A series of isosceles triangles are drawn between two red line segments.
a
= 22°.

The area in which tulips are planted is 4247.625 square meters.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

To calculate the area of the triangle described as;

= 1/2 x length of the base segment x height of the triangle.

Given:

All the grass patches have equal areas.

From the diagram;

the shape of patch 2 is rectangular.

And the dimensions of the rectangle are 120.5 meters by 70.5 meters.

Two triangles of equal areas are formed by the division of patch 2 diagonally.

The area in which tulips are planted is,

= 1/2 x base x height

= 1/2 x 120.5 x 70.5

= 8495.25/2

= 4247.625 square meters.

Therefore, the area is 4247.625 square meters.

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Answer:

25.62 grams of cocoa

Step-by-step explanation:

To find the number of grams of cocoa in Keith's chocolate bar, we need to multiply the weight of the chocolate bar in grams by the percentage of cocoa in decimal form.

First, we convert the percentage to a decimal by dividing it by 100:

42% = 42/100 = 0.42

Next, we multiply the weight of the chocolate bar by the percentage of cocoa:

0.42 x 61 = 25.62

Therefore, the chocolate bar contains 25.62 grams of cocoa, rounded to the nearest tenth.

Answer:

25.62

Step-by-step explanation:

42 / 100 × 61

= 0.42 × 61

= 25.62

The length of FN is given as follows:

5.83 units.

Suppose that we have two points with coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

The shortest distance between them is given by the equation presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For a segment length, we obtain the distance between the two endpoints of the segment.

Hence the length of FN is obtained as follows:

FN = sqrt((1 - (-2))² + (2 - (-3))²)

FN = sqrt(34)

FN = 5.83 units.

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Answer:

This pair of equations is solvable by substitution, as I can easily substitute for y because it is already isolated in both equations. After substituting for y, I will solve the equations to get the value of x and then substitute that x-value into the simpler of the two equations, y = x - 1. Once I have both the x-value and y-value, they will be put into a point (x,y).

y = 3x + 3

y = x - 1

x - 1 = 3x + 3

    x = 3x + 4

  -2x = 4

    x = -2

     y = x - 1

     y = ( -2 ) - 1

     y = -3

The final answer to the pair of inequalities is ( -2,-3 )

Step-by-step explanation:

y = 3x + 3

y = x - 1

"substitution" means we are defining one variable by an expression of the other variable and use this identity in one of the original equations.

in our case here the main work was already done (even twice) : y is defined as expressions in x.

we even have the luxury to pick which one and then to use it in the other.

it does not matter which one you pick, it will lead to the same result.

so, let's use the identity of equation 1 in equation 2 : we replace every occurrence of y by the defined identity

y = x - 1

turns into

3x + 3 = x - 1

now we subtract x from both sides

3x + 3 - x = x - 1 - x

2x + 3 = -1

now we subtract 3 from both sides

2x + 3 - 3 = -1 - 3

2x = -4

and finally we divide both sides by 2

2x/2 = -4/2

x = -2

this result we use now in one of the original equations to get y :

e.g.

y = x - 1

y = -2 - 1 = -3

so, the solution is (-2, -3)

There are 50 sections on sidewalk of length 40 meter with each section of length 0.8 meter..

Firstly converting the units. We will do it in such a way that we get the length of each section of sidewalk in meters. So, as the 1 decimeter is 0.1 meter. Thus, 8 decimeter will be 0.8 meter.

Now, the formula to be used for calculation of number of sections = total length of sidewalk ÷ length of each section

Keep the values

Number of sections = 40/0.8

Performing division on Right Hand Side of the equation

Number of sections = 50

Thus, there are 50 sections.

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The demand curve under monopoly is less elastic than under monopolistic competition because there are no close substitutes under monopoly.

Monopoly:

A monopoly is a business characterized by no competition in the market and no substitute for a product. A monopoly can dictate price fluctuations and create barriers for competitors to enter the market.

A company controls the entire supply chain from production to sales through vertical integration, or becomes a monopoly by acquiring competitors in the market through horizontal integration to become a monopolistic producer.

