susan is making a blanket. she bought 1/3 pf a yard of material to use for the border for the blanket.susant cut the material into 4 same-size strips. what part of a whole yard is each strip

Answers

Answer 1

The fraction of the material that each strip represents is 1/12 of a yard.

Susan bought 1/3 of a yard of material to use for the border for the blanket. She cut the material into 4 same-size strips. The problem is asking for the part of a whole yard that each strip represents.

Since Susan has 1/3 of a yard of material and she cut it into 4 same-size strips, we can use division to find the fraction of the material that each strip represents.

Therefore, the fraction of the material that each strip represents is 1/3 ÷ 4.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 4 is 1/4, so we can rewrite the expression as:

1/3 ÷ 4 = 1/3 × 1/4

Now we can multiply the fractions:

1/3 × 1/4 = 1/12

Therefore, each strip represents 1/12 of the whole yard of material.

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Related Questions

How many solutions does the nonlinear system of equations graphed below
have?
O A Zero
• B. One
O C. Four
O D. Two

Answers

Answer:

D. Two.

Step-by-step explanation:

The two graphs touch each other at two different points, meaning they have two solutions.

QUESTION 6 Any square matrix multiplied by its inverse will be that size identity matrix.

Answers

Given statement: "Any square matrix multiplied by its inverse will be that size identity matrix."

The statement is correct because for a square matrix A, if it is multiplied by its inverse, we get the identity matrix of the same order. The product of the matrix with its inverse is commutative.

The identity matrix is a square matrix with 1's along the diagonal and 0's elsewhere. For example, the 3x3 identity matrix is shown below.

1 0 0

0 1 0

0 0 1

The inverse of a square matrix A is a matrix A^-1, such that AA^-1 = A^-1A = I, where I is the identity matrix.

For example, let us consider a 2x2 matrix A. A = (a, b, c, d)

The inverse of the matrix A is given by the formula. A^-1 = 1/(ad-bc) * (d, -b, -c, a)

Thus, AA^-1 = A^-1A = I, where I is a 2x2 identity matrix. Therefore, any square matrix multiplied by its inverse will be that size identity matrix.

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find the equation of a straight line passing through a point (-2, 1) and perpendicular to the line -3x +5y +2=0​

Answers

Answer:

y= -5/3x - 7/3

Step-by-step explanation:

1. solve the line

-3x +5y + 2 = 0

+3x              +3x

5y + 2 = +3x

     -2      -2

5y = +3x - 2

/5     /5

y= 3/5x -2/5

2. find slope

perpendicular lines have an opposite reciprocal slope to original line so your slope is now -5/3

3. find b ( y - intercept )

point ( -2 , 1 )

y - y1 = m ( x - x1 )

y - 1 = -5/3 ( x + 2 )

y -1 = -5/3x - 10/3

  +1               + 1

y= -5/3x - 7/3

   

TRIGONOMETRY
Grade 10 Math

Calculate to the nearest 0.1 degree, the size of alpha in the drawing above.

Will give branliest and rate 5 stars for the best answer.

Need it urgently!!!
Thanks.

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

[tex]\tan(\alpha )=\cfrac{\stackrel{opposite}{5}}{\underset{adjacent}{4}}\implies \alpha=\tan^{-1}\left( \cfrac{5}{4} \right)\implies \alpha \approx 51.3^o[/tex]

The diagram shows a square ABCD with side length k cm. MDE is a sector of a circle, centre D. E lies on the diagonal, BD, of the square. M is the midpoint of AD. Find the percentage of the square that is shaded.

Answers

The sοlutiοn οf the given prοblem οf square cοmes οut tο be  0.84% is the shaded area.

What precisely is a square?  

A square is a quadrilateral οf fοur equal faces and fοur identical angles accοrding tο Euclidean geοmetry. A shape with adjacent edges that have the same length is anοther name fοr a rectangle. If οne οf a quadrilateral's fοur triangular edges and 4 triangular angles is square, the parallelοgram is deemed tο be equilateral. A linear οr 90 ° angle is referred tο as a cubical angle.

Here,

We must determine the area οf the shaded area and divide it by the area οf the cοmplete square tο determine the prοpοrtiοn οf the square that is shaded.

