Please answer both of the questions pleaseeee

The value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a circle shown in the picture.

The angle APE = 90 degree (from the figure)

25x + 15 = 90

25x = 75

x = 3

The measure of arc CDE = (20x + 4) + (33x - 9) = 53x -5

= 53(3) -5

= 154 degree

Thus, the value of the x is 3 and the measure of the arc is 154 degree if the angle APE is 90 degree.

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Therefore , the solution of the given problem of area comes out to be

AB/DC =5.

Area is the quantity that describes how much space .A surface or an object's shape occupy. Use a pencil to mark a square on the paper. Specifically, a 2-D figure. A shape's area on paper is referred to as its "Area" in this sentence. Imagine that your square is made out of more compact unit squares.

Here,

Since the heights of both trapezoids are equal, and the area of ABEF is twice the area of FECD,

=> AB+ EF/2 = 2(DC+EF /2)

=> AB + EF / 2= DC + EF,

=> AB + EF = 2DC + 2EF.

EF is exactly halfway between AB and DC, so EF =

AB + (AB+ DC)/2 = 2DC+ AB + DC, so

3/2 AB +  1/2DC = 3DC+AB,

and

=> 1/2AB =5/2DC

=> AB/DC =5

Therefore , the solution of the given problem of area comes out to be

AB/DC =5.

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Answer:

7/3

Step-by-step explanation:

use the rise over run formula

Answer:

9 feet

Step-by-step explanation:

3X3=9 feet therefore 3 yards is equal to 9 feet

Answer:

\(36m {}^{2} - 27mn - 10m + 2n\)

Step-by-step explanation:

Use distributive law.

Work with one bracket at a time.

Watch out for the signs!

Answer:

dimes: 5

quarters:8

Step-by-step explanation:

she has 2$ in quarters and $0.25 in dimes

Answer:

10 Dimes and 5 Quarter

Step-by-step explanation:

Important info:

18 Coins worth a total of $2.25

Note:

Dimes = .10

Quarter = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many each type of Coin does she have?

Solution:

Lets get rid of .25 in $2.25 :)

So that 1 Quarter..

2.00

Takes away 1.00 = 10 Dimes

Now we have 1 Quarter and 10 Dimes.

1.00 Left..

4 Quarter = 1.00

So now we have 5 Quarter and 10 Dimes..

Check Work:

5 Quarter = 1.25 and 10 Dimes = 1.00

1.25+1.00=

$2.25

Hence. Loria has 5 Quarter and 10 Dimes.

{ Couldn't figure out 18 Coins worth a total of $2.25 the closest I could get was 15 Coins worth a total of $2.25}

~[ RevyBreeze]~

Answer:

x=1

y=√3

Step-by-step explanation:

The triangle is an equilateral triangle (you can tell this because every angle is 60º), so each side is the same. The value of x would be half of the side (2), giving you 1.

After you have the value of x, you can use the Pythagorean Theorem to find the value of y.

The height and radius that minimize the amount of material needed to manufacture the can are given by h = 500 / ((500/π)^(2/3)) , r = (500/π)^(1/3)

To minimize the amount of material needed to manufacture the can, we can consider the volume of the cylindrical can as the objective function to minimize.

Let's denote the height of the can as "h" and the radius of the base as "r". The volume of a cylinder is given by the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We need to find the values of r and h that satisfy the condition of holding 500 cm^3 of liquid while minimizing the surface area of the can. The surface area of the can consists of the curved surface area and the area of the circular base.

To minimize the surface area, we can use the constraint that the volume is 500 cm^3 to eliminate one variable.

From the volume equation, we have:

πr^2h = 500

Solving for h, we get:

h = 500 / (πr^2)

Now, we can substitute this value of h in terms of r into the surface area formula, which is given by:

A = 2πrh + πr^2

Substituting the value of h, we have:

A = 2πr(500 / (πr^2)) + πr^2

A = (1000/r) + πr^2

To minimize the surface area, we need to find the value of r that minimizes A. We can do this by finding the critical points of A, which occur when the derivative of A with respect to r is equal to zero.

