URGENT

What else would need to be congruent to show that ABC= DEF by the
AAS theorem?

URGENT What Else Would Need To Be Congruent To Show That ABC= DEF By TheAAS Theorem?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

It cannot be A or B because you already have both of your angles, and it cannot be C because the sides do not line up. By the process of elimination it will be D.

Answer 2

Answer:

D

Step-by-step explanation:

AAS = angle angle side

we already have the 2 angles so it cant be A or B. we need to find the equal corresponding side lengths.  C is incorrect because side BC is not corresponding to side DF. therefore, it is D. sorry im bad at explaining but i hope this helped :)


Related Questions

HELPEOEOOEOE HELP OELASDJ PLEASE

HELPEOEOOEOE HELP OELASDJ PLEASE
HELPEOEOOEOE HELP OELASDJ PLEASE

Answers

Answer:

A then B

Step-by-step explanation:

1440≈1,000, and 1,000=10^3

1000000/1440≈700, and 700≈1,000. 1,000=10^3

Is this correct if not what is it?

Is this correct if not what is it?

Answers

if x = -1 and y= -3

y= 2x-1

-3=2(-1)-1

-3= -2-1

-3= -3

if x=0and y = -1

y=2x-1

-1=2(0)-1

-1=0-1

-1= -1

if x=1 and y=1

y=2x-1

1=2(1)-1

1=2-1

1=1

if x=2 and y=3

y=2x-1

3=2(2)-1

3=4-1

3=3

SO IT'S CORRECT ❤

THANJ YOU

is the folllowing shape a square? how do you know

Answers

Answer:If it has 4 equal sides

If the angles are 90°

Hope this may helps you

Answer:

A square is characterized by

4 equal sides.Each angle measures 90°Diagonals meet and bisect each other at 90°Opposite sides are parallel and equal.Diagonals are equal.

Hope this helps ;) ❤❤❤

what is the answer to -4(2d+3)+2(-d+4)?

what is the answer to -4(2d+3)+2(-d+4)?

Answers

Answer:

-10d-4

Step-by-step explanation:

Well, you're in luck because I LOVE distributive property!!!

-4(2d+3) Multiply -4 by 2d to get -8d, and multiply -4 by 3 for -12, so the result would be -8d-12!

Then, 2(-d+4) and therefore 2 times -d (you can just say -1d) to get -2d and 2*4 would be 8 to make -2d+8!

Now you combine them: -8d-12+-2d+8

Combine like terms!

-10d-4 would be your answer.

Make a stem-and-leaf plot for each set of data.
68, 73, 66, 76, 86, 74, 61, 89, 65, 90
136, 142, 105, 147, 126, 109, 118, 111, 129, 115, 128, 138

Answers

stem-and-leaf plots for the sets of data are attached.

What is stem-and-leaf plot?

In a stem and leaf plot, the values of the data are divided into a stem and a leaf, creating a singular table. The initial digit or digits are written in stem format, and the final digit is written in leaf format.

Data can be arranged in a way that makes it simple to see the frequency of various sorts of values using a stem and leaf plot, also known as a stem and leaf diagram. It is a graph with numerical data displayed in a sequential manner. Each value of the data is divided into a stem and a leaf.

A stem and leaf plot is depicted as a customised table with each data value's initial or last digit divided into a stem and the leaf's final digit.

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Make a stem-and-leaf plot for each set of data.68, 73, 66, 76, 86, 74, 61, 89, 65, 90 136, 142, 105,
Make a stem-and-leaf plot for each set of data.68, 73, 66, 76, 86, 74, 61, 89, 65, 90 136, 142, 105,

10. The average annual expenditure on health insurance per family is shown in the following table. Annual Expenditure on Health Insurance per Family Number of Years since 2000 Average Annual Expenditure on Health Insurance (dollars) 0 983 1 1061 2 1168 3 1252 Write the equation of the line of "best fit" that most accurately represents these data. Identify what each variable represents.

Answers

Answer:

not sure hmmm

Step-by-step explanation:

the 5x5 grid shown contains a collection of squares with sizes from 1x1 to 5x5. how many of these squares contain the black center square?

Answers

Using Counting principle,

The black center square contains total 330 small squares.

We start with lowest one i.e 1 × 1

Let’s consider any one face out of six faces of cube ,

1×1 squares = 25

as one face of grid or cube is made up of 25 small squares.

