Answer:
less than < the first option
25. ALGEBRA Angle E and Angle F are supplementary. The measure of angle E is 54 more than the
measure of Angle F. Find the measures of each angle.
The measure of each angle is , ∠E = 117° and ∠F = 63°
What is an angle ?In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can also say that the angle is a figure formed by two rays with having same initial point. The rays are also known as the sides of the angle. A angle can have two rays.
What are supplementary angles?Angles which are on the same line are supplementary angles. The sum of supplementary angles are always equals to 180 degree.
Some common terms related to angles :
Endpoint : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.In the given question:
Let measure of ∠E = x
and, measure of ∠F = y
as ∠E and ∠F are supplementary angles therefore their sum is 180
i.e. m∠E + m∠F = 180
=> x + y =180
also, m∠E is 54 more than m∠F
=> y+54 + y = 180
=> 2y + 54 = 180
=> y = 180-54 / 2 = 63
and , x = y + 54 = 63 + 54 = 117
Hence, ∠E = 117 degree and ∠F = 63 degree
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As the balloon inflates at 20 cubic inches per second, the diameter and radius are changing. let's focus on the moment when the radius is 12 inches. share your answer with correct units.
At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.
To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.
Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.
Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:
\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)
Simplifying the equation:
\(20 = 576\pi \left(\frac{dr}{dt}\right)\)
Dividing both sides by 576π:
\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)
Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.
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What is the value of x
Answer:
35
Step-by-step explanation: I used a protractor
Answer:
35 degrees.
Step-by-step explanation:
To figure this question out, we first need to understand how to solve it. We know that all the angles in a triangle add up to 180 degrees. we can imagine this is a massive triangle. We can do the following
73 + 51 + (21+x) = 180
we can do this, because we already know the other two angles, and we know part of the last angle is 21, and the other part of the last angle is x. We can add them all together.
124 + 21 + x =180
145 + x =180
35 = x
Devin walked 4.5 miles. There are approximately 1.6 kilometers in 1 mile.
How many kilometers did Devin walk, rounded to the nearest tenth?
Answer:
Approximately 7.2 kilometers
Step-by-step explanation:
4.5(miles walked)*1.6(kilometers in mile)=7.2(kilometers in 4.5 miles)
Answer:
7.2 kilometres
Step-by-step explanation:
4.5 * 1.6
A bookshop sold a total of 2750 books in January.
(a) The ratio hardback books sold: paperback books sold
Calculate how many paperback books were sold.
Based on the information, it can be inferred that of the 2,750 books, 1,750 are hardback and 1,000 are paperback.
How to calculate how many books of each type of pasta there are?Based on the information, to find the number of books of each type in a group of 2,750 we must perform the following operations.
We must first identify how many "groups" of books have been sold. Therefore we add 4 and 7.
4 + 7 = 11Once we have this result, we divide the total number of books sold into groups of 11.
2,750 / 11 = 250Once we have this result we know that in the total sale of 2,750 books. There are 250 groups of 11 books, of which 4 are hardback and 7 are paperback. So, to find how many paperbacks were sold we must multiply the number of groups by the number of paperbacks in each group:
250 * 7 = 1,750Note: This question is incomplete because there is some information missing. Here is the complete information
A bookshop sold a total of 2,750 in January. (A) The ratio hardback books sold: paperback books sold is 4:7
Calculate how many paperback books were sold.
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A toy box has six faces that are squares there are 12 edges and eight vertices identify the shape of the toybox
Answer:
I believe it would be a cube.
Step-by-step explanation:
The 6 faces would be squares with their vertices connecting at the corners, giving them 8 in total. and their 12 edges would be like bridges connecting the vertices.
Mika used division to rewrite 5/40
as 0.125. Explain what she should do next to convert 0.125 to a percent.? HELPPP
Answer:
12.5%
Step-by-step explanation:
So, Mika did do the division right. So we can get that out of the way. In order to convert to a percent, you just simply move the decimal point over two times. In this case, we have 0.125. We move it over twice to get 12.5. Now, we just plop the percentage next to it to get: 12.5%.
