Answer:
a) The ratio of height is 2:15
b) The ratio of surface area is 4:225
c) The ratio of volume is 8:3375
Step-by-step explanation:
The scale factor of model to original is 2 :15
Please remember the concept, when scale factor is a:b
Then ratio of sides would be same a:b
The ratio of surface area is \(a^{2} :b^{2}\)
The volume is \(a^{3} :b^{3}\)
According to the concept,
The ratio of height is 2:15
The ratio of surface area is \(2^{2} :15^{2}\) =4:225
The ratio of volume is \(2^{3} :15^{3}\) =8 :3375.
Helena builds a shed in her backyard. There is a larger section for large tools, like her lawn mower, and a smaller section for small tools. What is the length of the entire shed? What type of number is the length? List as many types of numbers for the length as you can.
Answer:
4+5\(\sqrt{2}\) ft
Step-by-step explanation:
The type o the length of the shed will be a real number and a rational number. Then the correct option is B and E.
What is a number system?The continuous portrayal of numerals using digits and perhaps other marks is known as a number system.
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.
Helena builds a shed in her backyard.
There is a larger section for large tools, like her lawn mower, and a smaller section for small tools.
The type o the length of the shed will be a real number and a rational number.
Then the correct option is B and E.
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On December 17, 2007 baseball writer John Hickey wrote an article for the Seattle P-I External link about increases to ticket prices for Seattle Mariners games during the 2008 season. The article included a data set that listed the average ticket price for each MLB team, the league in which the team plays (AL or NL), the number of wins during the 2007 season and the cost per win (in dollars). The data for the 16 National League teams are shown below. team league price wins cost/win
Order goes
Team/ League/ Price/ Wins/ cost per win
Arizona Diamondbacks /NL /19.68/ 90 /35.40
Atlanta Braves NL 17.07 /84/ 32.89
Chicago Cubs NL 34.30 /85/ 65.33
Cincinnati Reds NL 17.90 /72 /40.32
Colorado Rockies NL 14.72 /90 /26.67
Florida Marlins NL 16.70 /71 /38.13
Houston Astros NL 26.66 /73 /59.11
Los Angeles Dodgers NL 20.09 /82 /34.64
Milwaukee Brewers NL 18.11 /83 /35.37
N.Y. Mets NL 25.28 /88 /46.56
Philadelphia Phillies NL 26.73 /89 /48.69
Pittsburgh Pirates NL 17.08 /68 /40.67
San Diego Padres NL 20.83 /89 /38.15
San Francisco Giants NL 24.53 /71/ 56.00
St. Louis Cardinals NL 29.78 /78 /61.91
Washington Nationals NL 20.88 /73 /46.30
Compute the correlation between average 2007 price and number of 2007 wins for these 16 teams. (Assume the correlation conditions have been satisfied and round your answer to the nearest 0.001.)
The correlation between average 2007 price and number of 2007 is 0.207
To compute the correlation between the average 2007 price and the number of 2007 wins for the 16 National League baseball teams, we can use the formula for Pearson's correlation coefficient.
First, we need to calculate the following sums:
Sum of prices (ΣX) = 19.68 + 17.07 + 34.30 + 17.90 + 14.72 + 16.70 + 26.66 + 20.09 + 18.11 + 25.28 + 26.73 + 17.08 + 20.83 + 24.53 + 29.78 + 20.88 = 387.47
Sum of wins (ΣY) = 90 + 84 + 85 + 72 + 90 + 71 + 73 + 82 + 83 + 88 + 89 + 68 + 89 + 71 + 78 + 73 = 1296
Sum of products of prices and wins (ΣXY) = (19.68 * 90) + (17.07 * 84) + (34.30 * 85) + (17.90 * 72) + (14.72 * 90) + (16.70 * 71) + (26.66 * 73) + (20.09 * 82) + (18.11 * 83) + (25.28 * 88) + (26.73 * 89) + (17.08 * 68) + (20.83 * 89) + (24.53 * 71) + (29.78 * 78) + (20.88 * 73) = 24839.87
Sum of squared prices (ΣX^2) = (19.68)^2 + (17.07)^2 + (34.30)^2 + (17.90)^2 + (14.72)^2 + (16.70)^2 + (26.66)^2 + (20.09)^2 + (18.11)^2 + (25.28)^2 + (26.73)^2 + (17.08)^2 + (20.83)^2 + (24.53)^2 + (29.78)^2 + (20.88)^2 = 19151.7899
Sum of squared wins (ΣY^2) = (90)^2 + (84)^2 + (85)^2 + (72)^2 + (90)^2 + (71)^2 + (73)^2 + (82)^2 + (83)^2 + (88)^2 + (89)^2 + (68)^2 + (89)^2 + (71)^2 + (78)^2 + (73)^2 = 94518
Using these sums, we can calculate the correlation coefficient (r):
r = (n * ΣXY - ΣX * ΣY) / sqrt((n * ΣX^2 - (ΣX)^2) * (n * ΣY^2 - (ΣY)^2))
where n is the number of data points, which in this case is 16.
