alexis is trying to partition segment ab in the ration 2:3 using a compass

Answers

Answer 1

Solution: The Steps are defined below,

Explanation:

To divide a line segment in 2:3 using compass alexis has to follow many steps:

1) Draw a line segment ab of length x.

2) Draw a line ac which makes an acute angle with the line ab.

3) Since alexis has to divide the line is 2:3, so make 2+3=5 arc of equal length of ac with the help of compass.

4) Name the fifth arc as d, so join the fifth arc with point b.

5) The draw a parallel to the line bd, and passing through the 2nd acr of ad. mark the second are as m.

6) Let the parallel line intersect at point n. Where the parallel line intersect the line ab, that point divides the line segment ab is 2:3.

By using above steps we get the figure same as the figure given below.

Alexis Is Trying To Partition Segment Ab In The Ration 2:3 Using A Compass
Answer 2

The line [tex]\bf ab[/tex] can be divided into the ratio [tex]2:3[/tex] with the help of a compass.

Further explanation:

Given that Alexis is trying to partition a line segment [tex]\bf ab[/tex] in the ratio [tex]2:3[/tex] with the help of compass.

There are different methods to divide a line segment in the given ratio, but we will use a simple method to divide the line [tex]\bf ab[/tex] in the ratio [tex]2:3[/tex].

Given a line segment [tex]\bf ab[/tex], which is to be divided in the ratio of [tex]2:3[/tex].

First draw any ray [tex]\bf ax[/tex] which makes an acute angle with [tex]\bf ab[/tex].

Locate [tex]5[/tex] points [tex]\bf a_{1},a_{2},a_{3},a_{4}\text{ and }a_{5}[/tex] on the ray [tex]\bf ax[/tex] such that [tex]\bf aa_{1},a_{1}a_{2},a_{2}a_{3},a_{3}a_{4}[/tex] and [tex]\bf a_{4}a_{5}[/tex] are equal, with the help of a compass.

Since, Alexis is trying to divide the line [tex]\bf ab[/tex] into the ratio of [tex]2:3[/tex], therefore, the ray [tex]\bf ax[/tex] is divided into [tex]5(2+3)[/tex] points.

Now, join the point [tex]\bf b[/tex] with the point [tex]\bf a_{5}[/tex].

From the point [tex]\bf a_{2}[/tex], draw a line parallel to [tex]\bf ba_{5}[/tex] and this can be drawn by making an angle equal to [tex]\angle\text{aa}_{5}\text{b}[/tex].

Now, consider that the line that is drawn parallel to [tex]\bf ba_{5}[/tex] intersect the given line [tex]\bf ab[/tex] at the point [tex]\bf c[/tex].

The point of intersection on the line [tex]\bf ab[/tex] is the point where it is divided into the ratio [tex]2:3[/tex] as shown in Figure 1 (attached in the end).

The above used steps are used to divide any line in the given ratio.

Therefore, the line [tex]\bf ab[/tex] can be divided into the ratio of [tex]2:3[/tex].

Learn more:

1. Learn more about angles https://brainly.com/question/1953744

2. Learn about collinear points https://brainly.com/question/5191807

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Constructions

Keywords: Alexis, compass, partition, segment, ab, ratio, 2:3, constructions, line, ray, parallel, intersection, angle, acute, geometry, line segment, acute angle.

Alexis Is Trying To Partition Segment Ab In The Ration 2:3 Using A Compass

Related Questions

Locating Zeros of Polynomial Function:
Approximate the real zeros of f(x)=2x^3-4x^2-3 to the nearest tenth

Answers

A graph shows that the best choice is ...

... b. 2.3

_____

Finding real roots of higher-degree polynomials is often done most easily with the help of a graphing calculator.

