Answer:
The main aim of public participation is to encourage the public to have meaningful input into the decision-making process. Public participation thus provides the opportunity for communication between agencies making decisions and the public. Public participation can be time-consuming and sometimes expensive.
Step-by-step explanation:
this to two (2) Change Significant figure. 40.505734
Answer:
Step-by-step explanation:
To change the number 40.505734 to two significant figures, we need to round it to the nearest value with two significant figures.
Looking at the third digit after the decimal point (5), we see that it is greater than or equal to 5. Therefore, we need to round up the second digit after the decimal point (0) by adding 1 to it.
Thus, the number 40.505734 rounded to two significant figures is 41.
Explain the meaning of the slope of the line in this situation
In the context of a line, the slope represents the measure of its steepness or inclination.
It provides valuable information about the relationship between the vertical change (rise) and the horizontal change (run) between any two points on the line. The slope can be interpreted as the ratio of the vertical change to the horizontal change. For example, a positive slope indicates that as the horizontal distance increases (run), the vertical distance also increases (rise), resulting in an upward-sloping line. Similarly, a negative slope indicates that as the horizontal distance increases, the vertical distance decreases, creating a downward-sloping line. Moreover, the magnitude of the slope reflects the steepness of the line. A larger absolute value of the slope implies a steeper line, while a slope close to zero suggests a nearly horizontal line.
Therefore, the slope of a line provides crucial insights into its direction, steepness, and the relationship between its coordinates.
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who worked out the first 31,415,926,535,897 digits of pi
The person who worked out the first 31,415,926,535,897 digits of pi is not known.
However, there are several people who have contributed to its calculation over time. Some of the notable names include:
a. William Shanks (1812-1882), an English mathematician, was the first to calculate 707 digits of pi, but later calculations revealed that he made a mistake in the 528th digit. William Shanks (1812-1882) was an English mathematician who is known for his work on the calculation of pi. In 1853, he published a book titled "Contributions to Mathematics, Comprising Chiefly the Rectification of the Circle to 607 Places of Decimals," in which he claimed to have calculated pi to 707 decimal places.
However, in 1945, it was discovered that there was an error in Shanks' calculation, and only the first 527 decimal places were correct. Despite this mistake, Shanks' work on the calculation of pi was still significant for its time, and he made important contributions to other areas of mathematics as well.
b. Richard Brent, an Australian mathematician, calculated the first 1,000,000 digits of pi in 1989 using a supercomputer. The current world record for calculating the most digits of pi is held by Timothy Mullican, who calculated over 31 trillion digits in 2019 using a cloud-based virtual machine.
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question 9 of 10 explain how you can determine the sign of the sum of two integers if one integer is positive and the other integer is negative.
To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.
If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.
On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.
In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.
By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.
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The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true.
for every 13 dogs, there are 25 cats. is the answer.
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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Every week, Judy goes to the supermarket and buys the following: $5$ carrots at $\$1$ each, $3$ bottles of milk at $\$3$ each, $2$ pineapples at $\$4$ each, $2$ bags of flour at $\$5$ each, and a giant $\$7$ container of ice cream. This week the store has a sale and pineapples are half price. Judy also has a coupon for $\$5$ off any order of $\$25$ or over. How much money does Judy spend on this shopping trip
Answer:
She spends $30 in total.
Step-by-step explanation:
Suppose that you buy X units of a given product with a price Y, then the total cost here is X*Y, with this we can solve our problem:
Every week Judy buys:
5 carrots, at $1 each, so she spends 5*$1 = $5 in carrots.
3 bottles of milk at $3, so she spends 3*$3 = $9 in milk bottles.
2 pineapples at $4 each (but the pineapples are at half price, so this week the pineapples cost $4/2 = $2), so she spends 2*$2 = $4 in pineapples.
2 bags of flour at $5 each, so she spends 2*$5 = $10 in flour.
1 giant container of ice cream, she spends $7 on it.
So the total money that she speends is:
$5 + $9 + $4 + $10 + $7 = $35
And she has a coupon for $5 in any order equal to or larger than $25, his order is larger than $25, so she can use the coupon.
So she will spend a total of $35 - $5 = $30
She spends $30 in total.
A supermarket gives a special
offer to cus-
tomers who purchase at least a pack of
vests and a pack of T-shirts. The offer is
restricted to a total of 7 of these items.
a) Write down three inequalities which
must be satisfied.
(b) Draw the graphs of the above condi-
tions and shade the region that satis-
fies them.
(c) If the supermarket makes a gain of N5
on each vest and N8 on each T-shirt,
find the maximum gain made by the
supermarket.
A) the three inequalities that must be satisfied are:
The number of vests, represented by x, must be a non-negative integer: x ≥ 0.The number of T-shirts, represented by y, must also be a non-negative integer: y ≥ 0.The total number of vests and T-shirts must not exceed 7: x + y ≤ 7.B) Graph shaded and satisfying all conditions is attached.
