If x = 34, y = 53, and the measure
of AC = 4 units, what is the difference in length between
segments AB and AD? Round your answer to
the nearest
hundredth.

A- 0.74
B- 1.17
C- 1.64
D- 2.14

If X = 34, Y = 53, And The Measureof AC = 4 Units, What Is The Difference In Length Betweensegments AB

Answers

Answer 1

9514 1404 393

Answer:

  D  2.14

Step-by-step explanation:

The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.

  Sin = Opposite/Hypotenuse

  sin(34°) = AC/AB   ⇒   AB = AC/sin(34°)

  sin(53°) = AC/AD   ⇒   AD = AC/sin(53°)

The desired difference in lengths is ...

  AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446

The difference in lengths is about 2.14 units.

If X = 34, Y = 53, And The Measureof AC = 4 Units, What Is The Difference In Length Betweensegments AB

Related Questions

Mr. Cooper's garden is 28 feet long and 4 feet wide.
What is the area of his garden?

Answers

Answer:

112 feet squared

Step-by-step explanation:

Just multiply the length and the width then you get the area which is 112 ft squared.

The answer is 112 because area you always multipy

Prove that:
Question 1 :
[tex]\sqrt{\frac{1-sin\theta }{1+sin\theta} } =sec\theta -tan\theta[/tex]

Question 2 :
[tex]\sqrt{\frac{1+cos \theta}{1-cos\theta} } +\sqrt{\frac{1-cos\theta}{1+cos \theta} } =2cos \:ec\theta[/tex]

Answers

Answer:

Identities used:

1/cosθ = secθ1/sinθ = cosecθsinθ/cosθ = tanθcosθ/sinθ = cotθsin²θ + cos²θ = 1Question 1 (1 - sinθ)/(1 + sinθ) =         (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) = (1 - sinθ)² / (1 - sin²θ) = (1 - sinθ)² / cos²θ

Square root of it is:

(1 - sinθ)/ cosθ = 1/cosθ - sinθ / cosθ = secθ - tanθQuestion 2

The first part without root:

(1 + cosθ) / (1 - cosθ) = (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ) (1 + cosθ)² / (1 - cos²θ) = (1 + cosθ)² / sin²θ

Its square root is:

(1 + cosθ) / sinθ =1/sinθ + cosθ/sinθ =cosecθ + cotθ

The second part without root:

(1 - cosθ) / (1 + cosθ) = (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) = (1 - cosθ)²/ (1 - cos²θ) =(1 - cosθ)²/sin²θ

Its square root is:

(1 - cosθ) / sinθ = 1/sinθ - cosθ / sinθ =cosecθ - cotθ

Sum of the results:

cosecθ + cotθ + cosecθ - cotθ = 2cosecθ

Step-by-step explanation:

Question 1:

Consider the left-hand side

[tex] \sqrt{ \frac{ 1 - \sin\theta }{1 + \sin\theta} } = \sqrt{ \frac{ 1 - \sin\theta }{1 + \sin\theta} \times \frac{1 - \sin\theta }{1 - \sin\theta } }[/tex]

[tex] = \sqrt{ \frac{ {(1 - \sin\theta )}^{2} }{(1 - { \sin}^{2}\theta) } } = \frac{1 - \sin\theta }{ \cos\theta} [/tex]

[tex] = \frac{1}{ \cos\theta} - \frac{ \sin\theta}{\cos\theta } [/tex]

[tex] = \sec\theta \: - \tan\theta[/tex]

Question 2:

The left-hand side can be rewritten as

[tex] \sqrt{\frac{1+ \cos \theta}{1- \cos\theta} \times \frac{1+ \cos \theta}{1+ \cos \theta} } \: +\sqrt{\frac{1- \cos\theta}{1+ \cos \theta} \times \frac{1 - \cos \theta}{1 - \cos \theta} }[/tex]

[tex] = \frac{1 + \cos\theta}{ \sin\theta} + \frac{1 - \cos\theta}{ \sin\theta}[/tex]

[tex] = \frac{2}{ \sin\theta } = 2 \csc\theta[/tex]

42minutes:5hours in ratio form​

Answers

Answer:

31:150

Step-by-step explanation:

First of all we convert the hours into minutes:

5×60=300

which gets us 42:300, which we can simplify to:

31:150

and is 31 is prime and 150 can't be divided into it without a remainder, it is in it's simplest form and it is the answer.

Answer:

7:50

Step-by-step explanation:

The ratio:

 42 min

-------------- can be rewritten in the equivalent

  5 hours

 42 min

--------------- = 42/300 = 7/50 or 7:50

300 min

Select the correct answer.
Which statement about this system of equations is true?