Use a drawing of counters to show 5 and then +7

Answers

red red red red red yellow yellow yellow yellow yellow yellow

hope this helps :)

Match the vocabulary word with the correct definition. 1. circle circles that have equal radii 2. radius a segment joining the center of a circle to a point of the circle 3. diameter the set of all points in a plane that are at a given distance from a given point in the plane 4. congruent circles two or more circles that lie in the same plane an have the same center 5. concentric circles a chord of a circle that contains the center of the circle

Answers

Answer:

1 - Circle      2 - Concentric          3 - Congruent       4 - Diameter       5 - Radius

Step-by-step explanation:

1. the set of all points in a plane that are at a given distance from a given point in the plane

Circle

2. two or more circles that lie in the same plane and have the same center

Concentric Circles

3. circles that have equal radii

Congruent Circles

4. a chord of a circle that contains the center of the circle

Diameter

5. a segment joining the center of a circle to a point of the circle

Radius

Final answer:

The given vocabulary words are all related to the concept of circles in mathematics. Each term is defined in respect to a characteristic or property of a circle. The terms covered were circle, radius, diameter, congruent circles and concentric circles.

Explanation:

The vocabulary words match with the correct definitions as follows:

A circle is defined as the set of all points in a plane that are at a given distance from a given point in the plane. The term radius refers to a segment joining the center of a circle to a point of the circle. The diameter is a chord of a circle that contains the center of the circle. Congruent circles are circles that have equal radii. Finally, concentric circles are two or more circles that lie in the same plane an have the same center.

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Q # 9 help please:The table shows the height of a plant as it grows.What equation in point-slope form gives the plant's height at anytime? let y stand for the height of the plant in cm and let x stand for the time in months

Answers

Answer: First option. y-15=5(x-3)

Solution:

We can take any pair of points of the table. For example:

P1=(3, 15)=(x1, y1)→x1=3, y1=15

P2=(5, 25)=(x2,y2)→x2=5, y2=25

And we can find the slope m using the following formula:

m=(y2-y1)/(x2-x1)

m=(25-15)/(5-3)

m=(10)/(2)

m=5

Now we can apply the point-slope formula to find the equation of the right line:

y-y1=m(x-x1)

Replacing y1=15, m=5, and x1=3

y-15=5(x-3)

Final answer:

The equation in point-slope form that represents the plant's growth over time would be 'y - 9 = 3x', given that the y-intercept is 9 and the slope is 3.

Explanation:

Based on the information given, it is clear that the y-intercept where the line intersects the y-axis is 9 and the slope of the line is 3. We know that y stands for the height of the plant and x for time in months. Using these values, the equation in point-slope form, which is normally written as y - y1 = m(x - x1) where m is the slope and (x1, y1) is a given point on the line, can be simplified assuming that x1=0 and y1 is our y-intercept which is 9.

Therefore, the equation of the line that represents the growth of the plant over time in point-slope form would be y - 9 = 3x.

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why does an angle that is supplementary to an acute angle have to be obtuse

Answers

This is because the total needs to be equal to 180 degrees. Since obtuse angles are greater than 90 degrees, then it needs an acute angle (lower than 90 degrees) to supplement it to equal 180

ABCD is a parallelogram.
Use a system to find x and y
if AB= 6x+30,.
BC=2x-5,
CD=2y-10,
and AD=y-35

Answers

Opposite sides of a parallelogram are equal lengths, so ...

... AB = CD

... 6x +30 = 2y -10

and

... BC = AD

... 2x -5 = y -35

_____

The equations can be put in standard form to get

... 3x -y = -20

... 2x -y = -30

Subtracting the second from the first, we get

... x = 10

Solving for y, we have

... y = 2x+30 = 2·10 +30 = 50

The values of x and y are x=10, y=50.

_____

AB = 6x+30 = 90

BC = 2x-5 = 15

Will give brainliest and extra points omg help ! /:

Answers

the answer is D i think

(d)

This equation does not factor, but we can solve using the quadratic formula

x = ( - b ± √(b² - 4ac) )/ 2a

given the equation in standard form : ax² + bx + c = 0

divide through by - 1, to obtain

x² + 7x + 2 = 0

with a = 1, b = 7 and c = 2, then

x = ( - 7 ± √(49 - 8) ) / 2

  = ( - 7 ± √41 ) / 2

x = - [tex]\frac{7}{2}[/tex] ± √41 / 2 → (d)


Writing two column proofs
Given: BC bisects. ABD M ABD =52° prove: mABC=26°

Answers

An angle bisector divides the angle into equal halves.