2× 2 squares = 16

If we are facing difficulty in visualising then

simply we draw a 5× 5 board on paper, just as seen in above picture :

and now check 2× 2 squares.

By using R1, R2 and all columns we shall be able to draw 4 such blocks.

Again, R2,R3 and R3, R4 and R4,R5 we can easily draw 4 squares each cash .

Thus, total square count of 2× 2 squares will be

= 16

similarly, we do it for 3× 3 and 4×4 and we will get 9 & 4 respectively.

For final one 5× 5 there is one big square

So, total squares for one face will be

= 25+16+9+4+1=55

Since, there are 6 such faces for a cube then

=>55× 6= 330

Hence, total squares contain the black center square is 330.

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the 5x5 grid shown contains a collection of squares with sizes from 1x1 to 5x5. how many of these squares


Solve each equation. t-2(3-2 t)=2 t+9

Answers

The solution of the given linear equation in one variable t - 2(3 - 2t) = 2t + 9 is at t = 5.

According to the given question.

We have a linear equation in one variable.

t -2(3-2t) = 2t + 9

As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofre, the solution of the linear equation in one variable  t -2(3-2t) = 2t + 9 is given by

t - 2(3 - 2t) = 2t + 9

⇒ t - 6 + 4t = 2t + 9          (by distributive rule)

⇒ 5t - 6 = 2t + 9

⇒ 5t - 2t = 9 + 6

⇒ 3t = 15

⇒ t = 15/3

⇒ t = 5

Hece, the solution of the given linear equation in one variable t - 2(3 - 2t) = 2t + 9 is at t = 5.

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Given an activity's optimistic, most likely, and pessimistic time estimates of 2, 5, and 14 days respectively, compute the PERT expected activity time for this activity.

Group of answer choices 9 5 7 6

Answers

The PERT expected activity time for this activity is 6 days.

To compute the PERT (Program Evaluation and Review Technique) expected activity time, we can use the formula:

Expected Time = (Optimistic Time + 4 * Most Likely Time + Pessimistic Time) / 6

Using the given values, we have:

Optimistic Time = 2 days

Most Likely Time = 5 days

Pessimistic Time = 14 days

Substituting these values into the formula:

Expected Time = (2 + 4 * 5 + 14) / 6

Expected Time = (2 + 20 + 14) / 6

Expected Time = 36 / 6

Expected Time = 6

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How do I complete the complete the square I will give away best answer

How do I complete the complete the square I will give away best answer

Answers

2x^2 - 12x - 32

= 2 (x^2 - 6x - 16)
= 2 (x^2 + 2x - 8x - 16)
= 2 [x(x+2) - 8(x+2)]
= 2 (x+2)(x-8)

you don't necessarily have to randomly search for this, remember that in a quadratic equation ax^2 + bx + c and you need to factor a polynomial, find 2 numbers that add up to b and have the product of a x c.

Numeric entry e-tering a numeric answer. These numeit entry fieles can appear with a veriefy of seitings, such as the body sf a paragraph or a teble. Complere rhe following stanemoot to sas numark ancry in actiov. The surn of 1,400 and 3,000 is Can I enter negative numbers and declmals? however, youm need to enter a minus sign to represent a negative nutber, ar a decimal to represent a noninteper. Compiefe fhe fowsing tabie fo see now cecimas and negarive favoers work. How do 1 lanow if 1 got the answer right? Once you have submitted your answers for an entire problem, your individual anseers wil be marked elther cortedt with a green check or lncorrect with a red X. At this point, you msy select the entery fleid to reveal the comect answer; selecting it again will hide the correct answec. True of rase: The cerrect answer ts a numeric entry feid wal a comaccaly be pcputated in the correct faid arter you cpen the enptanations. True False Is entering 20,000,000 the same as entering 20 million? Pay careful astention to the instructions gNen in the prediem for how to enter your answer. Far wampe, if a questicn specines thar yeu give your the field in a paragraph. Complefe fhe foloming fab'e fo demonswafe your enderstwising of chis A case headers. What if my answer doesn't fit In the space I'm glven? If you find yourseif trying to enter a numiar that tha flaid coes not a ow (eithar because thare is not anough space or because it dees not acospt decmal values), eread the inseructisns to make sure yeu are antarng the number in the correct rermar. Complere the following statement to domonstrate your undortanding of in-line unite. The 8um or se0,Ded and so0,000 is milion. What about currency? You do not need to enter the symbois for currency. For exampia, if you enter d doocuo0 inco a numenc antry ceil that daas with currency and than need to enter declmas as well. Complere rhe folkuing staramost no ses now curency warks. If rou sfart out with $2.55 and find an addilonel 54.65 in your pocket, you will have a total of What about percentages? As with che curency symbo, ir a perecarage symbsi 15 recured, It wil autemancaly apsear aisngside your numenc entry after you exil tre numerte zypese as 65%. (Note: Mthouph 65% can also be represented as 0.65, if you were to enter 0.65 into a field that automaticaly comerts to percencages, this would be fomatted as 0.65% and would be graded as incerrect, because 0.65% is not equal to 65%.) Complete the following statement to see how percentages work. As a percentage, \$22.00 ia equal tD of $40.00.

