Two long strips of paper are each 2 inches wide, and they overlap so that the angle between the strips is 30 degrees. What is the number of square inches in the area of the parallelogram formed by the overlap?
.

Answers

Answer 1

Answer:

Step-by-step explanation:

37 inches


Related Questions

This market is a duopoly and the demand schedule as well as the total revenue is provided below. The number of customers you see and the total revenue is for the total market, not for an individual firm.

Answers

Answer:

??

Step-by-step explanation:

The number of visitors to the homepage of an online magazine can be modeled by the equation y = 1100.74x − 1976.47, where x = 5 represents the year 2005 and y represent the total number of visitors.

FIRST ONE GETS BRAINLIEST OR 5 STARS

Answers

The number of visitors to the homepage of an online magazine in the year 2005 is 3527

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

Let y represent the total number of visitors x years since 2000. Hence:

y = 1100.74x - 1976.47

In the year 2005 (x = 5):

y = 1100.74(5) - 1976.47 = 3527.23

The number of visitors to the homepage of an online magazine in the year 2005 is 3527

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A long oval is shown. Two lines are drawn where the sides are straight to form right angles.

How can you decompose the composite figure to determine its area?
as two semicircles and a rectangle
as two circles and a rectangle
as a circle and a square
as two semicircles and a trapezoid

Answers

The figure which is like a long oval can be decomposed to two semicircles and a rectangle so as to find the area.

Given a long oval and two lines are drawn where the sides are straight to form right angles.

We are required to find the way how we can decompose the composite figure to determine its area.

Area means the amount of space occupied by a two dimensional shape or object. The area of a figure can be decomposed to smaller figures so as to find the area.

The composed figure can be decomposed to two semicircles and a rectangle so as to find the area.

Hence the composite figure can be decomposed to two semicircles and a rectangle so as to find the area.

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Answer:

a

Step-by-step explanation:

What percentage of its total accounts receivable does grainger feel are uncollectible at december 31, 2016?

Answers

Using percentage of its total accounts the $50,000 is the amount to be uncollectible. The amount of $50,000 will be reported as an allowance for uncollectible accounts for the Year 2 on December 31 in the balance sheet.

According to the question,

Under the approach of the balance sheet, the ending balance of the allowance for the uncollectible accounts is the percentage (%) of the ending balance of the accounts receivable.

The amount of uncollectible accounts should reflect the aggregate needed ending balance of the allowance which amounts to $50,000.

Hence, using percentage of its total accounts the $50,000 is the amount to be uncollectible.

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Slope-intercept form?

Answers

Answer:

y=3x+4

Step-by-step explanation:

The original formula for slope-intercept is y=mx+b.

b is your y-intercept (where the line crosses the y-axis).

m is your slope which is 3/1 or just 3.


Several different roadways are in the same region as the railroad.
Part A: A highway's path can be found using the equation 2x+3y=21. Use the graphs of the functions to determine the number of intersections there will be between the railroad and the
highway, and explain completely. (5 points)
Part B: A turnpike's route is determined by the equation y=x2 Prove algebraically how many intersections there will be between the railroad and the turnpike, showing all necessary
work. (5 points)

Answers

There are 0 intersections between the railroad and the highway and there are 2 intersections between the railroad and the turnpike

The number of intersections there will be between the railroad and the highway

From the graph, we have the following points on the railroad

(x, y) = (3, 3) and (0, 5)

The slope is calculated as:

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

This gives

m = (5 -3)/(0 - 3)

Evaluate

m = -2/3

The equation is then calculated as:

y = mx + b

This gives

y = -2/3x + b

Substitute (0, 5)

5 = -2/3 * 0 + b

This gives

b = 5

Substitute b = 5 in y = -2/3x + b

y = -2/3x + 5

Multiply through by 3

3y = -2x + 15

Rewrite as:

2x + 3y = 15

The equation of the highway's path is

2x+3y=21

So, we have:

2x+3y=21

2x + 3y = 15

Subtract the equations

2x - 2x + 3y - 3y = 21 - 15

Evaluate

0 = 6

The above equation is false because 0 and 6 are not equal.

This means that the system of equations have no solution

Hence, there are 0 intersections between the railroad and the highway.

How many intersections there will be between the railroad and the turnpike?