Given that:

[tex]\angle ABD = 52^o[/tex]

From the question, we understand that:

BC bisects [tex]\angle ABD[/tex]

This means that:

[tex]\angle ABD = 2 \times \angle ABC[/tex] ---- By definition of midpoint

So, we have:

[tex]52^o= 2 \times \angle ABC[/tex] ---- By substitution property

Divide both sides by 2

[tex]26^o= \angle ABC[/tex] ---- By division property of equality

So, we have:

[tex]\angle ABC = 26^o[/tex] --- By symmetric property of equality

Hence,

[tex]\angle ABC = 26^o[/tex] --- proved

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Final answer:

To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles.

Explanation:

To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles. Here is a step-by-step proof:

Given: BC bisects ∠ABD (angle bisector)m∠ABD = 52° (given)From the angle bisector theorem, we know that m∠ABC = m∠CBD (angles formed by the angle bisector are congruent)Therefore, m∠ABC = m∠CBD = 26° (since m∠ABD = 52°)

Therefore, we have proven that m∠ABC = 26°.

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Question 3
What is the value of the expression?
 
4!(7 – 4)!



A.) 5040


B.) 479,001,600


C.) 120,384


D.) 144

Answers

4!(7 – 4)! is equivalent to (4!)(3)!

3! = 3*2*1 = 6, and 4! = 4(6) = 24.

Thus, 4!(7 – 4)! = 24(6) = 144

Estimate then find the sum 169+354

Answers

169+354=523 I think thats what you were asking


It would be 523 as your answer because you have to add up .


1. what is the simplified form of -(x - 4)?

A. - × -4
B. - × + 4
C. x + 4
D. x - 4

2. what is the simplified form of the expression -4xy/3x?

A. -3y/4
B. -4×/3
C. -4y/3
D. -3×/4



Answers

1. To simplify -(x-4) change the sign on each term inside parenthesis:

-(x-4) would become -x+4

The answer is B.


2. -4xy / 3x

Cancwl the common factor out

-4xy / 3x  (cross out the x's)

-4y /3

The answer is C.

Answer:

C thank you next

Step-by-step explanation:

Given: △DMN, DM=10 3 m∠M=75°, m∠N=45° Find: Perimeter of △DMN

Answers

Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...

... 30-60-90: 1 : √3 : 2

... 45-45-90: 1 : 1 : √2

The long side of ΔMDX is 10√3, so the other two sides are

... MX = MD(√3/2) = 15

... DX = MD(1/2) = 5√3

The short side of ΔMNX is MX = 15, so the other two sides are

... NX = MX(1) = 15

... MN = MX(√2) = 15√2

Then the perimeter of ΔDMN is ...

... P = DM + MN + NX + XD

... P = 10√3 +15√2 + 15 + 5√3

... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN

The Perimeter of △DMN is 35.9

First step

sin 45 / 10 = sin 60/ x

x = sin 60 × 10 / sin 45

= √(3)/2 × 10 × 2 / √(2)

= √(3) / 2 × 10 ×√(2)

= 5 × √(6)

Second step

sin 45 / 10 = sin 75 / y

y = sin 75 × 10 / sin 45

= sin 75 × 10 × 2 / √(2)

= sin 75 × 10 ×√(2)

= 13.066054

Now let determine Perimeter of △DMN

Perimeter of △DMN=10 + 5*√(6) + 13.06605425

Perimeter of △DMN= 35.90770275                      

Perimeter of △DMN=35.9

Inconclusion  Perimeter of △DMN is 35.9                                

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Use the distributive property to simply 27-9x+15y

Answers

Distributive property: ⇒ a(b+c)=ab+ac

First you had to rewrite down as the nine and its should be three times three is equal to nine. Then you rewrite down as the twenty-seven and its should be nine times three is equal to twenty-seven. Next, you rewrite down as fifteen and its should be five times three is equal to fifteen.