Monopolistic Competition:

Monopolistic competition exists when many companies offer competing products or services that are similar but not perfect substitutes.

Barriers to entry into monopolistic competition industries are low, and decisions by one company do not directly affect competitors. Competitive companies vary in their pricing and marketing decisions.

The demand curve for monopolistic firm less elastic because the demand curve under monopoly is less elastic than under monopolistic competition because there are no close substitutes under monopoly. The demand curve under monopolistic competition is similar to the monopoly curve. However, the key difference between monopoly and monopolistic competition is that it is monopolistic competition. The demand curve is more elastic. This means that the quantity demanded changes more as the price changes. This is because in monopolistically competitive markets there are substitutes that are close to goods, and in monopolistic markets there are no close substitutes.

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Answer:

Step-by-step explanation:

The meaning of the y-intercept of the given graph is the starting battery percentage of the tablet. In this case, the y-intercept is 30, which means that the tablet starts with 30 percent of battery remaining. As the x-axis represents time in hours, at the beginning, the tablet has not been in use yet, and it has a full charge of 30 percent. From the given graph, we can see that after 3 hours, the tablet's battery percentage drops to 0. Therefore, it can be concluded that the battery of the tablet does not last for more than 3 hours, and it has to be recharged after this time period.

So, the correct option that describes the meaning of the y-intercept in the context of the problem is "The tablet starts with 30 percent of battery remaining."

The mean price of the 11 cards, given the cost of the packets of cards would be $ 1. 06

To find the mean price of all 11 cards, first find the mean price of each card in the two packets.

Mean price in packet 1 :

= 11 / 9

= $ 1. 22

Mean price in packet 2:

= 2. 75 / 2

= $ 1. 375

The mean price of all 11 cards is:

= ( ( 1. 375 x 2 ) + ( 1. 22 x 9 ) ) / 11

= $ 1. 06

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210 lbs is approximately equal to 95.2544 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

210 lbs = 210 × 0.453592

Multiply the numbers

= 95.2544 kg ( rounded to four decimal places )

Therefore, 210 lbs is 95.2544 kg

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Answer:

3.14159265358979

Step-by-step explanation:

The value of kilogram in miles can simply be calculated by dividing the kilometer by 1.609 so 10 kilometers into 6.21371 miles.

In 10k, the "k" stands for kilometres. In terms of miles, 10 kilometres translates to about 6.2 miles, or a half marathon, using the kph to mph conversion. To put that distance into perspective, a 5k is equal to 3.1 miles, or half of it.

So, how does a 10k race go? One of the most well-liked long-distance running competitions is it. Both experienced and novice runners will enjoy the considerable challenge it offers.

A mile on a track consists of four laps, hence a 10k run requires 25 laps. If a 10k event seems a little intimidating, keep in mind that a marathon is 26.2 miles long. By comparison, a 10k seems easy, doesn't it?

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Amanda's answer correct is not correct. The correct answer is 4 R2, because she might have incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead

Amanda's answer, 3 R10, is not correct.

When we divide 34 by 8, we want to know how many times 8 goes into 34, and what is left over. We start by dividing 8 into the first digit of 34, which is 3. 8 cannot go into 3, so we move on to the next digit, which is 34.

We can see that 8 goes into 34 four times, because 8 x 4 = 32. This means that the whole number part of the answer is 4.

But there is still a remainder left over. To find the remainder, we subtract 32 from 34, which gives us 2.

Therefore, the correct answer is 4 R2.

Amanda's mistake may have been to incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead.

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The expression "3x" with one term is called a monomial. In algebra, a term is a unit of an expression that can be separated by addition or subtraction.

A monomial is a type of polynomial expression that has only one term consisting of a coefficient and a variable or variables raised to a non-negative integer power. The expression "3x" is an example of a monomial, where "3" is the coefficient and "x" is the variable raised to the first power. Monomials can be multiplied together or combined using the rules of exponents, making them important in algebraic simplification and manipulation. Understanding the different types of expressions and terms is fundamental in mastering algebraic equations and solving problems.