What is an inequality?An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.
It is most commonly used to compare the sizes of two numbers on a number line.
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alice prefers $450 for sure to the gamble ( $1000 w.p. 0.5 $0 w.p. 0.5 ) and complies with the inde- pendence axiom. then she must prefer the gamble ( $450 w.p. 0.5 $0 w.p. 0.5 ) rather than (a) ( $1000 w.p. 25% 0 w.p. 75% ) ; (b) $225; (c) $200; (d) all of the above.
The answer is (d) all of the above. Alice must prefer the gamble ($450 w.p. 0.5 $0 w.p. 0.5) to (a), (b) and (c) since it offers her a higher expected value and complies with the independence axiom.
Alice prefers $450 for sure to the gamble ($1000 w.p. 0.5 $0 w.p. 0.5). The expected value of the gamble is $500, while the expected value of $450 is clearly lower. This complies with the independence axiom, as she is preferring a certain $450 to an uncertain $500.
Therefore, Alice must prefer the gamble ($450 w.p. 0.5 $0 w.p. 0.5) to (a) ($1000 w.p. 25% 0 w.p. 75%), (b) $225, and (c) $200, since it offers her a higher expected value and complies with the independence axiom. Thus, the answer is (d) all of the above.
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In your notebook, set up the following addition using a vertical format and find the sum of the given polynomials. 3x2 2x - 5 and -4 7x2 10 x2 2 x - 9 - x2 9 x - 9 21 x2 2 x 20 10 x2 - 5 x - 1.
To add the polynomial equation, add or subtract the terms with same power of variable.
Thus addition of the given polynomial using a vertical format is,
\(10x^2+2x-9\)
Thus the option 1 is the correct option.
What is polynomial equation?A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Here, n is any real number.
To add the polynomial equation, add or subtract the terms with same power of variable.
Given information-
The first polynomial equation in the problem is,
\(3x^2 +2x - 5\)
The second polynomial equation in the problem is,
\(-4 +7x^2\)
Rearrange the above equation as,
\(7x^2-4\)
To add in vertical format write down both the polynomial one below another.
The value of variable with same power should be write down the with same power of variable as,
\(3x^2 +2x - 5\\7x^2 \;\;\;\;\;\;\;\;\;-4\)
____________
\(10x^2+2x-9\)
_____________
Thus, addition of the given polynomial using a vertical format is,
\(10x^2+2x-9\)
Thus the option 1 is the correct option.
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Answer:To add the polynomial equation, add or subtract the terms with same power of variable.
Thus addition of the given polynomial using a vertical format is,
Thus the option 1 is the correct option.
What is polynomial equation?
A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.
Here, n is any real number.
To add the polynomial equation, add or subtract the terms with same power of variable.
Given information-
The first polynomial equation in the problem is,
The second polynomial equation in the problem is,
Rearrange the above equation as,
To add in vertical format write down both the polynomial one below another.
The value of variable with same power should be write down the with same power of variable as,
____________
_____________
Thus, addition of the given polynomial using a vertical format is,
Thus the option 1 is the correct option.
Step-by-step explanation:
100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0
Answer:
10/3
Step-by-step explanation:
remember about right order
consider a symmetric matrix a. if the vector v is in the image of a and w is in the kernel of a, is v necessarily orthogonal to w?
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.
Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.
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A cartographer at point C sites a prominent rock feature, at point R, East from his location. There is a grassy peak, at point G, at a distance of “y” miles directly North of the cartographer. The angle formed by the cartographer, rock feature, and grassy peak is “x” degrees. See the diagram below. Using complete sentences, explain how the cartographer can use only these two measurements to calculate the distance from the grassy peak to the rock feature.
True: A Chorochromatic map is a type of cartographic map that represents features depending on how they are distributed across the surface in terms of quality.`
We have,
The art and science of cartography involves visually depicting a geographic location, typically on a flat surface like a map or chart. It could include superimposing a region's depiction with non-geographical distinctions like political, cultural, or other ones.
Making and utilizing maps is the theory and application of cartography. Cartography, which combines science, aesthetics, and method, is based on the idea that reality may be described in ways that effectively convey spatial information. The same basic components are included on most maps: the main body, the legend, the title, the scale and orientation indications, the inset map, and the source notes.
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complete question:
a cartographic map style that symbolizes features based on the qualitative surface distribution of a mapped feature is called a chorochromatic map.
• The notebook shows the money Leo earned and spent on his first day selling strawberries at
the Farmers Market. A positive number represents money earned. A negative number
represents money spent. Leo wants to find his profit for the first day,
What is Leo's profit for the first day?
dollars
Farmers Market Activity
10
We need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.