And it gave us ⇒ [tex]=5*3y+9*3-3*3x[/tex].

Then you had to factor out by the common term of three.

And it gave us ⇒ [tex]3(5y+9-3x)[/tex]

Final answer ⇒ [tex]\boxed{=3(5y+9-3x)}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

All 3 terms have a common factor 3 which we can take out

=3 ( 9 - 3x + 5y )


When evaluating a complex expression which of the following rules should be followed?

Evaluate from left to right
Evaluate from right to left
Evaluate using order of operations
Evaluate in any order

Answers

Evaluate using order of operations. Always do this first.

once you have distributed probably you will evaluate left to right.

Answer:

Evaluate from left to right

Evaluate using order of operations

Step-by-step explanation:

To evaluate any complex expression that contains addition, subtraction , multiply or divide, exponents , parenthesis etc we use order of operation.

Order of operation is PEMDAS

To evaluate , first we simplify the parenthesis part and then exponents

Then do the multiplication and division from left to right.

Finally we do addition and subtraction from left to right

So the rules for evaluating a complex expression is

Evaluate from left to right

Evaluate using order of operations

Find the circumference of a circle with diameter 7.3 m Use the pi key on your calculator and round your answer to the nearest tenth

Answers

Answer:

22.9 m

Step-by-step explanation:

Circumference = π × diameter

Using a calculator to evaluate 7.3π, we get 22.933626...

Rounding this to the nearest tenth gives 22.9. Units are meters.

Final answer:

The circumference of a circle with a diameter of 7.3m is approximately 22.9 meters.

Explanation:

The circumference of a circle is calculated by using the formula C = πd, where 'C' is the circumference and 'd' is the diameter. Given that the diameter of the circle is 7.3 m, you can plug this value into the formula to find the circumference.

So, C = π × 7.3

To find the circumference of a circle with diameter 7.3m, we can use the formula C = π x d, where C is the circumference and d is the diameter. Plugging in the given value, we get C = 3.14 x 7.3 = 22.922. Rounding to the nearest tenth, the circumference is approximately 22.9 meters.

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Landau has some nickels,dimes,amd quarters. The number of dimes is 3 more than 7 times the number of nickels. The number of quarters is 4 less than 2 times the number of nickels. The total value of the coin is 330 cents. Write and solve an equation of each type of the coin

Answers

This question is one where the numbers don't add up. You should ask your teacher to show you how to work it.

___

Let n, d, q represent the numbers of nickels, dimes, and quarters Landau has, respectively.

... d = 7n +3 . . . . . the number of dimes is 3 more than 7 times the number of nickels

... q = 2n -4 . . . . . the number of quarters is 4 less than 2 times the number of nickels

... 5n +10d +25q = 330 . . . . the total value of the coins is 330 cents

Using the first two equations to substitute into the last one, we get

... 5n +10(7n +3) +25(2n -4) = 330

... 125n -70 = 330 . . . . . . eliminate parentheses, collect terms

... n = 400/125 . . . . . . . . add 70, divide by 125

... n = 3.2

... d = 7·3.2 +3 = 25.4

... q = 2·3.2 -4 = 2.4

Landau has 3.2 nickels, 25.4 dimes, and 2.4 quarters.

In a recent survey of 974 voters, 724 indicated that they were in favor of a new city park, while the other 250 voters said that they were opposed.

Using this survey as a basis, if 40,000 citizens vote next week, how many are likely to be opposed to the new park? Round to the nearest whole number.