Answers

The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

Can I enter negative numbers and decimals?

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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What is the following product?

What is the following product?

Answers

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

1 pound. Of apples for 2. 15or 3 pounds of apples for 5. 76 which one has the better deal

Answers

The cost per pound is less in the first one. Hence price -wise, the first deal is better.

The pound or pound-mass is the unit of mass used in common British, Imperial and American measurement systems. Various definitions are used; the most common today is the international pound, legally defined as 0.45359237 kilograms, divided into 16 pound ounces. The international standard symbol for the avoirdupois pound is lb; another symbol is lbm.

The kilogram  is a unit of mass in the International System of Units (SI) with the unit symbol kg. It is a unit of measurement widely used in science, engineering, and business around the world and is often abbreviated colloquially as kilogram. It means "kilogram".

kilograms are defined in terms of seconds and meters, both based on fundamental physical constants. This allows properly equipped metrology laboratories to calibrate mass-measuring instruments, such as Kibble balances, as the primary standard for determining exact masses in kilograms.

Given that:

1 pound of apples = 2.15

3 Pound of apple = 5.76.

From this we can say that the 3 pound of apple is a better deal than the first one.

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(1 point) a rectangular swimming pool is 8 ft deep, 20 ft wide and 20 ft long. if the pool is filled to 1 ft below the top, how much work is required to pump all the water into a drain at the top edge of the pool? (use 62.4 lb/ft2 for the weight density of water.)

Answers

This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.

What is amount?

Amount is a numerical value that refers to the total sum of money or other type of payment due. It is used to quantify the size of a transaction, the cost of goods or services, or any other type of financial transaction. Amounts can be expressed in a variety of different currencies, and they can be negative (owing) or positive (owed).

To calculate the amount of work required to pump all the water from the rectangular swimming pool into a drain at the top edge, we must first calculate the volume of the water in the pool. Volume is calculated by multiplying the length, width, and depth of the pool, which in this case is 20 ft x 20 ft x 8 ft = 3,200 cubic ft. Since the pool is filled to 1 ft below the top, the volume of water is 3,200 ft3 - 20 ft3 = 3,180 ft3.

Next, we must calculate the weight of the water, which is the volume multiplied by the weight density of water (62.4 lb/ft3). The weight of the water in the pool is 3,180 ft3 x 62.4 lb/ft3 = 197,952 lbs.

Finally, to calculate the amount of work required to pump the water from the pool into a drain at the top edge, we must multiply the weight of the water (197,952 lbs) by the height of the drain (8 ft). This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.

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Let n(r + E) r+R a) Solve for n. b) Solve for R. c) Solve for E. d) Solve for r.

Answers

The solution for a), b), c), and d) are as follows- (a) n = 1/(r + E + R), (b) R = 1/n - r - E, (c) E = 1/n - r - R, (d) r = 1/n - E - R.

(a) To solve for n, we isolate it by dividing both sides of the equation by (r + E + R): n = 1/(r + E + R).

(b) To solve for R, we rearrange the equation: R = 1/n - r - E. We substitute the value of n from part (a) into this equation to obtain R = 1/(r + E + R) - r - E.

(c) To solve for E, we rearrange the equation: E = 1/n - r - R. Similarly, we substitute the value of n from part (a) into this equation to obtain E = 1/(r + E + R) - r - R.

(d) To solve for r, we rearrange the equation: r = 1/n - E - R. Again, we substitute the value of n from part (a) into this equation to obtain r = 1/(r + E + R) - E - R.