A. The system has no solution.
B. The system has a unique solution at (0,6).
C. The system has a unique solution at (0,-4).
D. The system has infinitely many solutions.

Answers

The statement that is true on the system of equations is that A. The system has no solution.

Why is there no solution ?

There is no solution in the given system of equations because the lines formed by the equations are parallel to each other. This means that they will never intersect with each other.

A solution is only derived at the points where the systems of equations intersect with each other. As there is no point where these equations intersect, it means there is no solution for these system of equations.

Find out more on system of equations at https://brainly.com/question/13729904

#SPJ1

Identify the root of f(x)=-2(x+9)(x-1)

Answers

Answer:

(-9,0)  and (1,0)

Step-by-step explanation:

Pleasssee helppp and thankkkss!!!

Answers

1: 2/8. 2: 4/14. 2/7 is greater then 1/4

Find the area of the following color regions?

Answers

Answer:

Step-by-step explanation:

Estimate 91 +94 by first rounding each number to the nearest ten.

Answers

91 +94. 91 is rounded to 90 and 94 is rounded to 90.
90+90=180

Answer:

about 180

Step-by-step explanation:

(when rounding, numbers 0-4 "stay" meaning you'd round down. If the numbers are 5-9, you round up)

91 rounded to the nearest ten would be 90

94 rounded to the nearest ten would be 90 as well

So, 90 + 90 = 180

Technically though, 91+94 = 185. So rounding this to the nearest ten would be 190.

Do what you will :)

It's Lila's turn to host movie night, and she's picking movies to rent. Flick City Digital Movies is having a sale, so Lila rents 5 movies for a total of $24.75. Each movie costs the same amount.

Answers

$4.95 is the cost per movie. if that’s what it was asking?

Liam Brought 5/8 Pound of cherries. Harrison Brought more cherries than Liam. Which could be the amountOf cherries that Harrison brought ?

Answers

The amount of cherries bought by the Harrison is 62.5 pounds.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

The amount of cherries bought by the Harrison should be more than the cherries bought by the Liam which is 5/8. Thus, The amount of cherries bought by the Harrison is more than the 5/8 or 62.5 pounds of cherries percent.

The cherries bought by the Liam is 5/8 pounds

The cherries bought by the Harrison is more than the Liam.

As in the problem the number of cherries bought Harrison (let) should be more than the cherries bought by the Liam (let ). Therefore,

H > L

As we know that the number of cherries bought by the Liam is 5/8 pounds. Keep the value of  in the above equation, we get,

H > 5/8

This equation can be rewritten in the percentile form as,

h > (5/8) * 100 %

h > (5/2) * 25 %

h > 62.5 %

Hence, The amount of cherries bought by the Harrison is more than 5/8 pounds or 62.5 pounds of cherries percent.

To learn more about fraction visit : brainly.com/question/10354322

#SPJ4

The planet Mercury travels 180,600 miles in its orbit during the 7 hours that make
up a typical school day. Find the unit rate.

Answers

Answer:25800 for 1 hour

Step-by-step explanation:

ewasfzafsagds

Find the slope between (3,-2) (-4,1)

Answers

Answer:

- [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Change in y over the change in x.

(3,2)(-4,1)

The y values are 1 and 2.

The x values are -4 and 3.  

You find the change by subtracting.

[tex]\frac{1--2}{-4-3}[/tex] = [tex]\frac{1+2}{-7}[/tex] = [tex]\frac{3}{-7}[/tex]

Can be written - [tex]\frac{3}{7}[/tex]

Analyzing
K
Which statements correctly describe the properties of heat? Select all that apply.
A. Heat is an essential component of life on Earth.
B. Heat is energy that flows from one object to another.
%
4
&
Prt Scna

Answers

Thus , Heat moves from a hotter object to a colder one, which accurately sums up the properties of the heat equation. Energy moves from one item to another in the form of heat.

What is equation?

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

Here,

Heat's characteristics

The direction of this transmission is always determined by the temperature differential between the bodies.

To achieve an equilibrium temperature, heat is transferred from the hotter to the cooler body.

As a result of the fact that a body and its surrounds are at different temperatures, we can infer that heat is the energy that is transferred between them.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

6 is 20% of what number

I don’t really need the answer but I have to do a lot of these so I need like instructions on how to figure out the answer

Answers

Probably the easiest way to understand is to make 2 ratios, then cross-multiply.

20 = 100% of 20, so

6/x = 20/100
Then cross multiply
600 = 20x
x = 30 percent

——————

You can also divide the part by the whole:
6/20 = 0.3, then multiply that by 100 to get the percent. 0.3 x 100= 30 percent.