May I have Brainliest please? I am so close to getting my next ranking! I just need 2 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
12.5%
(can also be written as:)12\(\frac{1}{2}\)%
Step-by-step explanation:
She should bring the decimal point over two places to the right.
To convert decimals to percents ALWAYS bring the decimal point two places to the right and and a percentage sign.
the probability that a new microwave oven is damaged during delivery is 0.10. given that a new microwave oven is damaged during delivery, what is the probability that it stops working in less than 2 years?
The probability that it stops working in less than 2 years is 0.40.
Given:
the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10.
here
P ( A ∩ B ) = 0.04
P ( A ) = 0.10
we know that,
According to conditional probability:
P ( B / A ) = P ( A ∩ B ) / P ( A )
substitute values
= 0.04 / 0.10
= 004 / 100 / 010/100
= 4 / 100 * 100 / 10
= 4 * 100 / 100 * 10
= 4 * 1 / 10 * 1
= 4 / 10
= 0.40
Therefore the probability that it stops working in less than 2 years is 0.40.
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PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3
The volume of the Illustrated cone used as an example is 51.3cm³.
How to calculate the volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²
Let's say the radius is 7cm. The volume will be:
= 1/3 × 3.14 × 7²
= 51.3cm³
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pls help me with this question
Answer:
1. Wooden spoons
2. kitchen shears
3.cutting board
4. measuring spoons
5. measuring cups
6. Rubber spatulas
7. whisk
8. rotary beater
9. whisk
10. colander
The sum of the squares of two consecutive even integers is 1684. Find the integers.
The possible values of two consecutive even integers, of which the sum of their squares is 1684, are 28 and 30 for positive integers, while for negative integers, they are -28 and -30.
The difference between two consecutive even integers is 2.
Let the integers be a and (a+2). Then,
a² + (a + 2)² = 1684
a² + a² + 4a + 4 = 1684
2a² + 4a - 1680 = 0
a² + 2a -840 = 0
Hence, we get a quadratic equation.
There are three methods of solving a quadratic equations: by factoring, completing the square, and by using the abc formula.
Use the factoring method:
a² + 2a -840 = (a - 28) (a + 30)
a = 28 and a = -30
Hence, if the integers are positive, they are: 28 and 30.
If the integers are negative, they are -28 and -30.
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35 POINTS PLS HELPPP I NEED IT FAST
Answer: They are Colinear.
Colinear means that they all lie in the same line. Since A rotates 180 degrees, it means that A and A' forms a straight line. You should know this in middle school(Well, I knew this in elementary school)
XYZ Ltd acquires 100 per cent of Red-X Ltd on 1 July 2021. XYZ Ltd pays the shareholders of Red-X Ltd the following consideration: Cash 91 835 Plant and equipment fair value $327 983; carrying amount in the books of ABC Ltd $222 912 Land fair value $393 579; carrying amount in the books of ABC Ltd $262 386 There are also legal fees of $249 267 involved in acquiring Red-X Ltd. On 1 July 2021 Red-X Ltd’s statement of financial position shows total assets of $393 579 and liabilities of $393 575. The fair value of the assets is $1 049 544. Required: Has any goodwill been acquired and, if so, how much? And discuss the potential for including associated legal fees into the cost of acquiring Red-X using appropriate accounting standard.
Goodwill acquired and associated legal fees: In the question, XYZ Ltd acquired 100% of Red-X Ltd on 1 July 2021. For this acquisition, XYZ Ltd paid the shareholders of Red-X Ltd a combination of cash, plant and equipment, and land. There are also legal fees of $249,267 involved in acquiring Red-X Ltd. Red-X Ltd’s statement of financial position shows total assets of $393,579 and liabilities of $393,575 on 1 July 2021.In order to determine whether goodwill has been acquired as a result of the acquisition, we first need to calculate the fair value of the consideration transferred.