A sectοr is equal tο (45/360)k²/2 = 0.125k²

Find the regiοn οf triangle BDE next. Triangle BDE is a right triangle, sο we can determine its height using the Pythagοrean theοrem:

=>  BE² + DE² = BD²

=>  BE² + k² = (k√2)²

=>  BE² = 2k² - k²

=>  BE = k√2

Therefοre, the triangle BDE's area is:

=> A(triangle) = (1/2)

=> BE*DE = (1/2)

=> (k√2)(k√2) = k²

Lastly, the area οf the darkened area is equal tο the sectοr's area less the triangle's area:

=> A(shaded) = A(sectοr) - A(triangle) = 0.125πk² - k² ≈ 0.0084k²

Cοnsequently, the amοunt οf the rectangle that is shaded is:

=> percentage = (A(shaded) / A(square)) x 100%

=> ( 0.0084k² / k²) x 100%

=> 0.84%

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(Please help!!!)The data below lists the number of pages Tamara read and the time it took her to read them.


Tamara read 35 pages in 42.5 minutes.

Tamara read 41 pages in 59 minutes.

Tamara read 56 pages in 72 minutes.


Determine which table below represents a two-column table for the given data.



Pages Time

35 42.5

59 41

72 56


Pages Time

42.5 35

59 41

72 56


Pages Time

35 42.5

41 59

56 72


Pages Time

42.5 35

41 59

56 72

Answers

The data which is given in the question is the time for tamara to read the book can be seen in a table with its respective values.

What is table?

Table is something which has rows and columns and the data is inserted into it.

Table has no restriction for the number of rows and columns. One can insert any rows and columns in the table according to their preferences.

Now in the above question,

    Tamara read 35 pages in 42.5 minutes.

    Tamara read 41 pages in 59 minutes.

     Tamara read 56 pages in 72 minutes.

 

The table will be     Pages               Time

                                 35                     42.5

                                  41                      59

                                  56                     72

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You are enclosing a circluar flower graden with a fence that cost $2. 99 per foot. The radius of a garden is 7 feet. How much will it cost to buy the fence

Answers

Answer: 20.93

Step-by-step explanation:

2.99x7

Solomon is taking out a $18,320, two-year loan with an APR of 3.29%. What will be the finance charge for this loan to the nearest dollar?

Answers

Answer:
$634.43 is the finance charge/ the interest on the loan.

HELP ME!!

In the figure shown below, ab is a tangent to circle “O” at “a”. Also ab=16, and wb=12. Find the length of the radius.

Answers

Hi, Hope it helps you!

It’s not that complicated! If u have any question, fell free to ask! :)

Consider a multinomial distribution with 3 different outcomes, that is,
(Z1, Z2, Z3)∼ Multinomial(n,p1,p2,p3),p1+p2+p3​=1. Derive the conditional distribution of Z2 given Z1=z1. That is, work out its pmf and name the distribution.

Answers

z3 = n − k − z1 − z2

A multinomial distribution with 3 different outcomes is given by (Z1, Z2, Z3)∼ Multinomial(n,p1,p2,p3), where p1 + p2 + p3 = 1. The conditional distribution of Z2 given Z1=z1 is to be derived. The pmf and distribution will be found.Let k be the number of trials with Z1 = z1. Therefore, the number of trials with Z2 = z2 is n − k. Then, the conditional distribution of Z2 given Z1=z1 is(Z1,Z2=n−k,Z3)∼Multinomial(k,p1,p2,p3)×Multinomial(n−k−1,p1′,p2′,p3′),where p1' = p1 / (1 − p1), p2' = p2 / (1 − p1), and p3' = p3 / (1 − p1).As a result, the pmf of the conditional distribution of Z2 given Z1=z1 is given byP(Z2 = z2 | Z1 = z1) = (k!/(z1!z2!(n−k−z1−z2)!))×(p1z1p2z2p3n−k−z1−z2)×(n−k−1)!/(z3!(n−k−z3−1)!(p1'z1+p2'z2+p3'z3)n−k−1), where z3 = n − k − z1 − z2. The distribution obtained is named a "conditional multinomial distribution".

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Tell whether the triangle with the given side lengths is a right triangle. 45 in., 26 in., 51 in.​

Answers

A it is nearly but not a right angled triangle.

Step-by-step explanation:

I used pythagorous theorum.

Answer:

No it is not

Step-by-step explanation:

Hypotenuse is the longest side

A ² = B² + C² (Using Pythagoras theorem)

51² = 45² + 26²

2601 =2025 +676

2601 = 2701

This is not a right angle triangle

Square root of 2701 is 51.57 and that is equivalent to 52

∠A and


∠B are vertical angles. If m


=
(
2

+
19
)

∠A=(2x+19)

and m


=
(
3


18
)

∠B=(3x−18)

, then find the measure of


∠A

Answers

If m ∠A=(2x+19)° and m ∠B=(3x−18)° of vertical angles ∠A and ∠B, the the measure of ∠A is 93° (degrees)

Vertical angles are formed when two lines intersect. They are opposite to each other and have the same measure. Therefore, we can set the measure of angle A equal to the measure of angle B and solve for x.

m ∠A = m ∠B

2x + 19 = 3x - 18 (Substitute the given measures of ∠A and ∠B)

19 + 18 = 3x - 2x (Add 2x to both sides and subtract 19 from both sides)

37 = x

Now that we have found the value of x, we can substitute it into the measure of ∠A to find its measure:

m ∠A = 2x + 19

m ∠A = 2(37) + 19 (Substitute x = 37)

m ∠A = 93

Therefore, the measure of ∠A is 93 degrees.