Here, we have

y = x^2 and 2x + 3y = 15

Substitute y = x^2 in 2x + 3y = 15

2x + 3x^2 = 15

Rewrite as:

3x^2 + 2x - 15 = 0

Calculate the discriminant using

d =b^2 - 4ac

This gives

d = 2^2 - 4 * 3 * -15

Evaluate

d = 184

The discriminant d is greater than 0.

This means that the equation has 2 real solutions

Hence, there are 2 intersections between the railroad and the turnpike

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A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 ​respondents, 14​% chose chocolate​ pie, and the margin of error was given as +3 percentage points. What values do ​, ​, ​n, E, and p​ represent? If the confidence level is ​%, what is the value of ​?

Answers

The completion of the tabs are:

The value of [tex]\bar p[/tex] is the sample proportion.The value of  [tex]\bar q[/tex] is found by evaluating [tex]1-\=p[/tex]The value of n is the sample size.The value of E is the margin of error.The value of p is the population proportion. α = 0.05.

What is the margin of error.?

You may calculate how many percentage points your findings will deviate from the actual population figure by using something called a margin of error.

In conclusion

The worth of p^ is the fraction of the sample.The worth of p^ is discovered by assessingThe sample size is given by the number n.The margin of error is expressed as E's value.The population percentage is represented by the value of p. α = 0.05.

In conclusion,

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Write the log equation as an exponential equation. You do not need to solve for x.

Answers

Answer:

x² - 5x + 17 = [tex](2x)^{3x}[/tex]

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

[tex]log_{2x}[/tex] (x² - 5x + 17) = 3x , then

x² - 5x + 17 = [tex](2x)^{3x}[/tex]

arrange the steps in the correct order to express cos3x in terms of cosx

Answers

The correct order to express cos3x in terms of cosx is; As shown in steps 1 to 9 below.

How to simplify Trigonometric Identities?

The steps to simplify the trigonometric identities cos 3x in terms of cos x are as follows;

Step 1; cos x = cos(2x + x)

Step 2; cos(2x) cosx - sin(2x) sinx

Step 3; 1 - 2sin^2x(cosx) -(2sinxcosx)sinx

Step 4; cosx - 2sin²x cosx - 2sin²x cosx

Step 5; cosx - 4sin²x cosx

Step 6; cosx( 1 - 4sin²x)

Step 7; cosx{1 - 4(1 - cos²x)}

Step 8; cosx{-3 + 4cos²x}

Step 9; 4cos³x - 3cosx

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I dentist the slope and a point on the line

Answers

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y  -1 = 2/3(x-6)  We want to get this into the slope intercept form of a line.  We want it to be in the form y = mx + b.  Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9  Now divide all the way through by 3 to get

y = 2/3x - 3  

y = mx + b.  The m part is the slope.  In this equation the slope is 2/3

There are in infinite amount of points on a line.  I do not know if they give you a picture or if you are just to create your own.  I am going to create a point that have x = 0.  I get to pick the point.  I could pick any number.  0 is just usually really easy.  So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1  so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works.  I think that I would do it like this"

y - 1 = 2/3(x - 6)  Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4  I can make -6 a fraction by putting it over 1.  Now we have 2/3(-6/1)  multiply across to get  -12/3.  A positive times a negative is a negative.  -12 divided by 3 is -4.

y - 1 = 2/3x -4   now add 1 to both sides.

y = 2/3x -3

The average amount of money held by each child in a group of 5 is $0.50. If one of the children loses a quarter, what is the new average of money held by each child

Answers

Answer:

$0.45.

Step-by-step explanation:

Total amount of money held by all 5 children

= 5 * 0.50 = $2.50.

After 0.25 is lost the total = $2.25.

So the new average = 2.25 / 5

= $0.45.

[tex]Y-intercept = -4 Slope = 1/4[/tex]
Please help i need this

Answers

Answer:

Step-by-step explanation:

Answer:

Refer to the attached image!!

Hope it helps!

The lengths of two sides of a triangle are shown below:
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
The perimeter of the triangle is 5x³+4x2 - x - 3.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? (4 points)
Part B: What is the length of the third side of the triangle? (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under
addition and subtraction? Justify your answer. (2 points)
(10 points)

Answers

Part A

[tex]3x^2 -2x-1+9x+2x^2 -3=\boxed{5x^2 + 7x-4}[/tex]

Part B

[tex](5x^3 +4x^2 - x-3)-(5x^2 + 7x-4)=\boxed{5x^3 - x^2 - 8x+1}[/tex]

Part C

No, because although they provide examples for specific polynomials being closed under addition and subtraction, there is a loss of generality.