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The equation in vertex form to represent the translation is

f(x) = (x - 2)^2

The parent equation is as follows f(x) = x^2

The translation of 2 units to the right is achieved by subtracting 2 from the equation the squaring all the values. This is written as

f(x) = (x - 2)^2

The vertex form of quadratic equation is of the form

y = a(x - h) + k

comparing with the equation shows that

a = 1

h = 2

k = 0

and hence the equation is already in vertex form

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The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.

E° is the complement of event E. It is the set of all outcomes that are not in event E and can be expressed as E° = {14, 15, 16, 17}.The probability of event E° is calculated by summing the probabilities of all outcomes in the event, P(E°) = P(14) + P(15) + P(16) + P(17). Since all outcomes in the sample space are equally likely, the probability of each outcome is 1/12. This means that the probability of event E° is calculated as follows:

P(E°) = 1/12 + 1/12 + 1/12 + 1/12 = 4/12 = 1/3.

Therefore, The complement of event E, E°, is {14, 15, 16, 17}. The probability of event E° is 1/3, as all outcomes in the sample space are equally likely, with a probability of 1/12.

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Step-by-step explanation:

Traffic sign painting cost

The cost of painting a circular traffic sign is $2,50 per sq foot. How much will it cost to paint the sign if its diameter is 36 in.

We can start by finding the area of the circular traffic sign, using the formula for the area of a circle:

A = πr^2

where A is the area of the circle, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle. We are given the diameter of the circle, which is 36 inches. The radius is half of the diameter, so we have:

r = 36/2 = 18 inches

We need to convert the radius from inches to feet, since the cost of painting is given per square foot. There are 12 inches in a foot, so:

r = 18/12 = 1.5 feet

Now we can find the area of the circle:

A = πr^2 = π(1.5)^2 ≈ 7.07 square feet

Finally, we can calculate the cost of painting the sign:

cost = $2.50/sq ft x 7.07 sq ft ≈ $17.68

Therefore, it will cost approximately $17.68 to paint the circular traffic sign

Answer: 15

Step-by-step explanation:

first you would subtract -69 by positive 420 to get 15

Answer:

i am sorry i am no se

peack englis

The value of volume of 8oz in ml is 236.588 ml

It is important to note that fluid ounces and milliliters are both units of volume, Converting 8oz to milliliters (ml) requires the use of a conversion factor, as these units measure different quantities.

One fluid ounce (oz) is equivalent to approximately 29.5735 milliliters. To convert 8oz to ml, we multiply 8 by this conversion factor:

8 oz * 29.5735 ml/oz = 236.588 ml

Therefore, 8oz is equivalent to approximately 236.588 milliliters.

In different systems of measurement, with fluid ounces being more commonly used in the United States and milliliters being the standard unit of volume in the metric system used in many other countries.

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Or you could pick any integer larger than this.

=====================================================

Work Shown:

23% = 0.23 in decimal form

x = some positive number

1/x < 0.23

1 < 0.23x .... see note below

0.23x > 1

x > 1/0.23

x > 4.347826 approximately

If x is an integer, then the smallest it can get is x = 5

Check:

Note: The inequality sign does not flip in the 2nd step shown above because x is positive. The sign only flips if we multiplied both sides by a negative value.

Answer:60

Step-by-step explanation:

8x+2x=10x

10*6=60

Answer:

60

Step-by-step explanation:

If x=6, and the equation is 8x + 2x =?, we can simply insert 6 into the equation:

Solving the parenthesis:

Therefore, the answer is 60.

On converting the length , we get the that 150 meter is equivalent to 492.12 feet .

In order to convert the length of 150 meters to feet,

We use the conversion factor of 3.2808 feet per meter because we know that 1 meter is = 3.2808 feet ;

So , to convert "meter" to "feet" we simply multiply the number of meters by this conversion factor to get the equivalent distance in feet.

By using this method, we get:

⇒ 150 meters × 3.2808 feet/meter = 492.12 feet ;

Therefore, 150 meters is equivalent to 492.12 feet.

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The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

A 95% confidence interval for population mean () is an interval on which a person can be 95% confident that the true population mean lies in it.

i.e. The probability that it contains the true population mean is 95%.

i.e. P( Sample mean- margin of error <  < Sample mean + margin of error) = 0.95.