Use which ever one makes the most sense to your brain.

Let me know if you have questions about this process, and I’ll happily help.

can someone anyone help me with my hegaty maths work
I'll post the answers on here you just answers them ​

Answers

Answer:

sure

Step-by-step explanation:

Answer:

okey I'm not sure but

I can try to help u...

Simon wants to drive 450 miles in 12 hours. He knows that stopping for breaks will take a total of 3 hours. What should be his average speed in miles per hour?


50

30

45

38​

Answers

Answer:

it's 50 g

Step-by-step explanation:12-3=9 so u divide 450 by 9 and u get 50[][][][][][]brainliest?

Can someone answer the division questions?

Answers

Answer:

The answer for the first one is 5 2/5

The answer for the second one is 3 1/7

The last answer is 3

Step-by-step explanation:

how do i do this problem?

Answers

Answer:

Step-by-step explanation:

An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A

Answers

The equation of the magnitude of the force applied at the back of otter is F is (P+P0)A F is ( P + P 0 ) A .

What does the term magnitude of the force mean?

The amount that encapsulates the force's power is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude may be thought of as simply the "value" or "amount" of any physical quantity.

The surface area of the otter's back is A = 0.55 m2.

The fluid pressure at the depth of the otter is P = 11500 Pa.

Thus, the equation of the magnitude of the force applied at the back of otter is F=(P+P0)A F = ( P + P 0 ) A .

The complete question is

An otter is swimming in the deep area of his tank at the zoo. The surface area of the otter's back is A = 0.55 m2. The fluid pressure at the depth of the otter is P = 11500 Pa.

Write an equation for the magnitude of the force F on the back of the otter in terms of the pressure P and the atmospheric pressure P0.

To learn more about surface area refer to:

https://brainly.com/question/1297098

#SPJ4

Ellis purchased $74.62 worth of
party supplies. He paid with at
$100 bill. How much change
does he receive?

Answers

Answer:25.38

Step-by-step explanation:

25 dollars and 38 cent

Write an equation of the line passing through the point (1,8) and parallel to y=−3x+10

Answers

The equation of the line is 3x + y - 11 = 0.

The slope-intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

First we find the slope of the line y=-3x+10 by placing it into slope-intercept form:

y = -3 x + 10

Therefore, the slope of the line is m= -3

Now since the equation of the line with slope m passing through a point

(x₁ ,y₁) is y-y₁ = m(x-x₁)

Here the point is (1,8) and slope is m= -3, therefore, the equation of the line is:

y - 8 = -3(x - 1)

y - 8 = -3x +3

3x + y - 11 = 0

Hence, the equation of the line is 3x + y - 11 = 0.

To learn more about slope-intercept visit : brainly.com/question/19824331

#SPJ4

Fine the measure of the arc or angle indicated

Answers

Answer:

Step-by-step explanation:

? = 1/2( big ∠ - small ∠)

? = 1/2(184 - 84)

? = 1/2(100)

? = 50 °

GIVING BRAINLIEST AND 50 POINTS

Answers

Answer:

2x + 2

Step-by-step explanation:

Combine all the like terms:

-5x + 7x -12 + 14 = 2x + 2

Answer:

2x + 2

Step-by-step explanation:

(- 5x - 12) + (14 + 7x) ← remove parenthesis

= - 5x - 12 + 14 + 7x ← collect like terms

= (- 5x + 7x) + (- 12 + 14)

= 2x + 2

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

A) -2 - i√3 , -2 + i√3

Step-by-step explanation:

Solve using quadratic formula

x² + 4x + 7 = 0

The Almighty Formula

= -b ± √b² - 4ac/2a

Where ax + bx² + c = 0

From the above question

a = 1, b = 4, c= 7

Hence,

-4 ± √4² - 4 × 1 × 7/2 × 1

-4 ± √16 - 28/2

=( -4 ± √-12)/2

Since

b² - 4ac < 0

We have two complex roots

Simplifying

( -4 ± √-12)/2

= -4/2 ± √-12/2

= -2 ± 2√3i/2

= -2 ± √3i

Therefore,

-2 - √3i , -2 + √3i

or

-2 - i√3 , -2 + i√3

Option A , is the correct answer

Peyton joins a video game club for a
one-time lee of $12. Each video game
that is rented is $2 Which equation
represents the relationship between the
number of video games that Peyton
rents and the total cost c?