Answers

10, 267

the fraction of voters opposed from the survey = [tex]\frac{250}{974}[/tex]

Assuming this fraction as a basis then the predicted number against will be

40, 000 × [tex]\frac{250}{974}[/tex] = 10, 267 ( nearest while number )


Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years? If x represents Harry's age now, then which of the following equations could be used to solve the problem? 5(7x + 6) = x + 6 7x = 5x + 6 7x + 6 = 5 (x + 6)

Answers

Answer:

7x+6 = 5(x+6)

Step-by-step explanation:

x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)

In 6 years, Harry's age will be x+6.

In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...

... 7x+6 = 5(x+6)

_____

Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).

Answer:

Its D) aka the last option

Step-by-step explanation:

I just need help on number 11

Answers

Answer:

0.57

Step-by-step explanation:

Writing a percentage as a decimal is no big mystery. The percent symbol (%) is simply a shorthand way to write "per hundred" or "divided by 100" (/100).

So ...

... 57% = 57/100

You know from place value and the way you read numbers that fifty-seven hundredths written as a decimal is ...

... 0.57

PLZZZZZZZZZZZZZZZZZZZZ HELP IM IN A RUSH

If the answer is not a whole number, it should be entered as a decimal rounded to the hundredths place.

A photograph with a width of 5.5 inches is being enlarged by a factor of 4 1/2 to make a poster.

The new width of the photograph is ________
inches.

Answers

well you haven't mentioned the length but anyways, just calculate
[tex]5.5 \times 4 \frac{1}{2} [/tex]
which is either equal to

[tex]5.5 \times 2 = 11[/tex]
or in case its
[tex]5.5 \times 4 + \frac{1}{2} [/tex]
it's equals to 22.5

gotta ask your teacher about that

Answer:

24.75 i just had this question got it wrong but there's the correct answer

Q # 15 please Graph the equation .y = 4x - 3

Answers

Answer: Please, see the attached file.

Thanks.

Solution:

We can graph using the intercepts:

(1) y-intercept, when x=0

y=4x-3→y=4(0)-3→y=0-3→y=-3

Point=(x,y)=(0,-3)

(2) x-intercept, when y=0

y=4x-3→0=4x-3

Solving for x: Adding 3 both sides of the equation:

0+3=4x-3+3

3=4x

Dividing both sides of the equation by 4:

3/4=4x/4

3/4=x

x=3/4=0.75

Point=(x,y)=(3/4,0)=(0.75,0)

With these pair of points (0, -3) and (0.75,0) we can draw the right line

What is the answer of -3 2/3 + 1.1 as a fraction?

Answers

[tex] - 3 \frac{2}{3} + 1.1 = - \frac{11}{3} + \frac{11}{10} = - \frac{110}{30} + \frac{33}{30} \\ = -\frac{77}{30} = -2 \frac{17}{30} [/tex]

Use a model to solve. An average orange weighs 3/5 of a pound. Based on this average, how many oranges are in six pounds of oranges?

Answers

3/5x=6,
x=10 oranges

What is the inverse of the functionf(x)=2x+1

Answers

x = 2x + 1

x - 2x = 1

-x = 1

x = -1

Solution :

Given , function[tex]f(x) = 2x+1[/tex]

we have to find the inverse of the function f(x)

Substitute y for f(x):  [tex] y=2x+1[/tex]

Subtract 1 from both sides, [tex]y-1=2x+1-1[/tex]

Divide both sides by 2, [tex]\frac{y-1}{2} = x[/tex]

[tex]\Rightarrow x=\frac{y-1}{2}[/tex]

Substitute [tex]f^{-1}(y)\:for\:x [/tex][tex]\RIghtarrow f^{-1}(y)=\frac{y-1}{2}[/tex]

Hence, The inverse of the function [tex]f(x)=2x+1\:is f^{-1}(y)=\frac{y-1}{2}[/tex]

PLEASE ANSWER WILL MARK BRAINLIEST AND GET POINTS (good grammar skills)
PLEASE SHOW ALL WORK!!! THANK YOU VERY MUCH!!! :)
The original price of a car is $3000. What is the new price if the original price is reduced by 10%?

Answers

the new price is reduced by 10% of $3000.