How many different 2-digit numbers are there with the following property: it is evan and its digits are distinct?

Answers

By counting all the even 2-digit numbers between 10 and 100, there are 41 even and distinct digits.

What is an even number?

An even number can be defined as a type of number which is divisible by two (2) without any remainder.

How to determine this 2-digit number?

Since this 2-digit numbers are even and its digits are distinct, we can infer and logically deduce the following points:

They are between 10 and 100.They are not repeated.They must contain two digits only.

By counting all the even 2-digit numbers between 10 and 100, there are 41 even and distinct digits.

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Which of the following is a characteristic of the circumcenter of a triangle? A. It is the center of the circle that can be inscribed in a given triangle. B. It is equidistant from all three sides of the triangle. C. It is equidistant from all the vertices in the triangle. D. It is the intersection of all three angle bisectors of the triangle.​

Answers

Answer is A. It is the center of the circle that can be inscribed in a given triangle
Explanation
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.

Giving away brainly for help ASAP

Answers

Answer:

[tex]g(f(x))=25x^2-15x-7[/tex]

domain: (-∞,∞)

Step-by-step explanation:

g of f means plug the function f(x) in to x in the function g(x)

[tex]g(f(x))=5(5x^2-3x-2)+3\\g(f(x))=25x^2-15x-10+3\\g(f(x))=25x^2-15x-7[/tex]

since this is a parabola with no interval, the domain (the graph on the x-axis from left to right) is all real numbers or (-∞,∞)

Determine the volume of a cube with a side length of 5 1/3 in.

Answers

Answer:

151 19/27 in^3

Step-by-step explanation:

volume of cube is (side length)^3

(5 1/3)^3 = (16/3)^3 = 4096/27 = 151 19/27

What is the end behavior of the graph

Answers

Answer:

as x is approaching positive infinity, y approaches positive infinity

as x is approaching negative infinity, y is approaching negative infinity

What is the 32nd term of an arithmetic sequence with a first term of 7 and a common difference of 4?

Select one:
a. 119
b. 123
c. 127
d. 131

Answers

Answer:

a₃₂ = 131

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 4 , then

a₃₂ = 7 + (31 × 4) = 7 + 124 = 131

Question 5(Multiple Choice Worth 1 points)
(02.01 LC)
Which of the following tables represents a function?

Answers

its the first one

a system can only be a function if there is only one value of y for each value of x. there cannot be two or more values of y for one single value of x in a function.

Please help me with this

Answers

Answer:

altitude: 16 cmbase: 12 cm

Step-by-step explanation:

The given relation can be used with the formula for the area of a triangle to give an equation for the altitude or base.

Setup

Let b represent the length of the base. Then the altitude (height) is (b+4). The area formula tells us the area is ...

  A = 1/2bh

Using given values, the equation becomes ...

  96 = 1/2b(b +4)

Solution

Simplifying the equation and multiplying by 2, we have ...

  192 = b² +4b

Adding (4/2)² = 4 will complete the square.

  196 = b² +4b +4 = (b +2)²

Taking the square root gives ...

  14 = b +2 . . . . . . we are not interested in the negative root

  12 = b . . . . . . . . subtract 2

  16 = b+4 . . . . . find the altitude

The base is 12 cm; the altitude is 16 cm.

When I flip a coin, the outcome can be either heads or tails; it is uncertain. However, in a large number of flips, the distribution of heads and tails is very regular. We say that flipping a coin is Group of answer choices predictable. deterministic. none of the above. random.

Answers

If the distribution of heads and tails of a fair coin is very regular in a large number of flips, then flipping a fair coin is: D. random.

What is a fair coin?

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly flipped or tossed by anybody.

This ultimately implies that, the outcome of flipping a fair coin is generally going to produce only one of two results and these include the following:

HeadTail

In this context, we can infer and logically conclude that if the distribution of heads and tails of a fair coin is very regular in a large number of flips, then flipping a fair coin is considered as being random.