Answers

answer:

2x + 12 = c

step-by-step explanation:

one time fee = $12each game = $2let x be the number of gamesc = total cost

2x + 12 = c

HELP I HAVE 25 POINTS AND I WILL MARK U AS BRAINLIST A granola recipe calls for 3 cups of oats, 1 cup of almends. 1 cup of pecans, and 1 cup of dried fruit. What is the ratio of fruit to eats? Yolanda says that for every 2 cups of nuts, there are 2 cups of fruit. Explain why her answer is incorrect and give the correct ratio of nuts to fruit. Explain your answer.​

Answers

Answer:

Yolanda's answer is incorrect because the recipe calls for 1 cup of almonds, 1 cup of pecans, and 1 cup of dried fruit, which totals 3 cups of nuts. The correct ratio of nuts to fruit in this recipe is 3:1. This means that for every 3 cups of nuts, there is 1 cup of fruit.

Yolanda's answer is incorrect because the ratio of fruit to nuts in the granola recipe is not 2:2. Instead, the ratio of nuts to fruit in the granola recipe is 3:1. This can be determined by dividing the number of cups of each ingredient by the smallest number of cups. In this case, there are 3 cups of oats and 1 cup of fruit, so the ratio of oats to fruit is 3:1. Similarly, there are 1 cup of almonds and 1 cup of pecans, for a total of 2 cups of nuts, and 1 cup of fruit, so the ratio of nuts to fruit is 2:1. The correct ratio of nuts to fruit in the granola recipe is therefore 2:1.

URGENT PLEASE HELP SERIOUS ANSWERS ONLY verify 2 csc (2x)=1+ tan^2 x / tan x

Answers

Answer:

Use the Pythagorean identity

tan2x+1=sec2x

to start the simplification on the left side.

Step-by-step explanation:

・ᗜ・

If f(x) = x5 - 1, g(x) = 5x², and h(x) = 2x, which expression is equivalent to [go fo h](9)?
O2(5(95-1)²)
O2((5-92)5-1)
O5((2-9)5-1)²
O(5(2-9)2)5-1

Answers

The response to the given domain range questions is [go f oh]. (9) = 5(18^2 - 1 )

What are the domain and range?

Domain and range. A function's authorised range of values is known as its domain. The x values in a function like f make up this set (x). A function's range is the collection of values that it can take as input. When we enter an x value, the function outputs this set of values.

According to the given information:

f(x) = x^5 – 1, g(x) = 5x^2, and h(x) = 2x

[g o f o h](9)=g(f(h(9))

Let's find h(9) first

h(x)= 2x

h(9)= 2(9) =18

Now plug in 18 for h(9)

[g o f o h](9)=g(f(h(9)) = g(f(18))

now we find f(18)

f(x) = x^5 – 1, f(18)= 18^5 -1

Now we plug in 18^5 -1 for f(18)

[g o f o h](9)=g(f(h(9)) = g(18^5 -1)

Plug it in g(x)

g(x)= 5x^2

To know more about domain range visit:-

brainly.com/question/28135761

#SPJ1

I need help, I don’t know what comes next I’m confused???

Answers

Answer:

x^2-9

Step-by-step explanation:

-3 + 3 = 0 so the x terms cancel out.  This leaves you with only x^2-9

PLEASE HELPPP !!
Given the diagram below, which statement is true?

Answers

Answer:

C. ∠1 and ∠3 are vertical angles and congruent.

Other Questions
Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant Anika added a picture to a cell in an Excel spreadsheet. She wants to permanently make the picture smaller. Whatis the most efficient way to adjust the size of the picture?compressing the picture in the Picture Tools tabO changing the size of the cell where the picture was inserteddouble-clicking the picture to click and drag a corner to the appropriate sizeo editing the size of the photo in a different program and reinserting the picture Which items represent examples of Adam Smiths "invisible hand" at work?Correct Answer(s) 1.) An auto manufacturer uses imported leather for the seats in its vehicles. 2.) A tailor who makes suits for clients by hand buys his own suits off the rack.Incorrect Answer(s) 1.) A cafe owner discards expired food, to avoid a fine from the health department. 2.) A gas station owner closes on certain days of the year, for religious reasons. Which best describes why George Washington was against forming political parties?emphasis on wealth instead of securitydesire to start conflicts with other nationsability to understand needs of the entire countryloyalty to party instead of to nation 3. Candy previously sold for $1.60 per pound is now offered for 48 cents in a 6 ouncepackage. What is the ratio of former price to present price?? Use the binomial theorem to expand expressions 1-4 and answer question 5.1. (3x^2 +y)^32. (5x^4 +2y^5)^43. (x^3 +4y^2)^54. (x-2y)^65. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5 Can u please help......................... What is one way to increase how many units of a good people buy? Citizens elect leaders who form a council to make decisions The diameter of a circle is 16 centimeters. How can I calculate the area? PLEASE HELP!!!!!!!!!!!! 10 POINTS AND BRAINLIEST!!!!!Identifica las palabras llanas. a. desnutricin, reducir b. controlar, diversidad c. haba, deterioro d. abatir, mitigar Use atomic masses to demonstrate that the balance equation for the formation of iron(III) chloride obeys the law of conservation of mass. Fe + Cl2 FeCl3 How are Electoral College votes distributed?OA. The result of the primary election or caucus in each state determines the number of ElectoralCollege votes for each major party.OB. Electoral College votes are distributed equally among the states, with each state getting the samenumber of electors regardless of population.C. Each state gets Electoral College votes equal to the number of representatives and senators it hasin the US Congress.D. After each US Census, the population of each state is divided by 538 in order to determine itsnumber of Electoral College votes. Find the rate of change for this linear function. y = 5x - 1 Find the initial value of the linear function Y=5x+2 Source: John L. O'Sullivan, "Annexation, The United States Magazine and Democratic Review, Vol.XVII, July, 1845Note: Considered the first person to use the term "manifest destiny", O'Sullivan describes his viewsabout the territory of Texas.It is time for opposition to the Annexation of Texas to cease.... Texas is now ours.... Let theirreception into the family' be frank, kindly, and cheerful.... (O)ther nations have undertaken ...hostile interference against us, ... hampering our power, limiting our greatness and checking thefulfillment of our manifest destiny to overspread the continent allotted by Providence (God) for thefree development of our yearly multiplying millions. California will, probably, next fall away from(Mexico).... Imbecile and distracted, Mexico never can exert any real governmental authority oversuch a country.... The Anglo-Saxon foot is already on (California's) borders ... armed with the ploughand the rifle, and marking its trail with schools and colleges, courts and representative halls, millsand meeting-houses.... All this will happen) in the natural flow of events....What is the central idea of this document?cite evidence from text.According to this document was the United States justified in going to war with Mexico? (PLS HELP ASAP WILL DO BRAINLIEST IF RIGHT AND GOOD POINTS) A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}(a) Calculate the mean and MAD for each type of monkey.(b) Calculate the means-to-MAD ratio for the two types of monkeys. (c) What inference can be made about the weight of both types of monkeys? Explain.when answering please seperate the answers with either 1, 2, 3 or a, b, c! thank you (Pension Expense, Journal Entries, Amortization of Loss) Gottschalk Company sponsors a defined benefit plan for its 100 employees. On January 1, 2017, the companys actuary provided the following information.Accumulated other comprehensive loss (PSC) $150,000Pension plan assets (fair value and market-related asset value) 200,000Accumulated benefit obligation 260,000Projected benefi t obligation 380,000The average remaining service period for the participating employees is 10 years. All employees are expected to receive benefits under the plan. On December 31, 2017, the actuary calculated that the present value of future benefits earned for employee services rendered in the current year amounted to $52,000; the projected benefit obligation was $490,000; fair value of pension assets was $276,000; the accumulated benefit obligation amounted to $365,000. The expected return on plan assets and the discount rate on the projected benefit obligation were both 10%. The actual return on plan assets is $11,000. The companys current years contribution to the pension plan amounted to $65,000. No benefits were paid during the year.Instructions(a) Determine the components of pension expense that the company would recognize in 2017. (With only one year involved, you need not prepare a worksheet.)(b) Prepare the journal entry to record the pension expense and the companys funding of the pension plan in 2017.(c) Compute the amount of the 2017 increase/decrease in gains or losses and the amount to be amortized in 2017 and 2018.(d) Indicate the pension amounts reported in the financial statement as of December 31, 2017. Find the midpoint for (4,3) and (-2,1) From the viewpoint of an alien astronomer, how does Jupiter affect observations of our Sun?a) It causes the Sun to move in a small ellipse with an orbital period of about 12 years.b) It makes the Sun periodically get somewhat brighter.c) It makes the Sun appear dimmer when viewed with infrared light.d) It causes the Sun to move in a small ellipse in the sky, with the same ellipse repeated every night. In the passage, the views expressed by which of the following most clearly support Margolis argument about the boy wonder myth (paragraph 3, sentence 2)?A. Drew Houston, founder of Dropbox (paragraph 1, sentence 8)B. will.i.am of the rock band the Black Eyed Peas (paragraph 1, sentence 12)C. Lesley Chilcott, director of the video What Most Schools Dont Teach (paragraph 1, sentence 16)D. Gabe Newell, founder of Valve (paragraph 2, sentence 5)E. Vanessa Hurst, founder of Girl Develop It (paragraph 4, sentence 3)