Differentiating A with respect to r, we have:

dA/dr = -1000/r^2 + 2πr

Setting this derivative equal to zero and solving for r, we get:

-1000/r^2 + 2πr = 0

-1000 + 2πr^3 = 0

2πr^3 = 1000

r^3 = 500/π

r = (500/π)^(1/3)

Substituting this value of r back into the equation for h, we get:

h = 500 / (π((500/π)^(1/3))^2)

h = 500 / ((500/π)^(2/3))

Therefore, the height and radius that minimize the amount of material needed to manufacture the can are given by:

h = 500 / ((500/π)^(2/3))

r = (500/π)^(1/3)

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Answer:

3

Step-by-step explanation:

h(2) we find by looking at what y equals when x is 2

when x is 2 y or h(2) is about 3

hopes this helps please mark brainliest

Answer:

t equals [9,12]

Answer:

-2.

Step-by-step explanation:

The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

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a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.

b) Nyoko cannot find a value of b so that the equation has no solutions.

The equation 1 is given as follows:

6x - 5 + 2x = 4(2x - 1) - 1.

Combining the like terms and applying the distributive property, the simplified equations are given as follows:

8x - 5 = 8x - 4 - 1

8x - 5 = 8x - 5.

As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.

The equation 2 is given as follows:

3x + 7 = bx + 7.

A system of linear equations will have zero solutions when:

As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.

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There were two candidate A and B contesting for the municipal corporation election in a town. The total number of voter in the town were 80,000. If 90% of the voter had voted and 60% of vote polled were cat in favour of A, 28,800 the number of vote received by B.

A state-incorporated city, town, village, or county that has the power to manage local governmental matters, such as creating a police force. A municipal corporation is established by a state's legislature, which also determines its lifespan, privileges, and powers. likewise known as a municipality.

A local governing body, such as cities, counties, towns, townships, charter townships, villages, and boroughs, is referred to legally as a "municipal corporation." Municipally-owned companies can also be referred to as this

Regulation of building construction and land usage. Town planning is included in urban planning. preparing for social and economic progress. water supply for residential, commercial, and industrial uses.

Given that,

Total number voters = 80,000

Total number of votes polled = 90%

Thus,

= (90/100) × 80,000

= 72,000

So, total percent of votes received by B if A gets 60% of polled votes.

= 100% - 60%

= 40%

Hence, total number of votes received by B

= (40/100) × 72,000

= 28,800

Therefore, the number of votes received by B, out of total votes polled is 28,800 votes.

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sin(2x) = 240/289, cos(2x) = 225/289, and tan(2x) = 64/77. Using the double-angle identities, we can find sin(2x), cos(2x), and tan(2x) in terms of sin(x) and cos(x)

sin(2x) = 2sin(x)cos(x)

cos(2x) = cos^2(x) - sin^2(x) = 1 - 2sin^2(x)

tan(2x) = (2tan(x)) / (1 - tan^2(x))

From the given information, we know that sin(x) = 8/17 and x is in Quadrant I. Using the Pythagorean identity, we can find cos(x):

cos(x) = sqrt(1 - sin^2(x)) = sqrt(1 - (8/17)^2) = 15/17

Therefore, we have sin(x) = 8/17 and cos(x) = 15/17. Substituting these values into the double-angle identities, we get:

sin(2x) = 2sin(x)cos(x) = 2(8/17)(15/17) = 240/289

cos(2x) = 1 - 2sin^2(x) = 1 - 2(8/17)^2 = 225/289

tan(2x) = (2tan(x)) / (1 - tan^2(x)) = (2(8/15)) / (1 - (8/15)^2) = 64/77

Therefore, we have sin(2x) = 240/289, cos(2x) = 225/289, and tan(2x) = 64/77.

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Answer:

The dependent variable is the amount of money he received for birthday.

Step-by-step explanation:

After his birthday, Benjamin has decided to donate a third of the money he received as a gift from his relatives to a foundation. Considering the variables amount of money received by Benjamin and amount of money that Benjamin will donate. to. What is the dependent variable in this situation.