10% of $3000 is one tenth of 3000, so 3000/10 = $300

so the original price was reduced by $300 to be $2700

The expanded form of a number is (6 × 1) + (2 × 0.1) + (7 × 0.01). How should the number be written in word form? six and twenty-seven six and twenty-seven tenths six and twenty-seven hundredths six and twenty-seven thousandths

Answers

All choices agree that it is "six and (something)".

So, you're asked to figure out whether 0.2 + 0.07 = 0.27 is

twenty-seventwenty-seven tenthstwenty-seven hundredthstwenty-seven thousandths

You can start with the original expanded form to decide

... (2 × 0.1) + (7 × 0.01) = (20 × 0.01) + (7 × 0.01)

... = (20+7) × 0.01 = (27 × 0.01)

Since you know 0.01 is 1 hundredth, you know the correct choice is ...

... six and twenty-seven hundredths

the answer would be -six and twenty-seven hundredths

SOLVE THE INEQUALITY -X/7+ 4 ≥ 3X A. x ≤ 14/11 B. x ≤ 2/5 C. x ≤ 2/1 D. x ≥ –1

Answers

You can eliminate fractions by multiplying the whole thing by 7.

... -x +28 ≥ 21x

Now, add x to get all x-terms on the right. Then, divide by the coefficient of x.

... 28 ≥ 22x

... 28/22 ≥ x

This fraction can be reduced, so we have ...

... A. x ≤ 14/11

8. When hired at a new job a a salesperson you are given two pay options:

A base salary of $17,000 per year with a commission of 12% of your sales

A base salary of $20,000 per year with a commission of 5% of your sales

How much you need to sell for option A to pay more?

9. When hired at a new job as a salesperson you are given two pay options:

A base salary of $20,000 per year with a commission of 9% of your sales

A base salary of $25,000 per year with a commission of 3% of your sales

How much you need to sell for option A to pay more?

Answers

You can write equations for total pay, but in the end, you want to find the amount of sales that makes the difference in commission make up for the difference in base pay.

... (commission rate difference) × sales = (base pay difference)

To find the sales, divide by its coefficient:

... sales = (base pay difference)/(commission rate difference)

8.

Sales = (20,000 -17,000)/(.12 -0.05) = 3000/0.07 ≈ 42,857.14

You need to sell more than $42,857.14 for option A to pay more.

9.

Sales = (25,000 -20,000)/(.09 -.03) = 5000/0.06 ≈ 83,333.33

You need to sell more than $83,333.33 for option A to pay more.

_____

In each case, total pay is ...

... total pay = (base pay) + (commission rate) × sales

For the two options to give the same total pay, the difference in total pay is zero. That occurs when ...

... 0 = (base pay₁) + (commission rate₁) × sales -((base pay₂) + (commission rate₂) × sales)

... 0 = (base pay₁) - (base pay₂) - sales × ((commission rate₁) -(commission rate₂))

Solving for sales, we get the above result:

... sales = ((base pay₂) -(base pay₁))/((commission rate₁) -(commission rate₂))

Solution 8:

We are given base salary of 17000 and 12% of sales.

Les us say salesperson does sales of x amount.

So 12% of x is 0.12x

Total salary = 17000+0.12x

In second case base salary is $20000 and commission of 5% of sales.

Total salay=20000+0.05x

Now for option A to pay more we have:

[tex]17000+0.12x>20000+0.05x[/tex]

Solving we get:

[tex]0.07x>3000[/tex]

x>42,857

Answer: Option A need to make sales of $42,857 more.

Solution 9:

We are given base salary of 20000 and 9% of sales.

Les us say salesperson does sales of x amount.

So 9% of x is 0.09x

Total salary = 20000+0.09x

In second case base salary is $25000 and commission of 3% of sales.

Total salay=25000+0.03x

Now for option A to pay more we have:

[tex]20000+0.09x>25000+0.03x[/tex]

Solving we get:

[tex]0.06x>5000[/tex]

x>83,333.33

Answer: Option A need to make sales of $83,333.33 more.