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Complete Question

∠A and ∠B are vertical angles. If m ∠A=(2x+19)° and m ∠B=(3x−18)°, then find the measure of ∠A

Answer the question below:
Fill in the Box and give the frequency for A,B,C and D.

Answers

Answer is
A: 1
B: 2
C: 7
D: 2

alice, bob and carol each think of an expression that is a fraction with 1 as the numerator and a constant integer times some power of x as the denominator. the simplest common denominator of alice's and bob's expressions is 4x2. the simplest common denominator of bob's and carol's expressions is 12x3. the simplest common denominator of alice and carol's expressions is 6x3. find all possible expressions that could be carol's

Answers

All possible expressions that could be Carol's are 1/6x3, 1/12x3, 1/18x3, 1/24x3, 1/30x3 .

Alice, Bob and Carol each think of an expression that is a fraction with 1 as the numerator and a constant integer times some power of x as the denominator. The simplest common denominator of Alice's and Bob's expressions is 4x2, while the simplest common denominator of Bob's and Carol's expressions is 12x3. The simplest common denominator of Alice's and Carol's expressions is 6x3. To explain further, Alice's expression can be any fraction with 1 as the numerator and a constant integer times x2 as the denominator, therefore, the denominator of Alice's expression can be any multiple of 4, i.e. 4x2, 8x2, 12x2, 16x2, 20x2 and so on.

Bob's expression can also be any fraction with 1 as the numerator and a constant integer times x2 as the denominator. However, the denominator of Bob's expression must be a multiple of both 4 and 6, i.e. 12x2, 24x2, 36x2, 48x2 and so on. Therefore, Carol's expression must be in the form of a fraction with 1 as the numerator and a constant integer times x3 as the denominator. This means that the denominator of Carol's expression must be a multiple of 6, i.e. 6x3, 12x3, 18x3, 24x3, 30x3 and so on. Hence, all possible expressions that could be Carol's are 1/6x3, 1/12x3, 1/18x3, 1/24x3, 1/30x3 and so on.



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find an equation of a line with a slope of -1 and having the point (-2,-6) on the line

Answers

Answer: is there a pic?

Step-by-step explanation: is there a pic of what your working on?

Answer:

y=-x-8

Step-by-step explanation:

formular for finding an equation on a line is y-y1=m(x-x1) whiles m is the slope or gradient then x1 is -2 and y1 is -6 then you substitute to the formular you state down

Evaluate : x = 3 , y = -6 then
4y - 6x = xy?​

Answers

"Substituting x = 3 and y = -6 in the given equation, we get:

4y - 6x = xy

4(-6) - 6(3) = (3)(-6)

-24 - 18 = -18

-42 ≠ -18

Therefore, the given equation is not true for x = 3 and y = -6." (ChatGPT, 2023)

(Please answer quickly!!!!)Simplify the expression.

−9.71 + 2.8

−12.61
−9.73
−6.91
69.10

Answers

Answer:

Step-by-step explanation:

−9.71 + 2.8 = -6.91

Answer:

6.91.

9.71

2.8

6.1

if you subtract 9.71 from 2.8 keep everything in point

Roberto will put a border around the edges of the platform how much border will he need if the area is 12 square units?

Answers

The amount of border that Roberto will need to put around the edges of the platform, given the area is 16 units.

How to find the amount of border ?

The platform is given in the figure and to find the amount of border that Roberto needs to cover it if the area is 12 square units, you need to count the number of dots all along the edges of the platforms.

Counting this would give us 16 dots. This then means that Roberto needs sixteen units of border to be able to put up a border around the edges of the platform.

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I HAVE 5 MINS PLEASE HELPPPPPPPPP 30point

Answers

Never true;

The sum of two irrational numbers is irrational

Always true;

The sum of two rational numbers is rational

The product of two rational numbers is rational

Sometimes true;

The product of two irrational numbers is irrational

What are rational numbers?

Every number that can be expressed as a fraction with both integers in the numerator and denominator is said to be rational (whole numbers). Numerator cannot be zero.