These expressions provide the solutions for n, R, E, and r in terms of each other, allowing us to compute their values given specific values for the other variables.

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In a bag of Christmas treats,there are 3 red candy canes for every 5 gingerbread men. If there are a total of 40 treats, how many are candy canes?

Answers

Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

There’s 24 candy canes in the bag of 40 Christmas treats

Hope this helped!:)

HELP PLEASE 100 POINTS

HELP PLEASE 100 POINTS

Answers

Answer:

Step-by-step explanation:

That's an awful lot of points. You don't have to give that many. 10 or 15 points would be more than enough.

The graph touches the x axis at 1 point. That means its basic formula is y = (x - a)^2

Since it  upside down, the formula is y = -(x - a)^2. A couple of other things are true.

a = 1 because that's where the graph touches the x axis. y = - x^2 has shifted 1 unit to the right.

Finally the y intercept is -4 which means that the final equation is y = -4(x-1)^2

That's all preliminary. The actual question is, what does the discriminate look like?

y = -4(x^2 - 2x + 1)

y = -4x^2 + 8x - 4

a = - 4

b = 8

c = - 4

sqrt(b^2 - 4ac)

sqrt(8^2 - 4(-4)(-4) )

sqrt(64 - 64) = 0

The answer is the third one. The answer will always be 0 when the graph touches the x axis and does not go through it.

Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable

Answers

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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FIRST TO ANSWER GETS BRAINLEIST (last one for the night!)

FIRST TO ANSWER GETS BRAINLEIST (last one for the night!)

Answers

Answer:

I think its the 2nd

Step-by-step explanation:

its the one with 9 because what's listed on the number line is 2 and the other one is 2 because 9 squared is 3 and over 3 is 1.HOPE THIS HELPED

Answer:

π/9

Step-by-step explanation:

π/9 is less than √9/3=3/3=1

π/9=0.349

I’m struggling with this could you help me pls

Im struggling with this could you help me pls

Answers

x=0, y=6
x=1, y=4
x=2, y=2
x=3, y=0
x=4, y=-2

Hope this helps :)

Step-by-step explanation:

a) x=0, y=6

x=1, y=4

x=2 , y=2

x=3, y=0

x=4, y= -2

y= 6-2x

b) look at the attachment.

c)

6-2x=3

-2x=-3

x=3/2

Im struggling with this could you help me pls

8.F. 2
5) Function F is described by the equation y= -8x +3
Function G is represented by the table below.
X
у
1
-13
O
5
Which statement about the two functions is true?
A. The slope off is greater than the slope of g
B. The slope of g is greater than the slope off
C. Function F has a positive slope.
D. Function G has a positive slope.

Answers

Answer:

I don't know. Make your question clearer, please.

Step-by-step explanation:

a college algebra class has 48 female and 44 male students. suppose you select one student at random to solve a math problem, what is the probability that the selected student is a female?

Answers

Probability of selecting a female student from the given number of students is equal to 0.5217.

As given in the question,

Number of female students in algebra class = 48

Number of male students in algebra class = 44

Total Number of students in algebra class = 48 + 44

                                                                  = 92

Total number of outcomes = ⁹²C₁

Number of favourable outcomes = ⁴⁸C₁

Probability of selecting a female student

= (Number of favourable outcomes) / (Total number of outcomes )

= ⁴⁸C₁ /  ⁹²C₁

= 48 / 92

= 12/23

= 0.5217

Therefore, the probability of selecting a female students from the given number of male and female students is equal to 0.5217.

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A closed half-plane is the solution of a linear inequality that comes close to the boundary line.
O True
O False

Answers

Answer:false

Step-by-step explanation:

in the figure, which line best illustrates the growth of a facultative anaerobe incubated aerobically?

Answers

The line best illustrates the growth of a facultative anaerobe incubated aerobically is (b) on the graph.

Cells are the basic unit of life, and they carry out a variety of functions within an organism.

When a catalase-negative cell is exposed to hydrogen peroxide, the hydrogen peroxide will not be broken down into water and oxygen as quickly as it would be in a catalase-positive cell (i.e., a cell that does produce catalase).

This can have important implications for the survival of the cell, particularly under aerobic (i.e., oxygen-rich) conditions.

The figure may contain several lines or curves, each of which represents the change in concentration of hydrogen peroxide over time for a different type of cell.