To determine Leo's profit for the first day, we need more information than what is provided in the question. The notebook shows the money earned and spent, but the given information stops at "10," without specifying whether it represents money earned or money spent. Additionally, we don't have any other earnings or expenses mentioned in the question.
To calculate the profit, we need to know the total earnings and total expenses for the day. Without this information, we cannot accurately determine Leo's profit. If you can provide additional details or the complete notebook entries, I would be happy to assist you in calculating the profit.
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you send 40 text messages in one month. the total cost is $4.40. How much does each text message cost?
Answer: 0.11 cents a message
Step-by-step explanation:
Total of texts: 40
Total cost: $4.40
4.40/40
= 0.11
DUE IN 5 MINUTES HELP
Answer:
A, E and F
Step-by-step explanation:
2x + 3y = 6
Let's try A first
2(0) + 3(2) = 6
A is an answer
Let's try B now
2(0) + 3(6) = 18
B is not an answer
Let's try C now
2(2) + 3(3) = 13
C is not an answer
Let's try D now
2(3) + 3(-2) = 0
D is not an answer
Let's try E now
2(3) + 3(0) = 6
E is an answer
Let's try F now
2(6) + 3(-2) = 6
F is an answer
Just substitute x for whatever x value you are given in the coordinates and do the same for y
Answer:
A, E, and F
Step-by-step explanation:
Just plug it in
What is AB?
Please hurry answer
Answer:
The Answer is 47
Step-by-step explanation:
Because you do A squared plus B squared equals C squared and Squared is just multiplying both by two.
an athletic facility has 5 tennis courts. pairs of players arrive at the courts and use a court for an exponentially distributed time with mean 40 minutes. suppose a pair of players arrives and finds all courts busy and k other pairs waiting in queue. what is the expected waiting time to get a court?
The expected waiting time to get a court is 8(k + 1).
What is expected time?
The projected time is simply the time frame in which the Project is anticipated to be finished. When the parties to the project contract are signing it, they will either mutually agree upon this time or decide it together with the participation of all the stakeholders, contractors, and clients.
They need to wait for k+1 pairs to finish before they can start.
Since the exponential distribution is memoryless, the expected time for a given pair to finish once started is 40 minutes, and there are 5 courts,
the expected time for any of the 5 courts to finish is 40/5=8 minutes, and so their expected waiting time is 8(k+1) minutes.
Hence, the expected waiting time to get a court is 8(k + 1).
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select whether the following numbers are rational or irrational. please help me
1)13/4: Rational (a fraction)
2)√17: Irrational (square root of a non-perfect square)
3)3π: Irrational (product of a rational number and an irrational number)
4)0.1 (1 bar): Rational (repeating decimal)
5)-√2: Irrational (negative square root of a non-perfect square)
6)√24: Irrational (square root of a non-perfect square)
7) -√49: Rational (negative square root of a perfect square)
1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.
2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.
3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.
4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.
5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.
6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.
7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.
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The complete question is :
Select whether the following numbers are rational or irrational.
1. 13/4
2. \sqrt{17}
3. 3 π
4. 0.1 (1 bar)
5. - \sqrt{2}
6. \sqrt{24}
7. - \sqrt{49
The answer is 6 just did it
Answer:
6
Step-by-step explanation:
Answer: Ok
Step-by-step explanation:
without multiplying, determine the sign of the product (-247,634)(183,758
Answer:
it'd be a negative (-)
hope this helps :D
Step-by-step explanation:
this is the answer btw :)
−45,504,728,572
Answer:
B (The sign of the product is negative because a negative multiplied by a positive is a negative.)
Step-by-step explanation: i got 100% on my test
A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
16 cm
Type the answer in the box.
square centimeters
17 cm
16 cm
...15 sm
15 cm.
Check the picture below.
so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.
\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)
A fish was skimming 3.5 feet below the waters surface at 7:00 am. Four hours later, the fish was at the depth that is 5 1/4 feet below where it was at 7:00 am. What rational number represents the position of the fish with respect to the waters surface at 7:00 am?
PLZ ANSWER FAST!
An apple is launched directly upward at 64 feet per second from an 80-foot tall platform. The equation for this apple’s height, h, at time t seconds after launch is h = -16t2 + 64t + 80.
a. Find the maximum height of the apple.
b. How many seconds will it take for the apple to reach the ground
Answer:
144 feet
5 seconds
Step-by-step explanation:
a.
we want the maximum (or the vertex)
-64/-32= 2
-16*2²+64*2+80=144
b.
Here we want the point in which the y=0
In other words, we want the x-intercept
-16x²+64x+80= -16(x-5)(x+1)
so we have
(5,0) and (-1,0)
reject the negative answer to get 5 seconds
A) the maximum height of the apple is 144 feet. B) it will take 1 second for the apple to reach the ground.