Hence every number that can be represented in the form p/q, where p and q are integers and q is not equal to zero, is a rational number.

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A NFL kicker misses 2 out of every 11 field goals. If he misses 8 field goals throughout the season, how many did he attempt

Answers

Answer

:44 field goals

Step-by-step explanation:

Answer:

44 attempts

Step-by-step explanation:

What is a ratio?

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

The ratio for this problem is:

2: 11 (field goals missed: total attempts)

To get from 2 to 8, we multiply the 2 by 4.

2 × 4 = 8

The ratio is now:

8:?

To solve for '?', we can simply multiply the 11 by 4, just like what we did with the 2.

11 × 4 = 44

Now the ratio is:

8: 44

If the ratio has 44 as the second number, we know that it is the total attempts. Therefore, he attempted 44 field goals.

Dima has twice as many books as Ramiro. If dima gives 12 books to Ramiro, they will have the same number of books.How many books do they have in total

Answers

Answer:

They have 36 books in total.

Step-by-step explanation:

Let d = The number of Dima's books

Let r = The number of Ramiro's books.

d = 2r

d - 12 = r Substitute 2r for d in the second equation and solve for r

2r - 12 = r   Subtract 2r from both sides

2r - 2r - 12 = r - 2r

-12 = -r  Multiply both sides by -1

12 = r

Ramiro has 12 books.

d = 2r substitute 12 for r and solve for d

d = 2(12)

d = 24

Dima has 24 books.

Together they have 36 books (12 + 24)

Helping in the name of Jesus.

Answer:36

Step-by-step explanation:

Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly.

Answers

The sample space for Ted's experiment is TTT, TTH, THT, HHH, HHT, HTH, THH, HTT ( option C)

What Is sample space ?

The sample space of a random experiment is the collection of all possible outcomes.

When we toss a coin, there can be only two outcomes i.e., either head or tail. So, the sample space will be, S = {H, T} where H is the head and T is the tail.

When Ted tossed the coin three times, the sample space include;

TTT, TTH, THT, HHH, HHT, HTH, THH, HTT

This means the total sample space is 8.

Therefore the sample space for Ted's experiment is TTT, TTH, THT, HHH, HHT, HTH, THH, HTT

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Under her cell phone plan, Sydney pays a flat cost of $35.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Sydney can use while staying within her budget.

Answers

The number of gigabytes that Sydney can use while staying within her budget is less than 2.9 gigabytes.

How to illustrate the information?

From the information, Sydney pays a flat cost of $35.50 per month and $5 per gigabyte. She wants to keep her bill under $50 per month.

The inequality that can be used to determine x x, the number of gigabytes Sydney can use while staying within her budget will be:

35.50 + 5x < 50

Collect like terms

5x < 50 - 35.50

5x < 14.50

x < 14.50 / 5

x < 2.9

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What is QS and what is c = to

Answers

The value of QS is 4.5c + 9.5.

What is parallelogram?

A parallelogram is a four-sided plane figure with opposite sides parallel and equal in length. Its opposite angles are also equal.

Since Q is the midpoint of the diagonals RT and SU in parallelogram RSTU, we have:

QS = 1/2 RT ...(1)

QU = 1/2 SU ...(2)

Also, since RU||ST and RS||UT, we know that triangles QRU and QST are similar by AA similarity, so:

QR/QS = QU/QT

Substituting the given values and using (1) and (2), we get:

QR/(6c - 8) = (c + 7)/QT

Cross-multiplying and simplifying, we get:

QR = (6c - 8)(c + 7)/(2c - 1)

QR = (6c^2 + 34c - 56)/(2c - 1)

QR = 3(2c^2 + 11c - 18)/(2c - 1)

QR = 3(2c - 1)(c + 9)/(2c - 1)

QR = 3(c + 9)

Now, using (1), we have:

QS = 1/2 RT

QS = 1/2 (QR + RU)

QS = 1/2 (3(c + 9) + (6c - 8))

QS = 1/2 (9c + 19)

QS = 4.5c + 9.5

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1. The graph shown is a graph of f'(x). If f(2)=5, use the graph to find f(8).

A. 16.5
C. 25.5
D. 21.5
E. 25​

Answers

The value of f(8) is equal to D)21.5.

What is meant by area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

The graph of f'(x) is given in the figure.

We know that

[tex]\int\limits^a_b {f'(x)} \, dx =f(a)-f(b)[/tex].