One of these lines will correspond to the catalase-negative cell. Since this cell does not produce catalase, the rate at which hydrogen peroxide is broken down will be slower than in a catalase-positive cell.

Therefore, the line corresponding to the catalase-negative cell should show a slower decrease in hydrogen peroxide concentration over time than the line corresponding to a catalase-positive cell.

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in the figure, which line best illustrates the growth of a facultative anaerobe incubated aerobically?

Please help me with this math problem!! Will give brainliest!! :)

Answers

Sure, I'll be happy to help you with your math problem! Can you please provide me with the details of the problem so that I can give you a proper solution?

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PLEASE HELP AD EXPLAIN WELL!

PLEASE HELP AD EXPLAIN WELL!

Answers

Answer:

y intercept is (0, -4)

equation is y = x - 4

Step-by-step explanation:

The slope is rise/run which you can find by choosing "any" two points on the line. For instance (0,-4) and (4,0)

The rise is the difference in y direction: 0 - - 4 = 4, the graph "rises" by 4.

The run is the difference in x direction: 4 - 0 = 4, the graph "runs" by 4.

So the slope is 4/4 = 1.

The y intercept is the point on the y axis where the line passes through. This is (0,-4). The intercept value is y= - 4.

The equation is slope times x plus y intercept value.

So putting this all together gives you an equation of

y = 1·x + -4

a.k.a.

y = x-4

Using an integrating factor, solve y-y-5 CD- in the method for solving a first-order linear differential equation, the first step is to put the equation in the standard form y alty bit). is the given equation in the standard form? No Yes Identify a(t) and bit)

Answers

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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9. One newton equals about 100 g
on Earth. How many newtons
would a football weigh if it had
a mass of 400 g?

Answers

Answer:

4 newtons.

Step-by-step explanation:

400/100=4

y=8 cos 3x, for x in [0,pi/3] solve fro x where x is restricted to the given interval. options are x=1/8accosy/3 x=1/3accosy/8 x=8accosy/3 x=3accosy/8

Answers

The correct equation is, x = (1/3)\(cos^{-1}\)(y/8).

The given equation is,

y = 8 cos 3x,

And we want to solve for x where x is restricted to the interval [0, π/3].

To solve for x,

We have to isolate x on one side of the equation.

Now dividing both sides by 8 we get,

⇒ y/8 = cos 3x

Now,

We can use the inverse cosine function to solve for x.

Here, we have to be careful because the inverse cosine function only gives us solutions in the range [0, π], which is larger than our restricted interval.

To get a solution in our restricted interval,

we have to adjust our solution by adding or subtracting multiples of 2π/3. This is because cos 3x has a period of 2π/3, which means that the function repeats itself every 2π/3 units.

Therefore,

⇒ x = (1/3) \(cos^{-1}\)(y/8) + (2nπ/3),

where n is an integer.

We have to choose the value of n that gives us a solution in the interval

[0, π/3].

Since \(cos^{-1}\)(y/8) gives us a solution in the interval [0, π],

we can use the following values of n,

n = 0,

for x in [0, π/3]

n = 1,

for x in [π/3, 2π/3]

n = 2,

for x in [2π/3, π]

So, the solution for x in the interval [0, π/3] is,

⇒ x = (1/3)\(cos^{-1}\)(y/8)

Therefore,

The correct option is x = (1/3)\(cos^{-1}\)(y/8).

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6. L
A machine can make 56 parts in 4 hours. It
can also make 70 parts in 5 hours. Write an
equation that relates the number of parts
the machine can make and the time in
hours. Predict how many parts the machine
can make in 9 hours, 30 minutes.

Answers

Answer:

133

Step-by-step explanation:

56/4=14 and 70/5=14. 14 x 9 = 126

30 mins is half of an hour which means you need to divide 14 by 2 which gives you 7.

126 + 7 = 133

133 parts the machine can make in 9 hours, 30 minutes.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A machine can make 56 parts in 4 hours.

56=4x

A machine can also make 70 parts in 5 hours.

70=5x

Now we need to write an equation that relates the number of parts

the machine can make and the time in hours.

14=x

Now, we need to find parts the machine can make in 9 hours, 30 minutes.

14 x 9 = 126

As 30 minutes is half an hour, so divide 14 by 2 we get 7

126 + 7 = 133

Hence 133 parts the machine can make in 9 hours, 30 minutes.

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