The fair value of the consideration transferred is as follows: Cash consideration paid: $91,835Fair value of plant and equipment transferred: $327,983Fair value of land transferred: $393,579Total fair value of the consideration transferred: $813,397As we can see, the fair value of the consideration transferred exceeds the fair value of the net assets acquired ($1,049,544 - $393,575 = $655,969). Therefore, goodwill has been acquired as a result of the acquisition. The amount of goodwill acquired can be calculated as follows:Goodwill = Fair value of the consideration transferred - Fair value of the net assets acquiredGoodwill = $813,397 - $655,969Goodwill = $157,428Therefore, goodwill of $157,428 has been acquired as a result of the acquisition.Regarding the potential for including associated legal fees into the cost of acquiring Red-X, the IFRS 3 Business Combinations standard provides guidance on this matter. According to this standard, the costs of acquiring a business should be included in the cost of the acquisition. These costs include professional fees, such as legal and accounting fees, that are directly attributable to the acquisition. Therefore, the legal fees of $249,267 involved in acquiring Red-X Ltd should be included in the cost of acquiring Red-X Ltd.
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If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd and include them in the cost of acquiring Red-X Ltd.
Part 1: Calculation of Goodwill
Goodwill is calculated as the difference between the fair value of consideration paid and fair value of net assets acquired.
Let us calculate the fair value of consideration paid to the shareholders of Red-X Ltd.
Cash 91 835 Plant and equipment fair value $327 983; carrying amount in the books of ABC Ltd $222 912
Land fair value $393 579; carrying amount in the books of ABC Ltd $262 386
Fair value of consideration paid = $91,835 + $327,983 + $393,579 = $813,397
Fair value of net assets acquired = Total assets - Total liabilities
Fair value of net assets acquired = $1,049,544 - $393,575
= $655,969
Goodwill = Fair value of consideration paid - Fair value of net assets acquired
= $813,397 - $655,969
= $157,428
Therefore, the amount of goodwill acquired by XYZ Ltd is $157,428.
Part 2: Accounting Treatment of Legal Fees
According to the International Financial Reporting Standards (IFRS), the legal fees associated with the acquisition of a company are recognized as an expense in the statement of profit or loss and are not included in the cost of the acquisition.
Therefore, XYZ Ltd cannot include the legal fees of $249,267 in the cost of acquiring Red-X Ltd.
However, the Accounting Standards for Private Enterprises (ASPE) allow the capitalization of legal fees incurred during the acquisition process.
These legal fees are included in the cost of the acquisition.
If XYZ Ltd were following ASPE, they could capitalize the legal fees and include them in the cost of acquiring Red-X Ltd.
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Is it true that If A is n×n and detA = 2, then detA^3 = 6.
It is not true that if A is an n × n matrix with detA = 2, then detA³ = 6.
det(A³) = det(A × A × A) = det(A) × det(A) × det(A) = (det(A))³ = 2³ = 8
detA³ = 8, not 6.
The determinant of a matrix is a scalar value that encodes various properties of the matrix.
One of the properties is the volume scaling factor that is induced by the matrix transformation.
The determinant has the property that det(kA) = kⁿ × det(A) for any scalar k and n × n matrix A, where n denotes the dimension of the matrix.
Therefore, we have:
det(A³) = det(A × A × A) = det(A) × det(A) × det(A) = (det(A))³ = 2³ = 8
detA³ = 8, not 6.
The determinant of a matrix raised to a power is not simply obtained by raising the determinant to the same power.
The determinant of a matrix raised to a power can be obtained by raising the determinant of the matrix to the power and then multiplying by the scaling factor induced by the matrix transformation.
Specifically, for a matrix A with detA = 2 and an integer k, we have:
\(det(A^k) = (det(A))^k \times scaling factor induced by A^k\)
The scaling factor induced by \(A^k\) can be computed by considering the effect of \(A^k\) on the unit hypercube.
This calculation requires the use of linear algebra and is beyond the scope of this answer.