How to determine How many seconds will it take for the apple to reach the ground
a. To find the maximum height of the apple, we need to determine the vertex of the parabolic equation. The vertex represents the maximum point of the parabola.
The equation for the height of the apple is given as h = -16t^2 + 64t + 80.
To find the t-value at the vertex, we can use the formula t = -b / (2a), where a, b, and c are the coefficients in the equation.
In this case, a = -16 and b = 64. Substituting these values into the formula:
t = -64 / (2 * -16)
t = -64 / -32
t = 2
So, the apple reaches its maximum height at t = 2 seconds.
To find the maximum height (h), we substitute the value of t = 2 into the equation:
h = -16(2)^2 + 64(2) + 80
h = -64 + 128 + 80
h = 144
Therefore, the maximum height of the apple is 144 feet.
b. To find the time it takes for the apple to reach the ground, we set h = 0 in the equation and solve for t:
0 = -16t^2 + 64t + 80
We can factor this equation or use the quadratic formula. Let's use the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = -16, b = 64, and c = 80. Substituting these values:
t = (-64 ± √(64^2 - 4(-16)(80))) / (2(-16))
t = (-64 ± √(4096 + 5120)) / (-32)
t = (-64 ± √9216) / (-32)
t = (-64 ± 96) / (-32)
We have two possible solutions:
t1 = (-64 + 96) / (-32) = 1
t2 = (-64 - 96) / (-32) = 5
Since the apple was launched upward, we consider the positive solution t1 = 1.
Therefore, it will take 1 second for the apple to reach the ground.
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Sally hopes to purchase a 2-boat trailer for around $ 21,000. Describe all the numbers that when rounded to the nearest thousand are 21,000.
Answer:
20,500 or greater. 21499 or less.
Step-by-step explanation:
All the numbers that rounds to 21000 when rounded to nearest thousand are from 20501 to 21499.
What are rounded numbers ?We round numbers to make it easier to remember and rounding numbers to a certain place retains it's value to that place.
According to the given question Sally hopes to purchase a 2-boat trailer for around 21000 dollars.
We have to describe all the numbers which become 21000 when rounded to nearest thousand we have to observe the digit at thousands place here it is less than 5 so we'll subtract 1 to that digit and make all the digits after that zero which becomes 20000.
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Rewrite the radical expression as an expression with rational exponents.
cube root of x to the power of 8
Answer: \((\sqrt[3]{x} )^8\)
Step-by-step explanation:
Radical expression :
Cube root of any expression 'a' = \(\sqrt[3]{a}\)
Radical exponent:
'a' to the power n = \(a^n\)
Similarly cube root of x = \(\sqrt[3]{x}\)
cube root of x to the power of 8 = \((\sqrt[3]{x} )^8\)
Now , the required radical expression with rational exponents for "cube root of x to the power of 8" = \((\sqrt[3]{x} )^8\)
Hence, the required expression =\((\sqrt[3]{x} )^8\)
Draw "before" and "after" pictures c. Define your symbols relevant to the problem d. Include the "knowns" and "unknowns" in your diagrams 1. A \( 50 \mathrm{~kg} \) arc
Before and After pictures of a 50 kg arc would look something like this: Before picture (50 kg arc is at rest) and After picture (50 kg arc is moving) - the picture has been attached below:
To define the symbols relevant to the problem: - Arc - it's an object that rotates around a fixed point or axis. - \(m\) - mass - \(r\) - radius - \(v\) - velocity - \(\theta\) - angular displacement, and - \(I\) - moment of inertia
To include the knowns and unknowns in your diagrams:- Knowns: Mass of the arc = 50 kg- Unknowns: velocity of the arc after it has movedThus, in this case, the unknown is the velocity of the arc after it has moved, which can be solved by using the formula \(v=\sqrt{2*g*h}\), where \(g\) is the acceleration due to gravity and \(h\) is the height from which the arc has been dropped.
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what is the horonzontial distance between the two points(3,4) and (8,4)
Answer:
Distance = 5.099
Step-by-step explanation:
Work out m and c for the line:
Y = 2x – 1
m =
C =
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The values are :
\( m = 2\)\(c = - 1\)\( \large \boxed{ \mathfrak{Explanation}}\)
The equation of the given line is :
\(y = 2x - 1\)aand general equation of a line is :
\(y = mx + c\)where,
m = slope of the line c = y - intercept of the linenow, by equating both the equations we get :
\(m = 2\)\(c = - 1\)A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area?
The Area of Trapezium is 50, 267 mm².
We have,
base 1 = 224 mm
base 2 = 77 mm
Height = 334 mm
Now, Area of Trapezium
= 1/2 (Sum of parallel side) x height
= 1/2 (224 + 77) x 334
= 1/2 x 301 x 334
= 50, 267 mm²
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