Therefore since we have f(2) and we have to find f(8), we will take the area under the given graph from x=2 to 8

[tex]\int\limits^8_2 {f'(x)} \, dx =f(8)-f(2)\\\\2*3+2*3+\frac{1}{2}*3*3=f(8)-5\\ 16.5=f(8)-5\\f(8)=21.5[/tex].

Therefore f(8) is equal to D)21.5.

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When eighteen is reduced by one-third of a number, the result is 9. Find the number.​

Answers

Answer:

27

Step-by-step explanation:

aone third of 27 is 9, and 18 - 9 = 9

Find the length of the diagonals of rectangle WXYZ. WY = 14x + 10; XZ = 11x + 22

Answers

The length of the diagonal of the rectangle is 66

How to find the diagonals of the rectangle?

Here we have the rectangle WXYZ.

In that notation, we would have:

WX

XY

YZ

ZW

As the sides

And:

WY

XZ

as the diagonals.

We know that the values of the two diagonals must be the same ones, then we can write:

WY = XZ

14x + 10 = 11x + 22

Now we can solve that for x.

14x - 11x = 22 - 10

3x = 12

x = 12/3 = 4

then the length of the diagonal is:

WY = XZ = 14*4 + 10 = 66

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Directions: Work in your small group to complete this worksheet Submit the completed Wor full credit. Canvas by the beginning of the next class. All answers must be justified and work Trigonometric functions are periodic, meaning they repeat the same pattern as x goes toward positive and negative infinity. Hence, trigonometric functions fail to be one to one. Recall, one to one functions must pass BOTH vertical and horizontal line tests. Therefore, to define the trigonometric inverse functions, we must restrict the domain of each trigonometric function to a place where the function IS one to one. 1. Let g(x) be the function whose domain is [0,π] and whose outputs are determined by cos(x) on this interval. Hence, g(x) is the solid line part of the graph pictured to the right. Note: g(x) is defined in terms of cos(x), however g(x)=cos(x) since it has a different domain. a) Does y=cos(x) have an inverse function? Why or why not? b) Explain why g(x) has an inverse function, g−1(x)=cos−1(x). c) State the domain and range of g(x) in interval notation. Domain: Range: d) State the domain and range of g−1(x)=cos−1(x) in interval notation. Domain: Range:

Answers

a)Does not have an inverse function

b) g(x) has an inverse function

c)Domain of g(x) is [0, π],range is [-1, 1]

d)domain of g−1(x)=cos−1(x) is [-1, 1], range is [0, π]


a) No, y=cos(x) does not have an inverse function because it fails the vertical line test.
b) g(x) has an inverse function, g−1(x)=cos−1(x), because it passes the vertical and horizontal line tests when its domain is restricted to the interval [0, π].
c) The domain of g(x) is [0, π], and the range is [-1, 1] in interval notation.
d) The domain of g−1(x)=cos−1(x) is [-1, 1], and the range is [0, π] in interval notation.

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The equation of the passing through the points
(-1,-4) and (3,0)

Answers

The equation of the line passing through the points (-1, -4) and (3, 0) is y = x - 3.

To find the equation of the line passing through two points, we need to use the point-slope form of the equation of a line.

Point-slope form: y - y₁ = m(x - x₁)

where:

(x₁, y₁) is one of the given points on the line

m is the slope of the line

To find the slope of the line passing through (-1, -4) and (3, 0), we can use the formula:

m = (y₂ - y₁)/(x₂ - x₁)

where:

(x₁, y₁) = (-1, -4)

(x₂, y₂) = (3, 0)

m = (0 - (-4))/(3 - (-1))

m = 4/4

m = 1

Now we can use either of the two points and the slope to write the equation of the line.

Let's use point (-1, -4):

y - (-4) = 1(x - (-1))

y + 4 = x + 1

y = x - 3

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Find the length of an edge of a square whose diagonals are of length 10cm

Answers

Answer:

Step-by-step explanation:

Diagonals intersect at 90°.

[tex]x^2=5^2+5^2[/tex]    (Pythagoras Theorem)

    [tex]=50[/tex]

[tex]x=\sqrt{50}[/tex] cm =7.07 cm

Answer:

7.07 cm

Step by step explanation:

Let's use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In a square, the diagonals are the longest sides and they are equal in length. Let x be the length of one of the sides of the square, then we can use the Pythagorean theorem to find x:

(diagonal)^2 = (side)^2 + (side)^2

10^2 = x^2 + x^2 (since the diagonal is the hypotenuse of a right triangle formed by the two sides of the square)

100 = 2x^2

x^2 = 50

x = sqrt(50) = 5 * sqrt(2)

Therefore, the length of an edge of the square is 5 * sqrt(2) cm (approximately 7.07 cm to two decimal places).
Other Questions
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