In conclusion, it is important to note that a fair coin is considered as being random when the distribution of heads and tails of a fair coin is very regular in a large number of flips.

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if the area of a rectangle is represented by 25x^3y^6 and its width is represented by 10xy, express the length of the rectangle in terms of x and y

Answers

The length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is 2.5x²y⁵.

The area of a figure is the total space enclosed in two dimensions within its boundary.

The area of a rectangle is given as, area = length*width.

In the question, we are given that the area of a rectangle is represented by 25x³y⁶ and its width is represented by 10xy, and are asked to express the length of this rectangle in terms of x and y.

We know that the area of a rectangle is given as, area = length*width.

Substituting the known values in the equation, we get:

25x³y⁶ = length*10xy.

Rearranging this equation, we get:

length = 25x³y⁶/10xy = (5x²y⁵)/2 = 2.5x²y⁵.

Thus, the length of the rectangle in terms of x and y, given that its area is represented by 25x³y⁶ and its width is represented by 10xy is 2.5x²y⁵.

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pls answer fast , pls

Answers

Answer:

x is 14

1st is 14

2nd is 20

Step-by-step explanation:

4/7 (x ) = (34 - x )(2/5)

4x/7 + 2x/5 = 34 x 2/5 = 68/5

34x/35 = 68/5

x = 14

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Mario's car cost $15,999. Each year the car's value decreases by $1,550. This relationship is described by the equation V = 15,999 − 1,550t, when V is the value of the car and t is the age of the car in years. What is the value of his car after 5 years?

Answers

The value of Mario's car after 5 years is $8,249.

What is the value of the car after 5 years?

Deprecation is when the value of an asset declines with the passage of time as a result of wear and tear.

V = 15,999 − 1,550t

V = 15,999 − 1,550(5)

V = 15,999 - 7,750

V =$8,249

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Which term describes the red curve in the figure below?
• A. Parabola
O B. Circle
• C. Hyperbola
O D. Ellipse

Answers

Answer:

the red curve is a hyperbola

( will give brainlyest)
A firework is launched from the ground at a speed of 160 feet per second. It’s height after t seconds is given by the polynomial -16t^2+160t. What is the height of the firework after 4 seconds?

Answers

-16t^2+160t=0
16t^2=160t (Divided by 16)
t^2=10t (Divided by t)
t=10

Height
= Speed x Time
= 160 x 4
= 640 feet

Given: quadrilateral MNOL with MN ≅ LO and ML ≅ NO

Prove: MNOL is a parallelogram.

Quadrilateral L M N O is shown. Sides M N and L O are congruent. Sides L M and O N are congruent.

Complete the paragraph proof.
We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △
. By CPCTC, ∠LMO ≅ ∠ and ∠NMO ≅ ∠LOM. Both pairs of angles are also , based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.

Answers

The answers to the quadrilateral are ONM, NOM, and alternate interior angles.

How to explain the quadrilateral?

Based on the SSS postulate, the two triangles △MLO and △ONM are congruent since three sides of △MLO are respectively equal to the three sides of △ONM.

Based on CPCTC, all of the corresponding angles of △MLO and △ONM are congruent as well since the two triangles are congruent, that is,  

∠LMO≅∠NOM and ∠NMO≅∠LOM.

Since the pair ∠LMO and ∠NOM as well as ∠NMO and ∠LOM are angles on the inner side of two lines but on opposite sides of the transversal MO, these pairs of angles are also alternate interior angles.

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Answer:    ONM

                 NOM

                alternate interior angles

Step-by-step explanation:  Complete the paragraph proof.

We are given that MN ≅ LO and ML ≅ NO. We can draw in MO because between any two points is a line. By the reflexive property, MO ≅ MO. By SSS, △MLO ≅ △

✔ ONM

. By CPCTC, ∠LMO ≅ ∠

✔ NOM

and ∠NMO ≅ ∠LOM. Both pairs of angles are also

✔ alternate interior angles

, based on the definition. Based on the converse of the alternate interior angles theorem, MN ∥ LO and LM ∥ NO. Based on the definition of a parallelogram, MNOL is a parallelogram.

In the following table, the age (in years) of the respondents is given as the x value, and the earnings (in thousands of dollars) of the respondents are given as the y value. Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.