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2 + 3 + 8 + 1 + 9 + 10 - 11 +10 = ?
Answer:
22
Step-by-step explanation:
2 + 3 + 8 + 1 + 9 + 10 - 11 +10 = ? can be evaluated from left to right, as follows:
5 + 8 + 1 + 9 + 10 - 11 +10 = ?
13 + 10 - 11 + 10, or
23 - 11 + 10, or
12 + 10, or
22
You have been asked to check EOQ figures. You have been given the following data: demand is 19012 units per quarter, 5 - \( \$ 120 \) per ordes, Brice = 35 per unte and holding using their current ord
Based on the given data,the calculated Economic Order Quantity( EOQ) is approximately 360.50 units.
Based on the given data, we can calculate the Economic Order Quantity (EOQ) using the formula:
EOQ = sqrt((2 * demand * setup cost) / holding cost)
First, we need to determine the setup cost, which is given as $120 per order. The holding cost is $35 per unit.
Demand = 19012 units per quarter
Setup cost = $120 per order
Holding cost = $35 per unit
Substituting these values into the EOQ formula:
EOQ = sqrt((2 * 19012 * 120) / 35)
= sqrt(4562880 / 35)
≈ sqrt(130082.29)
≈ 360.50
Therefore, the calculated EOQ is approximately 360.50 units.
To check the EOQ figures, you would compare this result to their current order quantity. If their current order quantity is close to 360.50 units, then the EOQ figures are in line with their current practice. However, if the current order quantity significantly differs from 360.50 units, further analysis may be required to understand the factors influencing their ordering decisions.
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mr. eaton is ordering sandwiches for a school picnic. the best deal is the 6-foot-long sandwich, which is cut into 4-inch-long pieces. mr. eaton expects 90 people to attend the picnic. he thinks each person will eat 2 pieces. how many 6-foot-long sandwiches should he order?
He should order 10 sandwiches of 6 foot long so, as to make sure that everyone will eat 2 pieces.
What is Conversion ?We need to convert between the units in order to ensure the accuracy and to prevent measurement misinterpretation. For example, we do not measure the pencil's length in kilometres. In this situation, one must convert from kilometres (km) to centimetres (cm) (cm). In most cases, multiplicative conversion factors are used to convert one unit to another of the same quantity. Let's see how to change the length and mass units.
1 Feet = 12 Inches
So, 6 Foot = 72 inches
The Length of sandwich- piece is 4 inch
So, when we convert 6 foot long sandwich into 4 inch,
Then we get number of piece is = 72/4 = 18
From 6 foot long sandwich we get 18 pieces of 4 inch long sub.
Now, Total people who will attend picnic is 40
and each people will eat 2 pieces.
It means total number of piece required = 2 (90) = 180
Mr. eaton required 180 pieces of sandwiches.
Number of sandwiches = 180 / 1.8 = 10
He should order 10 sandwiches of 6 foot long.
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I need to know this
Answer:
x = 2 , y = - 1
Step-by-step explanation:
2x + 6y = - 2 → (1)
- 6x - 8y = - 4 → (2)
multiplying (1) by 3 and adding to (2) will eliminate x
6x + 18y = - 6 → (3)
add (2) and (3) term by term to eliminate x
(- 6x + 6x) + (- 8y + 18y) = - 4 - 6
0 + 10y = - 10
10y = - 10 ( divide both sides by 10 )
y = - 1
substitute y = - 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 6(- 1) = - 2
2x - 6 = - 2 ( add 6 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
8. What is the equation of a line that is parallel to
the line y = x + 11 and passes through the point
(-3,5)?
Answer:
y = x + 8
Step-by-step explanation:
b = 5 - (1)(-3)
b = 5+3
y = x+8
What is the measure of arc DEF?
Answer:
c
Step-by-step explanation:
Shade 2/3 of this grid
Answer:
The answer is in the attachment
Step-by-step explanation:
!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
Step-by-step explanation:
Hope its helpful for you!!
what is the advantage of using a chart or graph rather than a table?
