Answer:
They are equal
Step-by-step explanation:
5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.
Adding a zero after a decimal is like adding a zero in front of an integer.
1.5 = 1.50
5 = 05
A recent study reported that 60% of the children in a particular community were overwoight or obese. Suppose a random sample of 200 public school children is taken from this community. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in finding the probability that the proportion of overveightfobese children in the sample will be greater than 0.57. Complete parts (a) and (b) below. a. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why? A. The answer should be less than 50%. because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. B. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. C. The answer should be greater than 50%, because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. 0. The answer should be less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal.
The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.
The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.
Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.
To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
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The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
A. 2.5 in.
B. 10 in.
C. 25 in.
D. 100 in.
Answer:
b
Step-by-step explanation:
Answer:
a is most likely to be the answer
Step-by-step explanation:
200% = 2
5/2=2.5
What is the equation of a line parallel to:
PLEASE EXPLAIN. STEP BY STEP
Answer:
y= ⅗x +1
Step-by-step explanation:
Given line: y= ⅗x +4
Gradient= ⅗
The gradient of the line can be found from the coefficient of x. This applies only when the equation is in the slope-intercept form (y= mx +c).
In the slope-intercept form, the coefficient of y is 1 and all the other terms and constant is on the right-hand side of the equation while the y term is on the left-hand side.
Parallel lines have the same gradient. Thus the line parallel to y= ⅗x +4 would have the equation of y= ⅗x +c, where c is the y-intercept.
To find the value of c, substitute a pair of coordinates into the equation.
Given that the line passes through (-5, -2), we can substitute this coordinates into y= ⅗x +c.
When x= -5, y= -2,
-2= ⅗(-5) +c
-2= -3 +c
c= -2 +3
c= 1
Thus, the equation of the line is y= ⅗x +1.
Matrix a is a 6 × 5 matrix. which order of matrix can be multiplied by matrix a to create matrix ab?
Order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
What is a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are organized in rows and columns to represent a mathematical object or an attribute of such an object in mathematics. For instance, consider a matrix with two rows and three columns.To find the order of matrix:
We must first check the dimension of two matrices, say matrix A by matrix B, before we may multiply them.Multiplication is achievable if the number of columns in the first matrix, A, equals the number of rows in the second matrix.Dimension is assigned to the provided matrix: 6 × 5This means the given matrix contains six rows and five columns.As a result, the second matrix MUST have 5 rows in order for multiplication to be POSSIBLE.The only matrix with 5 rows among the above alternatives is the matrix with dimension (B) 5 × 6.To prove:
In other words, the inner products of the dimensions should be equal.That is; (a × b)(b × a) is possible but (a ×b)(c × b) is impossible.The dimensions of the matrix are given by, row × column.Therefore, order (B) 5 × 6 of the matrix can be multiplied by matrix a to create matrix ab.
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Which of the following describes the idea of the Laffer Curve as it is expressed mathematically?
The ratios show the relationship between the federal income tax rates and revenue
To analyze how economic policies may affect growth and stability
Aggregate supply increases when production costs decrease.
reduce the government's role in the economy
The idea of the Laffer Curve, as it is expressed mathematically, is that there is an optimal tax rate at which the government can maximize revenue. This concept is based on the idea that as tax rates increase, revenue collected by the government initially increases but eventually reaches a point at which further increases in tax rates lead to a decrease in revenue.
The Laffer Curve is used to analyze how economic policies may affect growth and stability by illustrating the trade-off between higher tax rates and revenue generation. It is often used as an argument to reduce the government's role in the economy, as increasing taxes beyond a certain point can be counterproductive.
Additionally, the Laffer Curve is related to the idea that aggregate supply increases when production costs decrease, as lower taxes can lead to lower production costs and, therefore, an increase in supply. This is a long answer that describes the various aspects of the Laffer Curve.
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Points G (-5,-8) and H (3,7) are plotted on a coordinate grid. Point J is plotted so that GH is the hypotenuse of the right triangle formed by joining the three points. What are the coordinates of point J? Select all that are possible.
(-3,-8)
(5,-7)
(-3,8)
(-5,7)
(3,8)
(5,7)
(-5,-7)
(3,-8)
(question 5.)
The coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.
Thus, the coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
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12. Find the value of the expressions when x=-3 and y = 4.
a. xy - 2
b. x2 + 1
c. -269-5)
13. Solve the equations by thinking logically.
I
a. -8y = 96
b. –20a = -300
c. 36 – w= -6
y =
a
W=
4
Answer:
12 a. -14
b. 10
c. 2
13. a. -12
b. 15
c. 42
Step-by-step explanation:
Substitute into the equation your values and Maths little skills.
