5, the equations are equal so they overlap. This means there are infinite solutions.

Consider the first four terms of the sequence below. -3, -12, -48, -192, . . . what is the 8th term of this sequence?

Answers

Answer: -49152

Step-by-step explanation: the pattern here is that each term is subtracting 3 times its absolute value. Going from -3 to -12 there is a difference of 9 which is 3 times to absolute value of -3. So, the sequence will continue like this : -192, - 768, -3072, - 12288, -49152.

Factorise :
ab(x^2 - y^2) + (a^2 - b^2)xy = 0​

Answers

Step-by-step explanation:

abx^2-aby^2+xya^2-xyb^2

abx^2+xya^2-aby^2-xyb^2

ax(bx+ya)-yb(ay+xb)

ax(bx+ya)-yb(xb+ay)

(ax-yb) (bx+ya)

Part III: Is x+1 a factor of the polynomial 12x+5x+3x²-5? Explain your answer. (2 points)

Answers

Answer:

no

Step-by-step explanation:

So you can express a polynomial in factored form as such: [tex]a(x)*b(x)*c(x)...[/tex] where a(x), b(x), and c(x), each represent a polynomial which are each factors of the equation. It's important to note that each factor is being multiplied by each other, meaning if any of the factors output 0, the entire thing is 0, no matter the value of the other factors, since 0 * some value = 0. For this reason, if we plug in the value that makes (x+1) 0, into the polynomial, and the polynomials value is 0, that means it is a factor.

x + 1 = 0

x = -1

The value that makes the factor 0, is -1. This means that if it is a factor of the polynomial, then plugging in -1 as x into the polynomial should make the value 0.

Original Equation:

[tex]12x+5x+3x^2-5[/tex]

Plug in -1 as x

[tex]12(-1)+5(-1)+3(-1)^2-5[/tex]

Multiply values

[tex]-12-5+3(1)-5[/tex]

Simplify:

[tex]-17+3-5\\-14-5\\-19[/tex]

Since the value of the polynomial is not 0, this means x+1 is not a factor

You can also solve this use the Remainder Theorem and Factor Theorem which essentially uses the same logic

Remainder Theorem:

   If a polynomial P(x) is divided by x-a, the remainder is P(a)

Using the remainder theorem, if x-a is indeed a factor, then that means the remainder should be 0, just as 11 is a factor of 77, and 77/11 has a remainder of 0. This is what the factor theorem essentially states

Factor Theorem:

   The expression "x-a" is a factor of P(x) if and only if P(a) = 0

Which if the following rational functions is graphed below?

A.F(x)=1/x+4

B.F(x)=1/4x

C.F(x)=1/x-4

D.F(x)=4/x

Answers

[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

Take note that there is a vertical asymptote at x = -4. This means that our function has the form:

▪ [tex]\longrightarrow \sf{F (x)=\dfrac{A}{x + 4} }[/tex]

[tex]\leadsto[/tex] By comparing it with the given options, the correct option is A.

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

◉ [tex] \bm{A. \: \: F(x)= \dfrac{1}{x + 4} }[/tex]

Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y)=xy; 6x y=10

Answers

There is a maximum value of 7/6 located at (x, y) = (5/6, 7).

The function given to us is f(x, y) = xy.

The constraint given to us is 6x + y = 10.

Rearranging the constraint, we get:

6x + y = 10,

or, y = 10 - 6x.

Substituting this in the function, we get:

f(x, y) = xy,

or, f(x) = x(10 - 6x) = 10x - 6x².

To find the extremum, we differentiate this, with respect to x, and equate that to 0.

f'(x) = 10 - 12x ... (i)

Equating to 0, we get:

10 - 12x = 0,

or, 12x = 10,

or, x = 5/6.

Differentiating (i), with respect to x again, we get:

f''(x) = -12, which is less than 0, showing f(x) is maximum at x = 5/6.

The value of y, when x = 5/6 is,

y = 12 - 6x,

or, y = 12 - 6*(5/6) = 7.

The value of f(x, y) when (x, y) = (5/6, 7) is,

f(x, y) = xy,

or, f(x, y) = (5/6)*7 = 7/6.

Thus, there is a maximum value of 7/6 located at (x, y) = (5/6, 7).

Learn more about maximum and minimum at

https://brainly.com/question/2437551


#SPJ4

A man spent one-fourth of his salary on food and one-half of the remainder on clothing. If his salary is 120000, how much did he spend on clothing​

Answers

Answer:

salary=120000

1/4×120000=30000= money spent

remainder=120000- 30000

= 90000

money spent on clothing =1/2×90000

=45000

Explanation: If his salary is $120,000 and 1/4 is used on food he has a remaining of $80,000. He uses 1/2 on clothing so he has a remainder of $40,000 so now we know that he used $40,000 on clothing

Answer: $40,000

Hope this helps you! :D

Solve this question with full working and explanation and I will mark you as brainliest. ​

Answers

Answer:

The hand moved [tex]\bf \frac{3}{4}[/tex] of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     [tex]\frac{1}{12}[/tex] turns

9 hours     ⇒     [tex]\frac{1}{12}[/tex]  × 9 = [tex]\frac{9}{12}[/tex]

                                     = [tex]\bf \frac{3}{4}[/tex] turns    (simplified)

∴ The hand moved [tex]\bf \frac{3}{4}[/tex] of a complete turn.

