A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity based on sin 0 and cos 0. Start with
what you know about the relationship among a (adjacent side), o (opposite side), and h (hypotenuse). Using the diagram
and the labeled components, define sine and cosine. Incorporate these definitions in your equation. In your response,
include all steps and calculations.
h

B. With respect to 0, the adjacent side of the triangle has a length of 12 cm and the opposite side has a length of 10 cm.
Find the values of the hypotenuse, h, 0, and e. Then, use these values to confirm the Pythagorean Identity for this
triangle.

Answers

Answer 1

Answer:

Hopefully this link helps because i can't type all your information out

https://socratic.org/answers/461013

Step-by-step explanation:

MARK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzz

Related Questions

What is the length of AC?

Answers

The length of AC 90°

the position vectors of points A and B of a line AB are (1 2) and (5 8) respectively . find the position vector of mid poind M of AB.​

Answers

Answer:

(3,5)

Step-by-step explanation:

Mid-point = (1i+2j+5i+8j)/2

=(6i+10j)/2

=3i+5j

=(3 5)

A political poll finds that 305 out of 600 (50.8%) of a random sample of likely voters are in favor of the Democrat over the Republican prior to a recent local election between the two candidates. The p-value from a two-sided test of whether the population proportion is different than 50% is 0.714.

1. Which of the following could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate?

a. (46.8%, 54.8%)
b. (50.1%, 58.0%)
c. (53.0%, 61.0%)

2. When should you use the median as a summary statistic instead of the mean?

Answers

Answer:

1)

Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

Step-by-step explanation:

Given the data in the question;

Null hypothesis             H₀ : p = 50% or 0.5

Alternative hypothesis Hₐ : p ≠ 50% or 0.5

given that p-value = 0.714

The p-value is large, so we can not reject Null hypothesis.

Thus, p = 50% or 0.5

Meaning that, the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 )

Thus, Option A.(46.8%, 54.8%) is the correct Answer.

Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ),  (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.

2)  

When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.

A film on TV starts at 8:30 pm. If the film takes 136 minutes, at
what time does it end?

Answers

Answer:

10:46

Step-by-step explanation:

8:30 + 136 min.

= 8:30 + 2:16

= 10:46

P and q are points on the line 2y-5x=10

Answers

Answer:

[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]

A​ "Cobb-Douglas" production function relates production ​(Q​) to factors of​ production, capital ​(K​), labor ​(L​), raw materials ​(M​), and an error term u using the equation ​,
Q= λK^β1L^β2M^βe^μ

where ​λ,β1,β2 ​and β2 and are production parameters. Suppose that you have data on production and the factors of production from a random sample of firms with the same​ Cobb-Douglas production function. Which of the following regression functions provides the most useful transformation to estimate the​ model?

a. A linear regression function.
b. A logarithmic regression function.
c. An exponential regression function.
d. A quadratic regression function.

Answers

Answer:

The correct option is b. A logarithmic regression function.

Step-by-step explanation:

Given:

Q= λK^β1L^β2M^β3e^μ ………………………. (1)

Equation (1) can be transformed into a logarithmic regression function by taking natural log of both sides as follows:

lnQi = lnλ + β1lnKi + β2lnLi + β3lnMi + μInei ……………….. (2)

Where i = 0, 1, 2….n observations.

Let lnλ = β0 and let μIne = εi and then substituting them into equation (2), we have:

lnQi = β0 + β1lnKi + β2lnLi + β3lnMi + εi ......................(3)

Equation (3) is the logarithmic regression function to estimate the model.

Therefore, the correct option is b. A logarithmic regression function.

which of the following inequities are true?
Select the TWO correct answers.

A: |4| > 7
B: |-4| < 4
C: |-7| > |4|
D: |7| > |-7|
E: |-4| < |-7|

Answers

Answer:

c and e ................

Given lim f(x) = 4. What is lim
X-0
X-0
x5 [F(x)]* ?
оо
O 4
O 64
128

Answers

Answer:

64

Step-by-step explanation:

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

The solution is : 64 is limit.

What is limit?

In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

here, we have,

Given lim f(x) = 4.