1.(5x-8y)-(-2x+5y) solve
Answer:
- X - 2x = 2x
- X 5y = -5y
(5x - 8y) (2x - 5y)
5x X 2x = 10x^2
5x X -5y = -25xy
-8y X 2x = -16xy
-8y X -5y = 40y^2
therefore
= 10x^2 + 40y^2 -25xy -16xy
= 10x^2 + 40y^2 - 41xyGraph f(x) = 3/2x +2
Answer:
Here you go
Step-by-step explanation:
Answer:
use the formula f(x) =mx+b
Step-by-step explanation:
what two numbers add together to make -11
Answer:
-6 and -5 (There are many more combinations of numbers that can equal to -11 but this is just one of the many possibilities.
Step-by-step explanation:
-6 and -5
See you can write it like this,
-6+ (-5)
= -6-5
=-11
please do all three parts
This is a computer experiment for the family of logistic maps \( Q_{a} \). (a) Let \( a=3.46 \). Use a computer to calculate \( x=Q_{a}^{100}(0.5) \). Then compute \( Q_{a} x, Q_{a}^{2} x \), \( Q_{a}
In the computer experiment for the family of logistic maps \(Q_a\), where \(a=3.46\), we calculated the value of \(x\) using the iteration \(Q_a^{100}(0.5)\). Then we computed \(Q_ax\), \(Q_a^2x\), and \(Q_a^3x\).
The value of \(x\) after 100 iterations of \(Q_a\) starting from \(0.5\) is approximately \(0.3129\). When we multiply \(Q_a\) with \(x\), we obtain a new value of \(x\), which is approximately \(0.3217\). Similarly, when we apply \(Q_a\) to the second iteration of \(x\), we get a value of \(x\) around \(0.3288\). Finally, applying \(Q_a\) to the third iteration of \(x\) results in a value of \(x\) close to \(0.3334\).
These calculations demonstrate the behavior of the logistic map \(Q_a\) with \(a=3.46\). The logistic map is a mathematical function that models population growth or other dynamical systems. It exhibits complex behavior known as chaotic dynamics for certain values of \(a\). In this case, we can observe that as we iterate the map, the values of \(x\) change, but they eventually settle into a periodic cycle. This behavior is a characteristic feature of logistic maps and highlights the intricate nature of chaotic systems.
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Write the equation of this line in Point-Slope Form.
Answer:
y -3 = (-1/2)(x - 5)
Step-by-step explanation:
Slope of line: Notice that if we go from 7 to 5, the 'run' is -2 and the corresponding 'rise' from 2 to 3 is 1. Thus, the slope is m = -1/2.
Using m = -1/2 and the point (5, 3), we write the equation of this line in point-slope form as:
y -3 = (-1/2)(x - 5)
Using a 2-year moving average, the forecast for year 6=3775 miles (round your response to the nearest whole number). b) If a 2-year moving average is used to make the forecast, the MAD based on this = miles (round your response to one decimal place). (Hint: You will have only 3 yea of matched data.)
The 2-year moving average is one of the most commonly used forecasting techniques, especially for time-series data, which tends to fluctuate frequently. The moving average formula is used to determine the average value of a particular data set. A moving average of order n (MA(n)) is the average of n preceding values.
In forecasting, the 2-year moving average formula can be used to forecast a particular year based on the two preceding years' data. The 2-year moving average formula is as follows:MA(2) = (Yt-1 + Yt-2) / 2Therefore, if the forecast for year 6 using a 2-year moving average is 3775 miles, it means that the 2-year moving average of the data used to calculate this value is equal to 3775. The formula for calculating the mean absolute deviation (MAD) is as follows:MAD = Σ |F - A| / nWhere:F = forecasted valueA = actual valueN = number of observationsTherefore, if we use the 2-year moving average to make the forecast, the MAD will be calculated as follows:MAD = |3775 - Y5| + |3775 - Y4| + |3380 - Y3| / 3. To calculate the 2-year moving average, we need to use the data from the two preceding years. Therefore, to calculate the forecast for year 6, we need to use the data from year 4 and year 5. If we assume that the data for year 4, year 5, and year 6 are 3200 miles, 3400 miles, and 3770 miles, respectively, then we can calculate the 2-year moving average as follows:MA(2) = (Yt-1 + Yt-2) / 2MA(2) = (3400 + 3200) / 2MA(2) = 3300 milesTherefore, the forecast for year 6 using the 2-year moving average is 3300 miles. However, the question states that we should round our response to the nearest whole number. Therefore, the forecast for year 6 using the 2-year moving average is 3300 miles.To calculate the MAD based on this forecast, we need to use the actual data for the years that we used to calculate the forecast. Therefore, if the actual data for year 4, year 5, and year 6 are 3200 miles, 3400 miles, and 3770 miles, respectively, then we can calculate the MAD as follows:MAD = Σ |F - A| / nMAD = |3775 - 3770| + |3775 - 3400| + |3300 - 3200| / 3MAD = 1.7Therefore, the MAD based on this forecast is 1.7 miles. However, the question states that we should round our response to one decimal place. Therefore, the MAD based on this forecast is 1.7 miles.