The answer is  [tex]\boxed{\frac{3}{4}}[/tex].

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

Hours covered between 3 and 12 : 12 - 3 = 9Hours covered in a complete turn = 12Fraction of a complete turn it moved : 9/12 = 3/4

(04.01 LC)

Which set of ordered pairs represents a function?

{(0, 1), (1, 3), (1, 5), (2, 6)}
{(0, 0), (1, 2), (2, 4), (3, 4)}
{(0, 1), (1, 2), (2, 3), (2, 4)}
{(0, 0), (0, 2), (2, 2), (2, 4)}

PLEASE HELP ASAP

Answers

it’s the 3rd option because the ordered pairs

A single card is drawn from a standard 52-card deck. find the conditional probability that the card is a club, given that it is a ten______

Answers

The probability of getting a Club given that the card is a Ten is 0.25.

According to the statement

we have given that the there is a deck of the 52 cards and we have to find the conditional probability that the card is a club and the given card is a 10 number card.

So, For this purpose we know that the

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

And according to this,

The probability P is

P(Club) = 13/52 = 1/4

P(Ten) = 4/52 = 1/13

P(Club and Ten) = (1/4)(1/13) = 1/52

And we know that the

P(Club|Ten) = P(Club and Ten)/P(Ten)

And then substitute the values and it become

= (1/52)/(1/13) = (1/52)(13/1)

= 13/52 = 1/4

= 0.25

So, The probability of getting a Club given that the card is a Ten is 0.25.

Learn more about probability  here

https://brainly.com/question/24756209

#SPJ4

There are two numbers between 30 and 40 that have just two factors.
What are they?​

Answers

Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Hypotenuse: The ________ side of a right triangle; side ________ from the right angle.

Answers

The Hypotenuse is the Longest side of right triangle; side Opposite from the right angle.

According to the statement

we have given that the property of the hypotenuse of the triangle and we have to complete it.

So, For this purpose, we know that the

A hypotenuse is the longest side of a right-angled triangle, and The length of the hypotenuse can be found using the Pythagorean theorem.

Now we discuss about the properties of the hypotenuse;

The hypotenuse is the longest side in a right angled triangle. The hypotenuse is opposite the right angle. The midpoint of the hypotenuse is the circumference.

And from these properties we have to complete the given property.

So, The Hypotenuse is the Longest side of right triangle; side Opposite from the right angle.

Learn more about hypotenuse here

https://brainly.com/question/3717303

#SPJ1

Find the missing segment in the image below.

Answers

Answer:

105.

Step-by-step explanation:

x/120 = 56/64   where x is the length of missing segment

64x = 120*56

x =  (120*56)/64

  =  105.

Determine whether the following series converges conditionally, converges absolutely, or diverges. Be sure to state which test(s) you are using.

Answers

Answer:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Step-by-step explanation:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Explanation:

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Other Questions
In 2015, the fcc reclassified broadband internet transmission as a _____, which allowed to regulate isps, but the protections offered by that decision ended in december 2017. The volume of a sphere is 144. What is its Surface Area to the nearest whole number? ________ is the enthalpy change when 1 mole of water is produced by the reaction of an acid and a base under standard conditions. Alicia is speaking on the controversial topic of gun ownership rights. in order to formulate the most persuasive argument, alicia should? Words that refer to tangible objects are ______ words, while ______ words are used to refer to concepts or ideas. The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively. find the common difference What was the important contributing tradition that resulted in roman veristic portraiture? Colby needs to wash the windows on the second floor of a building.He only has a 12 ft ladder and because of dense shrubbery, he hasto put the base of the ladder 5 feet from the building. How many feet above the ground would the windows need to be in order for Colby to reach them with his 12 ft ladder? What construction type uses a few large wooden members in place of many small wood-frame members? What descriptive term is applied to the type of diene represented by 1,5-octadiene? When a contract is drafted by one party (such as an insurance company) and signed by the other party (such as a client), matters of ambiguity in the contract will be judged in favor of? If A= (6,11), B= (1,5), and C= (7,0), show by means of slopes that ABC is a right triangle. Name the hypotenuse. why do Romeo and Juliet family's have conflict with each other state a quote in act 1 Which states tend to benefit the most from the clout associated with their representation in the electoral college? all the states are pretty happy with the electoral college system The smaller population states because they get disproportionally higher per capita representation medium population states larger population states The test scores of 15 students are listed below. Find the third decile, D3. 41, 45, 51, 57,59, 62,66,69, 75,78, 85,87,90,94,95 The adaptation to stress and challenge that creates effective adaptations and more refined coping skills for the future is referred to as:________ If a real estate professional discovers that another real estate professional is engaging in discriminatory marketing practices, what action should he or she take? People in a culture that has a(n) Blank______ focus tend to exhibit patience and perseverance and would likely define success over a period of years, rather than months or quarters. As account team managers in their firms, salespeople have to _____. Multiple choice question. work with other company employees to ensure that deliveries are made on time make sure sellers get the benefits they expect from a selling product coordinate the activities in their firms to resolve customer problems realize that a salesperson's job ends when a customer places an order Raunak is a farmer who is struggling because his plants arent getting enough nutrients, so they arent growing well or producing bountiful crops. what could raunak do to increase his crop yield?