Here, the money he received for the birthday is x.

So, he donated x/3.

The variable is the money which he gets, so the dependent variable is amount of money he received for the birthday.

Thus, we would expect Maggie to consume 0 scoops of ice cream.

To determine how many scoops of ice cream Maggie is expected to consume, we need to find the value of n that maximizes Maggie's total benefit function, TB(n) = 84n - n^2.

Since the price of ice cream is $27.5 per scoop,

we can equate Maggie's total benefit to the cost of the ice cream: 84n - n^2 = 27.5n.

Simplifying the equation, we have: n^2 - 56.5n = 0.

Factoring out an n, we get: n(n - 56.5) = 0.

Therefore, n = 0 or n = 56.5.

However, since n can only be an integer, Maggie cannot consume 56.5 scoops of ice cream.

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The partial fraction decomposition of (2x+1)(x-8) (7-8) is (15/17)/(x-8) + (7/34)/(x+1).

The partial fraction decomposition is writing a rational expression as the sum of two or more partial fractions. The following steps are helpful to understand the process to decompose a fraction into partial fractions:

Factorize the numerator and denominator and simplify the rational expression, before doing partial fraction decomposition.

Write the partial fraction decomposition as a sum of two or more fractions.

Determine the constants A and B by equating the numerators of the partial fractions with the original numerator.

Substitute the values of A and B in the partial fraction decomposition.

For example, let’s find the partial fraction decomposition of (2x+1)(x-8):

Factorize (2x+1)(x-8) to get 2(x-8) + 17(x+1).

Write (2x+1)(x-8) as 2(x-8) + 17(x+1).

Equate the numerators of the partial fractions with the original numerator: A(x-8) + B(x+1) = 2x+1.

Substitute x=8 to get A=-15/17 and x=-1/2 to get B=7/34.

Therefore, (2x+1)(x-8) can be written as:

(15/17)/(x-8) + (7/34)/(x+1)

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The statement ''f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm '' is TRUE.

Let us assume that a is an m x n matrix that doesn't span rm. It means that the columns of a matrix don't contain all the vectors in the m-dimensional vector space that a is associated with. Therefore, it is not possible to find the linear combination of the columns of a that produces some vectors in rm.

We can also say that a matrix is inconsistent when there is no solution possible for the given linear equation. A system of linear equations is inconsistent when it has no solution.To prove the statement f, we need to prove that if a matrix doesn't span rm, then the given equation ax = b is inconsistent for some b in rm.

Here is a proof:

Let's assume that the columns of the matrix a don't span rm. It means that some vector in rm is not in the column space of a matrix.

Let's assume that vector is v.

Now, let's consider the linear equation ax = v. Since v is not in the column space of matrix a, there is no solution to this equation. It means that the equation ax = v is inconsistent.

Hence, we can say that the statement f. if a is an m n matrix whose columns do not span rm, then the equation ax d b is inconsistent for some b in rm is true

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To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.

(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).

The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.

This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.

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Check out the diagram below.

Since D and E are midpoints of AB and AC this means midsegment DE is parallel to side BC. Furthermore, it means DE is parallel to PQ because PQ is entirely on BC.

---------

Note how I drew a line from A to O. This forms two triangles ABO and ACO

For triangle ABO, segment DP is a midsegment because D and P are midpoints of AB and OB respectively. This means side DP is parallel to side AO. Keep this in mind as we'll use it later.

For triangle ACO, segment EQ is parallel to AO because EQ is a midsegment for similar reasons as already mentioned (E and Q are midpoints of AC and OC respectively). So this must mean that AO is parallel to EQ

Now chain the arguments together: if DP || AO and AO || EQ, then DP || EQ by the transitive property.

-----------

In short, we've proven two things

This is enough to conclude that DEQP is a parallelogram. By definition, a parallelogram has two pairs of opposite parallel sides.

Answer:

Points

Step-by-step explanation:

Answer:

option. A

Step-by-step explanation:

1 = y dollars   -  4=  8y  

Thursday

1= y dollars

4y

4y+8y+45

that is simplified

A. 12y+45

The equation in standard form where all coefficients are expressed relatively is -x + 0y = 12.