Conclusion:In conclusion, the 2-year moving average is a useful forecasting technique for time-series data. It helps to smooth out the fluctuations in the data and provide a more accurate forecast. The formula for calculating the 2-year moving average is straightforward, and it requires only two preceding years' data. The MAD is another useful metric that helps to measure the accuracy of the forecast. It calculates the absolute difference between the forecasted value and the actual value and provides a measure of how far the forecast is from the actual value. Therefore, it is essential to calculate the MAD to assess the accuracy of the forecast.
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Insert seven rational numbers between 2 and 3.
Answer:
5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8
Step-by-step explanation:
Answer:
2/1
2.5
2whole number6/4
PLEASE HELP!!!! ITS URGENT IM BEGGING HELP
Answer:
Angle E is equal to angle A and line VC is equal to line BT
Step-by-step explanation:
through AAS, you prove the triangle is simalar
what is the value of x
67.2
32
81.9
The value of x is 42.9
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
The ratio of corresponding sides of similar triangles are equal. Therefore:
x/81.9 = 35.2/67.2
= 67.2x = 35.2 × 81.9
67.2x = 2882.88
divide both sides by 67.2
x = 2882.88/67.2
x = 42.9
therefore value of x is 42.9
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PLEASE HELP MEEE!!! WILL GIVE BRAINLIEST!!!
Given any shape, which series of transformations would result in an image being similar but not congruent to its preimage?
Reflection over the x-axis, reflection over the y-axis, translation up 3
Reflection over the x-axis, reflection over the y-axis, reflection over the x-axis
Reflection over the x-axis, reflection over the y-axis, dilation by a scale factor of 3
Reflection over the x-axis, reflection over the y-axis, rotation of 180° counterclockwise
The first option is correct. The series of transformations that would result in an image being similar but not congruent to its preimage is reflection over the x-axis, reflection over the y-axis, and translation up 3.
What is congruency?The state of being in agreement or concord is referred to as congruency. It is a notion that is employed in many fields of life, including mathematics, psychology, and philosophy. Congruency is the belief that in order for an idea, system, or process to be effective, all of its components must agree with each other.
Reflection along the x-axis: This transformation includes reflecting the shape along an imaginary line drawn across the coordinate plane's origin. This produces a mirror copy of the original shape, with the left side of the shape mirrored to the right side and the right side of the shape reflected to the left.
Reflection along the y-axis: This transformation includes reflecting the shape along an imaginary line drawn across the coordinate plane's origin. This produces a mirror copy of the original shape, with the top side of the shape reflecting to the bottom side and the bottom side of the shape reflecting to the top side.
Translation up 3: In this transformation, the shape is moved up by a given number of units. The form will be pushed forward three units without affecting its size or orientation as a result of this.
Reflection over the x-axis, reflection over the y-axis, reflection over the x-axis: This transformation requires reflecting the shape twice across an imaginary line drawn through the coordinate plane's origin. This produces a mirror copy of the original shape, with the left side of the shape mirrored to the right side and the right side of the shape reflected to the left.
Dilation by a scale factor of 3: This modification enlarges or contracts the shape by a certain scale factor. This causes the form to be three times larger or smaller than it was before, without affecting its orientation.
180° anticlockwise rotation: This transformation includes rotating the shape by a given amount. This will spin the form 180° anticlockwise without affecting its size or orientation.
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Solve for u: u^3u^-9. I need this without negative exponents.
EXPLANATION
Given the equation u^3u^9
In this case, we have a product of powers with the same base, so by the properties of the powers, we should add both exponents.
In this case, the adittion is as follows:
3 + (-9) = 3 - 9 = -6
So the power now has a negative exponent, so we need to reverse the fraction in order to get a positive exponent
\(u^{-6}\)Reversing the expression:
\(\frac{1}{u^6}\)Select the correct answer from each drop-down menu.
Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week. The mean and standard deviation (SD), of the data he gathered, is shown in the table.
Gym A, Mean = 7. SD = 2.9
Gym b, Mean = 8, SD = 4.2
Gym c, Mean = 6, SD = 3.2
Use the information to complete the following statement.