The height of an ostrich is 20 inches more than 4 times the height of a kiwi .if an ostrich is 108 inches rall,how tall is a kiwi

Answers

22 inches
108 - 20 = 88
88/4 = 22 inches

what is 13 divided by eleven thousand eighty nine

Answers

i think u read it wrong isnt that supposed to be 233/11,089??
Other Questions
Solve x^2-4x-7=0 by completing the A scientist builds a Mars rover that can travel 4.9 centimeters per second on flat ground. If the rover continues at the same rate, how many centimeters will it travel in 15 1/2 seconds? Malcom x how did he read during prison at night? what gose into 2 14 fractions A persons name is included in all parts of a business letter except the _____. closing signature greeting inside address In the area of economics and big business, what are three things that President Wilson accomplished? raising tariffs to avoid competition passage of the Federal Trade Act signing the Clayton Antitrust Act repealing the Sherman Antitrust Act lowering tariffs for more competition beginning the Interstate Commerce Commission Angle JKLis a straight angle.The measure of angle JKM is 120 degrees.The measure of angle MKL is X degreesWhat is the value of X? 4 the u.S. Food and drug administration (fda) approved acupuncture needles for use by licensed practitioners in 1996. The fda requires that sterile, nontoxic needles be used and that they be labeled for single use by qualified practitioners only. 5 relatively few complications from the use of acupuncture have been reported to the fda in light of the millions of people treated each year and the number of acupuncture needles used. why does the author refer to the fda's approval of acupuncture needles? a) to clarify the methods used by acupuncturists. b) to demonstrate that acupuncture is regulated and safe. c) to ensure that the reader chooses the correct needles. d) to show the superiority of traditional chinese medicine. Mid- ocean ridges normally form where tectonic plates are A. converging B. diverging. C. Stationary. D. sliding past each other Which strategy would a global health organization most likely use to reduce health effects from air pollution? Suggest technologies that can be adapted for different uses. Monitor respiratory diseases related to air pollution in a small town. Provide health guidelines to a certain region suffering from air pollution. Work to reduce harmful emissions produced by a local business. a roller coaster car moving along a track is energy conserved in this system true or false1. all of the bones in your body, with the exception of the hyoid joint in the neck, from a joint with another bone true or false2. bones in your joints are covered with smooth and slippery material called cartilage 3. a joint is surrounded by a hallow area that is called a synovial capsule4. gliding joints are located between the surfaces of two flat bones5. a hinge joint allows wide range of motion and freedom of movement 6. the hip is an example of a pivot joint7.the skull is an example of a gliding joint8. the synovial membrane coasts the outer ling of the joint capsule9. the shoulder is an example of a ball and socket joint10. some of the joints in the ankle and wrist are gliding joints Read the passage from "Arachne and Athena" Part 1.The people ran off in fright. No one said such things about a goddess, especially Athena. Athena was not only the goddess of weaving; she was also the goddess of war."You should be ashamed of yourself! Arachnes mother scolded. "Our gifts come from the gods and goddesses, and we should always be thankful."My gift came from my own hard work! Arachne said, stamping her foot.The conflict in the passage is betweenArachne and Athena. Arachne and her mother.Athena and Arachnes mother.Athena and the people. a theater has 144 seats. the theater sells tickets for $6 per adult and $4 per child. if the theater sold out on friday night and earned $660, how many adult tickets and child tickets were sold friday night? Write a topic sentence for your paragraph that will compare the strengths of fiction and nonfiction. When do most Gothic novels take place? Was the influx of labor into the North accompanied by rapid technological innovation, infrastructure development, and urbanization ? The diagram shows a type of lipid Which lipid is shown? A) a saturated phospholipid B) a saturated triglyceride C) an unsaturated phospholipid D) an unsaturated triglyceride find the next two terms 1/8, 2/7, 1/2, 4/5 Please help me out with this*use the 2nd pic*