If the slope of a line is undefined, it means the line is vertical. A vertical line does not have a defined slope, but its equation can still be expressed in standard form.

The equation for a vertical line passing through the point (-12, 12) can be written as:

x = -12

In standard form, the equation is typically written as:

x + 0y = -12

However, to express all coefficients relatively, we can multiply the equation by any non-zero constant to make the coefficient of x equal to 1. In this case, we can multiply the equation by -1 to achieve that:

-x + 0y = 12

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The measurements in order of size, starting with the smallest are: 2.3 mm, 24 mm, 2.3 cm, 21 cm, and  0.2 m.

Given the measurements in the question;

2.3 cm, 24 mm, 0.2 m, 21 cm, 2.3 mm​

To arrange the measurements in order of size, we need to convert them to a common unit of measurement.

We can convert all the measurements to meters, as it is the largest unit given.

Hence;

2.3 mm = 2.3 ÷ 1000 =  0.0023 m

24 mm = 24 ÷ 1000 = 0.024 m

21 cm = 21 ÷ 100 = 0.21 m

2.3 cm = 2.3 ÷ 100 =  0.023 m

0.2 m = 0.2 m

Now that all the measurements are in meters, we can compare them:

0.0023 m < 0.024 m < 0.023 m < 0.21 m < 0.2 m

Therefore, the measurements in order of size, starting with the smallest, are:

2.3 mm < 24 mm < 2.3 cm < 21 cm < 0.2 m

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Answer:

vfssfdgddedt

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The absolute value is just the number in the line things but positive.

The absolute value is the distance between a number and zero. The distance between − 0.4 and 0 is 0.4

if |-0.4| is all that is in the question it is 0.4

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Report on Commonalities Among Three Chosen Regions

For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:

Economic Development:

All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.

Technological Advancement:

Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.

Cultural Diversity:

North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.

Democratic Governance:

A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.

Education and Research Excellence:

North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.

In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.

Answer:

For this assignment, three regions of the world have been selected to identify commonalities among them. The chosen regions are North America, Europe, and East Asia. Through internet research, several commonalities have been identified that are shared among these regions. Below are five commonalities found:

Economic Development:

All three regions, North America, Europe, and East Asia, are characterized by significant economic development. They are home to some of the world's largest economies, such as the United States, Germany, China, and Japan. These regions exhibit high levels of industrialization, technological advancement, and trade activities. Their economies contribute significantly to global GDP and are major players in international commerce.

Technological Advancement:

Another commonality among these regions is their emphasis on technological advancement. They are known for their innovation, research and development, and technological infrastructure. Companies and industries in these regions are at the forefront of technological advancements in fields such as information technology, automotive manufacturing, aerospace, pharmaceuticals, and more.

Cultural Diversity:

North America, Europe, and East Asia are culturally diverse regions, with a rich tapestry of different ethnicities, languages, and traditions. Immigration and historical influences have contributed to the diversity seen in these regions. Each region has a unique blend of cultural practices, cuisines, art, music, and literature. This diversity creates vibrant multicultural societies and fosters an environment of cultural exchange and appreciation.

Democratic Governance:

A commonality shared among these regions is the prevalence of democratic governance systems. Many countries within these regions have democratic political systems, where citizens have the right to participate in the political process, elect representatives, and enjoy individual freedoms and rights. The principles of democracy, rule of law, and respect for human rights are important pillars in these regions.

Education and Research Excellence:

North America, Europe, and East Asia are known for their strong education systems and institutions of higher learning. These regions are home to prestigious universities, research centers, and educational initiatives that promote academic excellence. They attract students and scholars from around the world, offering a wide range of educational opportunities and contributing to advancements in various fields of study.

In conclusion, the regions of North America, Europe, and East Asia share several commonalities. These include economic development, technological advancement, cultural diversity, democratic governance, and education and research excellence. Despite their geographical and historical differences, these regions exhibit similar traits that contribute to their global significance and influence.