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

Hence, The solution is : 64 is limit.

To learn more on limit click:

https://brainly.com/question/24169952

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Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.
Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 − 100.


Determine how many, what type, and find the roots for f(x) = x^3 − 5x^2 − 25x + 125.

Answers

Answer:

A) - Quartic polynomial

- has four roots

- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) - Cubic polynomial

- has 3 roots

- roots are; f(x) = (x - 5)²(x + 5)

Step-by-step explanation:

A) f(x) = x⁴ + 21x² − 100

The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.

Factorizing this polynomial gives;

f(x) = (x² + 25)(x² - 4)

Equating to zero, we can find the roots. Thus, the roots are;

x = 5i

x = -5i

x = 2

x = -2

Thus, the completely factorized polynomial is;

f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) f(x) = x³ − 5x² − 25x + 125

The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.

Factorizing this polynomial gives;

f(x) = (x² - 25)(x - 5)

Equating to zero and Factorizing gives;

x = 5

x = -5

x = 5

Thus, completely factorized with the roots is;

f(x) = (x - 5)²(x + 5)

pls help. due tmrw. will give brainliest​

Answers

Answer:

0

Step-by-step explanation:

PLEASE HELP MAX POINTS ONE OF THE LAST ASSIGNMENTS IN THE SEMESTER, I HAVE 4 HOURS TO FINISH MY HOMEWORK
can complementary angles be supplementary?

be sure to include a drawing of proof, look at screenshot for more details

Answers

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary

6,791,240 6,781,204 which one are greater​

Answers

Answer:

6,791,240>6,781,204

Step-by-step explanation:

Write the algebraic expression: 4p times the sum of 7 and 5p​

Answers

Answer:

4p(7 + 5p)

Step-by-step explanation:

4p times the sum of 7 and 5p​

4p(7 + 5p)


11. You conduct a random
sample of 250 of UCLA's entering freshmen and get an average GPA of
a. Find a 95% confidence interval for the average GPA of all of UCLA's entering freshmen.
b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval
support this claim? Explain your reasoning

Answers

Answer:

a) The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b) 4.05 is not part of the confidence interval, which means that it does not support this claim.

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{0.75}{\sqrt{250}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.21 - 0.1 = 4.11

The upper end of the interval is the sample mean added to M. So it is 4.21 + 0.1 = 4.31

The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).

b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval support this claim?

4.05 is not part of the confidence interval, which means that it does not support this claim.

Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number

Answers

it would be a rational number

For the parallelogram if m<2=4x=3x-15, find m<3. The diagram is not to scale.

Answers

Answer:

159

Step-by-step explanation:

Diagonal angles of a parallelogram are equal.

Therefore, 3x-15 = 4x-27.

3x - 15 = 4x - 27

4x = 3x + 12

x = 12

Angle 4 = 21 degrees, because 36 - 15 = 21.

All angles in a parallelogram add up to 360 degrees.

360 - 42 = 318

318 / 2 = 159

The angle measure is 159 degrees.

A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [ ]

Answers

Answer:

-2,-5 is the value. The correct Answer

evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2

Answers

Answer:

[tex]468in^{2}[/tex]

Step-by-step explanation:

L=12

W=9

H=6

2lw+2lh+2wh=468

Many think ts, "oh LWH" well actually lwh is volume

The brown paper required to wrap the package is 468 square inches.

What is a cuboid?

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The diagram shows the package that is cuboid in shape.

The dimensions of cuboid are

The length of the cuboid = 12 in

The wide of the cuboid = 9 in

The height of the cuboid = 6 in

The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,

[tex]A=2(lw+hl+hw)[/tex]

⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]

⇒ [tex]A=2[108+72+54][/tex]

⇒ [tex]A=2[234][/tex]

⇒ [tex]A=468[/tex]

Hence we can conclude that the brown paper required to wrap the package is 468 square inches.

Learn more about cuboid here

https://brainly.com/question/26403859

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A train car has 23 rows that hold 4 seats each. If 3 train cars are coupled together, how many people can the train hold?
O 34 people
O 92 people
276 people
O 2,760 people

Answers

I believe the answer is 92 people

Answer:

276 is the answer

Step-by-step explanation:

23x4=92

92x3=276

What is the area of this figure?