Answers

The required equation based on the information given is y =0.433x + 24.493

How to illustrate the information?

It should be noted that one can simply copy and paste the data set into excel sheet

Then, use intercept and the slope formula to find slope and intercept. We will have

slope = SLOPE(y values, x values)

= 0.433

intercept = INTERCEPT(y values, x values)

= 24.493

Therefore, the required equation is y =0.433x + 24.493

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Anyone know?? I’d appreciate it.

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: (1.6 \times 10 {}^{5} ) \sdot(2 .3 \times {10}^{1} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: (1.6 \times 2.3) \sdot(10 {}^{5} \times 10 {}^{1} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3.68 \times 10 {}^{6} [/tex]

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Mussina Company had an investment which cost $250,000 and had a salvage value at the end of its useful life of zero. If Mussina's expected annual net income is $15,000, the annual rate of return is: An inductor is connected across an oscillating emf with a peak current of 2.00 A. If the peak emf 0 is doubled, what is the peak current?2.00 A4.00 A1.00 A1.41 A 1 Do you think Porfirio Daz had a positive or negative influence on Mexico? Why? 2. Do you think a dictator is necessary to stabilize a country? determine whether the sequence converges or diverges. if it converges, find the limit. (if the sequence diverges, enter diverges.)an = (-1)^n / 5nlim n->[infinity] an = ______ Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.9 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer.A. 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Determine the probability of an allele being lost during or after a population bottleneck. using fig. p12.40, at what frequency does the quadratic pole break (the 3db frequency of the quadratic pole)? given 1 = [t1] rad/s, 2 = 11rad/s, 3 = 70rad/s, and 4 = 258rad/s quantity of caco3 required to make 100 ml of a 100 ppm ca2 solution Consider a coherent orthogonal MFSK system with M = 8 having the equally likely waveforms si(t) = A cos 2nft; i = 1; ...;M; 0 Coronado Company purchased an electric wax melter on April 30, 2020, by trading in its old gas model and paying the balance in cash. The following data relate to the purchase. List price of new melter $18,012 Cash paid 11,400 Cost of old melter (5-year life, $798 salvage value) 12,768 Accumulated Depreciation-old melter (straight-line) 7,182 Secondhand fair value of old melter 5,928 Prepare the journal entries necessary to record this exchange, assuming that the exchange (a) has commercial substance, and (b) lacks commercial substance. Coronados fiscal year ends on December 31, and depreciation has been recorded through December 31, 2019. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) Consider the following two projects:Year 0 Year 1 Year 2 Year 3 Year 4 DiscountProject Cash Flow Cash Flow Cash Flow Cash Flow Cash Flow Rate-100 40 50 60 N/AAssume that projects A and B are mutually exclusive. The correct investment decision and the best rational for that decision is to:Group of answer choicesinvest in project A since NPVB < NPVA.invest in project B since IRRB > IRRA.invest in project B since NPVB > NPVA.invest in project A since NPVA > 0. compute the value of the following expressions: (a) 4630 mod 9 how many coulombs of charge travel through the electrical starter during these 0.71 seconds after you turn on the key of the ignition? The exothermic reaction, 2 Cu(s) + O2(g) - 2 CuO(s), is spontaneous O A. The reaction is nonspontaneous at all temperatures O B. Cannot be determined with the available information OC. At all temperatures D. At high temperatures O E. At low temperatures two key concepts that underlie management's design and implementation of internal control are To minimize losses to consumer surplus, protection for infant industries should be provided through: 1) subsidies. 2) quotas. 3) tariffs. 4) an overvalued exchange rate. 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The appointments must be displayed in a table format with proper labels. ./a.out -p "time" o Print all appointments at specified military time. . ./a.out -a "Appointment data" o Add an appointment given in the format: "titlel year |month day time duration". Time is given in standard time and duration is given in minutes. Leading and trailing spaces must be removed. Example: " Meeting with Bob | 2019 4 129 18:30 am 15" ./a.out -dt "title" o Delete all appointments that match a title exactly. It should work for both upper- and lower-case characters with leading and trailing spaces removed. . ./a.out -dm "time" o Delete a all appointments that match the starting military time exactly. If the daily calendar data is updated (add, delete) then all the data must be stored back in the same data file using the same format. You should be able to run the program again and see the changes reflected in the new daily agenda.