Answer:
According to Stephen Few, charts reveal more than a collection of individual values. Because of their visual nature, they show the overall shape of your data. This is when you should use charts instead of tables: The message is contained in the shape of the values (e.g. patterns, trends, exceptions).
(1/2)^4 as a fraction
Answer:
1/16
Step-by-step explanation:
1/2 to the power of 4 is 1/16
Answer:
\(\frac{1}{16}\)
Step-by-step explanation:
In the expression 3x-10 which would be the constant
Answer:
-10
Step-by-step explanation:
The constant is the part of the algebraic function or expression that does not change. In this case, as x changes, the constant -10 does not. Thus, -10 is the constant.
how many meters will a point on the rim of a wheel travel if the wheel makes 35 rotations and its radius is one meter
A point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.To find the distance traveled by a point on the rim of a wheel, we need to first calculate the circumference of the wheel. The circumference is equal to the diameter of the wheel multiplied by pi (π).
However, since we are given the radius of the wheel, we can simply multiply the radius by 2 and then by pi to get the circumference.
The formula for calculating the circumference of a circle is:
Circumference = 2 × pi × radius
C = 2 × pi × r
C = 2 × 3.14 × 1 (since the radius is given as one meter)
C = 6.28 meters
Now that we know the circumference of the wheel, we can easily calculate the distance traveled by a point on the rim of the wheel if it makes 35 rotations.
The formula for calculating the distance traveled by a point on the rim of a wheel is:
Distance = Circumference × number of rotations
D = C × n
D = 6.28 × 35
D = 219.8 meters
Therefore, a point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.
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10. If ACDE - AWXY with a scale factor of 4:3,
find the perimeter of AWXY.
13 + 29 + 22 = 64
64/x = 4/3
4x = 64 * 3
x = 192/4 = 48
answer = 48
Samir is raising money for a school trip by selling candy bars and bags of chips. The
price of each candy bar is $1 and the price of each bag of chips is $2. Yesterday Samir
made $32 from selling a total of 20 candy bars and bags of chips. Graphically solve a
system of equations in order to determine the number of candy bars sold, x, and the
number of bags of chips sold, y.
The number of candy bars sold, x, is equal to 8 candy bars.
The number of bags of chips sold, y, is equal to 12 chips.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would assign variables to the number of bags of chips sold and the number of candy bars sold respectively, and then translate the word problem into a linear equation as follows:
Let the variable y represent the number of bags of chips sold.Let the variable x represent the number of candy bars sold.Since the price of each candy bar is $1 and the price of each bag of chips is $2, and he made $32 from selling a total of 20 candy bars and bags of chips, a system of linear equations to describe this situation can be written as follows;
x + y = 20
x + 2y = 32
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Pls help me out with this!!!
The correct formula for the expression is,
⇒ f (x) = - 6 cos (π/4.5x - 2π) + 2
Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a function:
f(x) = a cos(bx + c) + d
Here a is the amplitude:
Since, The value of d is the average of maximum and minimum.
Hence, d = (9 - 5)/2 = 4/2 = 2
And, The value of 'a' is the difference between the maximum value and d.
Hence, a = -4 -(2) = - 6
Here, the half-period is,
= π - 3π/4) = π/4
= b = 2π/9 = π/4.5
The value of c is the value makes the cosine zero at x= 9
⇒ (π/4.5)(9) +c = 0
⇒ c = -2π
Hence, Function is,
f (x) = - 6 cos (π/4.5x - 2π) + 2
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Answer:
The correct answer would be:
f (x) = - 6 cos (π/4.5x - 2π) + 2
Please help me with this also if you may, Tell me how you got what you got. Worth a lot of points :)
Answer
Step-by-step explanation:
i need the form of opperations what are you doing? standard form algerbraic roots with mixed fractions?
I need help with my math homework it’s overdue someone please please help me
Answer: 2.5833
Step-by-step explanation:
K = 1/4 or .25
3/5 = .6
3 - 0.25 / .6 = 2.5833