Answers

Starting with the quarter of a circle
The area of the circle is pi r^2
Area = 113.04 but the quarter of the circle =113.04 / 4= 28.26

Now for the first rectangle,
The area is Lxw
(11+3) x(4) = 56

For the second rectangle,
The area is 14x7 =98

The total area will be 98+56+28.26
= 182.26
161.068525

First cut the figure 3 pieces
To find the smaller rectangle multiply 7 by 4 and get 28
Then multiply 18 by 7 and get 126
Then find the area of the quarter of a circle to find that first fine the area of the circle if it was whole, the formula is A=pi r^2 when you put the numbers into that you get 28.27433. Then divide that by 4 to get the area of the quarter circle which is 7.0685825
Last add all of the answers together.

28+126+7.0685825= 161.068525

I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!

Find the area of the polygon:

Answers

Answer: i can give you tips of how to find the area of a polygon.

OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

Step-by-step explanation:

And you have to add all the sides of the lengths of the sum of the polygon

Plz help me well mark brainliest if correct,.........??

Answers

Answer: A

Step-by-step explanation:

Because to find the area I multiplied and got 72 then I looked up how to find them perimeter

Answer:

both A and B

Step-by-step explanation:

a's perimeter is 36 (6+6+12+12)

b's perimeter is 36 (4+4+14+14)

c's perimeter is 34 (9+9+8+8)

all the options equal to 72 sq. centi. if u multi

6*12=72

4*14=72

9*8=72

I need help with all of this...

Answers

Answer:

sorry it might be a bit hard to read but basically when you go up the scale you will move the decimal point over to the right and add zeros. when you are going up the scale you are going to move the decimal point over to the left and take away zeros depending on how many step you go up or down

Accounting
A company borrowed $68000 on September 1st, 2020. Principle and interest at 12% will be paid on August 31, No accrual was made for interest in 2020. What is the adjustment for interest.

Answers

Answer: $2,720

Step-by-step explanation:

Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.

In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:

Total interest = 12% * 68,000

= $8,160

Monthly rate is:

= 8,160 / 12 months

= $680

There are 4 months in 2020 so the interest for 2020 is:

= 680 * 4

= $2,720

4
3
3
2+
-4
-3
-2 -1
1
1
2
3
4
-1+
-2+
-3
-4
What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

rises 2 units and east 3 units

rise / run = 2 / 3

Select the correct answer,
Which risk should be avoided for short-term investments?
OA
market risk
OB. liquidity risk
Ос.
credit risk
OD.
business risk

Answers

Answer:

b

Step-by-step explanation:

liquidity risk. because the shorter the term the lesser the liquidity.

find the side length x on the right triangle 18 9 x

Answers

Answer:

answer is 15.6

Step-by-step explanation:


Cher works in retail sales. Her salary is $400 plus 15% commission on weekly
sales.
Find her sales for the week if her wages for the week is $940.

Answers

Answer:

Sales of the week = 3600

Step-by-step explanation:

Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly  sales.

To find - Find her sales for the week if her wages for the week is $940.

Solution -

Let us assume that,

Her sales of the week = x

Now,

Given that, Her salary is $400 plus 15% commission on weekly  sales.

So,

Equation of salary becomes

Salary = 400 + [tex]\frac{15}{100}x[/tex]

i.e.

Salary = 400 + 0.15x          .......(1)

Now,

Given that,

her wages for the week is $940.

i.e. Salary = $940

Put in equation (1), we get

940 = 400 + 0.15x

⇒0.15x = 940 - 400

⇒0.15x = 540

⇒x = 3600

∴ we get

Sales of the week = x = 3600

find 2 rational numbers between -2/3 and -7/3​

Answers

Step-by-step explanation:

that is right answer and correct

Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||

Answers

Answer:

[tex]||AB|| = 11.8743[/tex]

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Distance from A(-8,-3,-2) and B(-4,8,0)

[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]

[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]

[tex]||AB|| = 11.8743[/tex]

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