Hence , The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

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Answer: The formula to calculate simple interest is:

I = P * r * t

where:

- I is the interest earned

- P is the principal amount (the initial investment)

- r is the annual interest rate (as a decimal)

- t is the time in years

- To calculate the total amount in the account after the interest is earned, you need to add the interest earned to the principal amount.

So for Mrs. Baxter's investment, the calculation would be:

P = 2000 (the principal)

r = 0.05 (the annual interest rate as a decimal)

t = 8 (the time in years)

I = P * r * t = 2000 * 0.05 * 8 = 800

The interest earned over the 8-year period is $800.

The total amount in the account after 8 years would be the principal plus the interest earned:

A = P + I = 2000 + 800 = 2800

So Mrs. Baxter's investment would be worth $2,800 after 8 years.

Step-by-step explanation:

The amount after 8 years with the rate of interest as 5% simple interest is $2800.

What is meant by simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Unlike compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant. Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time.

Given,

The principal amount P = $2000

The rate of interest r = 5% = 5/100 = 0.05

The time period t = 8 years.

We have to find the amount after 8 years using simple interest formula.

Amount A = P(1+rt) = 2000(1+0.05 * 8)

                              = 2000 * 1.4 = $2800.

Therefore the amount after 8 years with the rate of interest as 5% simple interest is $2800.

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Answer:

u < 11

Step-by-step explanation:

u + 7 < 18

u < 11

To solve the inequality:

u + 7 < 18

We need to isolate the variable u on one side of the inequality symbol.

Subtracting 7 from both sides, we get:

u < 18 - 7

Simplifying the right-hand side, we get:

u < 11

Therefore, the solution to the inequality is:

u < 11

In interval notation, the solution is:

(-∞, 11)

We can convert the unit kg/m ³ to  g/cm³ by using the formula Kg/m³ = 10⁻³ g/cm³.

We are provided with the unit kg/m ³ that means Kilograms per meter cube.

We have to covert it into g/cm³.

Now, we know, from the standard conversion rates that one kilograms is equal to 1000 grams and one meter cube is roughly equal to 10⁶ centimeter cubes.

So, if we want to do the unit conversion, we should write,

= g/cm³

= 1000/1000000 g/cm³

Kg/m³ = 10⁻³ g/cm³.

Now, the above mentioned relation is our formula for the conversion of the two unit.

So, now we can write that, one kilograms per meter cube is equal to 10⁻³ grams per centimeter cubes.

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Answer: 62

Step-by-step explanation:

The result of multiplying the numbers 31 by 2 is 62.

When you multiply two numbers, you are essentially adding the first number to itself a certain number of times, determined by the second number.

In this case, when you multiply 31 by 2, you are adding 31 to itself two times:

31 + 31 = 62

Therefore, the result of multiplying 31 by 2 is 62.

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90, They are measuring the same, therefore m4 = 90. Four right angles are produced when two lines overlap to form single right position.

Two full lines or rays intersect at a same terminus to make an angle. The centroid of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

Right angles are created when two straight lines cross at a 90° angle or are identical to one another at the intersection. The sign stands for a right angle.

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There are 28 dozens of eggs.

The number of dozens of eggs is obtained applying the proportions in the context of the problem.

Each dozen is composed by 12 eggs, hence the number of dozens in n eggs is obtained dividing n by 12.

Then the number of dozens in 336 eggs is obtained as follows:

336/12 = 28 dozens of eggs.

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George's average score is given as follows:

70.7%.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The seven observations for this problem are given as follows:

76, 58, 90, 44, 81, 73, 73.

The sum of these seven observations is of:

76 + 58 + 90 + 44 + 81 + 73 + 73 = 495.

Hence the mean, representing the average score, is obtained as follows:

495/7 = 70.7%.

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So, in response to the above question, we can state that They gathered a total equation of s + 2s = 3s shells.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical. For examples, in the equation 3x + 5 = 14, because equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The emblem and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

In the case where Anna gathered s shells and her brother gathered twice as many, the brother gathered 2s shells.

They gathered a total of s + 2s = 3s shells.

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