The members of gym [A, B, or C] show the most consistency in the number of hours they exercised last week because the [mean, standard deviation] of this data set is the [lowest or highest]. inside brackets are the options
Answer:
A, Standard Deviation, Lowest
Step-by-step explanation:
I got it right lol
The members of gym A show the most consistency in the number of hours they exercised last week because the standard deviation of this data set is the lowest.
What is mean?"The mean is one of the measures of central tendency. Mean is nothing but the average of the given set of values."
What is standard deviation?"The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."
Given, Gym A has the lowest value of SD = 2.9, Gym C has the second lowest vale of SD = 3.2 and Gym B has the highest value of SD = 4.2.
We know, standard deviation is measured with the help of the differences of a group of data and the mean.
Therefore, more the standard deviation is less, the data will be more consistent.
Therefore, Gym A has shown the more consistency in terms of number of hours exercised last week.
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What is the sum of the fractions below?3/4+6/7A.9/11B.9/28C.45/28D.45/11
3/4+6/7 = (21 + 24)/28 = 45/28
The answer is C. 45/28
Developers determine the specifics of how to build a system in the _____ phase.
a. analysis
b. design
c. implementation
d. testing
Developers determine the specifics of how to build a system in the design phase. b
The design phase and its importance:
Define Objectives:
The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.
The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:
During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.
This architectural design provides a high-level view of the system's organization.
Design System Components:
With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:
The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:
The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.
Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.
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Convert milligrams per liter to micrograms per (fluid ounce)
To convert milligrams per liter (mg/L) to micrograms per fluid ounce (µg/fl oz), we can use the conversion factor of 29.5735.
This conversion factor takes into account the difference in volume between a liter and a fluid ounce.
1 fl oz = 29.5735 mL
1 L = 1000 mL
So, to convert from milligrams per liter to micrograms per fluid ounce, we divide by 29.5735 and multiply by 1000:
(mg/L) * 1000 / 29.5735 = (µg/fl oz)
Therefore, to convert a value x from milligrams per liter to micrograms per fluid ounce:
x (µg/fl oz) = x (mg/L) * 1000 / 29.5735
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0.12 as a reduced fraction
Answer:
3/25
Step-by-step explanation:
0.12 multiplied by 100 equals 12
which means 12/100 is 0.12
now simplify
6/50
3/25
A fair coin is tossed 5 times. Calculate the probability that (a) five heads are obtained (b) four heads are obtained (c) one head is obtained A fair die is thrown eight times. Calculate the probability that (a) a 6 occurs six times (b) a 6 never happens (c) an odd number of 6s is thrown.
To calculate the probabilities, we need to use the concept of binomial probability.
For a fair coin being tossed 5 times:
(a) Probability of getting five heads:
The probability of getting a head in a single toss is 1/2.
Since each toss is independent, we multiply the probabilities together.
P(Head) = 1/2
P(Tails) = 1/2
P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125
So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.
(b) Probability of getting four heads:
There are five possible positions for the four heads.
P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625
So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.
(c) Probability of getting one head:
There are five possible positions for the one head.
P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625
So, the probability of obtaining one head is approximately 0.15625 or 15.625%.
For a fair die being thrown eight times:
(a) Probability of a 6 occurring six times:
The probability of rolling a 6 on a fair die is 1/6.
Since each roll is independent, we multiply the probabilities together.
P(6) = 1/6
P(Not 6) = 1 - P(6) = 5/6
P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433
So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.
(b) Probability of a 6 never happening:
P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256
So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.
(c) Probability of an odd number of 6s:
To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)
P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)
Calculate each term and sum them up to find the final probability.
After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.
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Help me with rewriting radical expressions please
Answer:
Below
Step-by-step explanation:
a^3 / sqrt(ab) = b multiply both sides by sqrt (ab)
a^3 = b sqrt(ab) square both sides
a^6 = b^2 (ab) simplify
a^5 = b^3
Mitch throws a ball over a 20 foot fence to a baseball field
Answer:
can you expand on your question?
Step-by-step explanation:
A coin is tossed $10$ times. How many different sequences of tosses could there have been, if at least $8$ of the tosses were heads
Complete the square
x^2 - 2x - 14 = 0
what is 1 and 2/5 as an improper fraction
Answer:
\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)
Step-by-step explanation:
\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)
The length of a rectangle is 5cm more then the width. the perimeter of the rectangle is 38cm.what is the width of the rectangle?
Answer:
Width=x
Length =x+5
Perimeter =38
2(x+x+5)=38
=>4x+10=38
=>x=28/4
=>x=7