Substituting the values:
r = (16 * 24839.87 - 387.47 * 1296) / sqrt((16 * 19151.7899 - (387.47)^2) * (16 * 94518 - (1296)^2))
Calculating this expression gives us:
r ≈ 0.207
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Find the weighted average of these values. Value Weight 2.002.00 75.0u.0% 3.003.00 15.0.0% 4.004.00 10.0%
The reported values have a weighted average of 2.35.
Given the following data:
Value Weight
2.00 75.0%
3.00 15.0%
4.00 10.0%
The weighted average of these figures is calculated as follows:
First, multiply each value by its corresponding weight in decimal form and then add up the products:
2.00 * 0.75 + 3.00 * 0.15 + 4.00 * 0.10 = 1.50 + 0.45 + 0.40 = 2.35.
dividing the outcome by the weighted average:
2.35 ÷ (0.75 + 0.15 + 0.10) = 2.35 ÷ 1.00 = 2.35.
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What is the average rate of change for this quadratic function for the interval
from x=-5 to x = -3?
-10
10
A. -16
B. -8
C. 8
D. 16
x4
The average rate of change of the function at the interval is -8
How to determine the average rate of change?The table that completes the question is added as an attachment
From the table, we have:
f(5) = -26
f(3) = -10
The average rate is then calculated as:
Rate = (f(5) - f(3))/(5 -3)
This gives
Rate = (-26 + 10)/(5 -3)
Evaluate
Rate = -8
Hence, the average rate of change of the function is -8
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PLEASE HELPPPP WILL MARK BRAINLIEST
Answer:
2×5÷4=2.5
Step-by-step explanation:
2 boxes × 5 cards ÷ white cards
Aron flips a penny 9 times. which expression represents the probability of getting exactly 3 heads? p (k successes) = subscript n baseline c subscript k baseline p superscript k baseline (1 minus p) superscript n minus k. subscript n baseline c subscript k baseline = startfraction n factorial over (n minus k) factorial times k factorial endfraction
The probability of getting exactly 3 heads when a penny is flipped 9 times is approximately 0.1641.
The expression that represents the probability of getting exactly 3 heads when a penny is flipped 9 times is:
p(3 successes) = (9 C 3) * (0.5)^3 * (0.5)^(9-3)
Where:
"p(3 successes)" represents the probability of getting 3 heads.
"9 C 3" represents the number of ways to choose 3 flips out of 9 flips (also known as the binomial coefficient). This is calculated as 9! / (3! * (9-3)!), which simplifies to 84.
"0.5" represents the probability of getting heads on a single flip of a fair penny.
"(0.5)^(9-3)" represents the probability of getting tails on the remaining 6 flips, since the probability of getting either heads or tails on a single flip is 0.5.
Simplifying the expression, we get:
p(3 successes) = (9 C 3) * (0.5)^9
p(3 successes) = (84) * (0.5)^9
p(3 successes) ≈ 0.1641
Therefore, the probability of getting exactly 3 heads when a penny is flipped 9 times is approximately 0.1641.
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What is the difference between a checking and savings account quizlet?
A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.
What is check account quizlet?A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.
What is saving account quizlet?Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.
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Use the distributive property to write the following expression in expanded form.
5(7h + 3m)
==============================================================
The distributive property states that:-
\(\bigstar{\underline{\boxed{\pmb{a(b+c)=ab+ac}}}\)
Simplify:-
\(\bigstar{\boxed{\pmb{5(7h+3m)}}}\)
\(\longmapsto\sf{(5~times~7h)+)5*3m)\)
\(\longmapsto\sf{35h*15m}\)
===============================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
An experimenter would like to construct a 99% confidence interval with a width at most 0. 5 for the average resistance of a segment of copper cable of a certain length. If the experimenter knows that the standard deviation of such resistances is 1. 55. How big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?.
A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.
In the given question,
The confidence level = 99%
Given width = 0.5
Standard deviation of resistance(\sigma)= 1.55
We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.
The formula to find the a big sample that should the experimenter take from the population is
Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)
So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)
where n=sample size
We firstly find the value of ME and \(z_{\alpha /2}\).
Firstly finding the value of ME.
ME=Width/2
ME=0.5/2
ME=0.25
Now finding the value of \(z_{\alpha /2}\).
Te given interval is 99%=99/100=0.99
The value of \(\alpha\) =1−0.99
The value of \(\alpha\) =0.01
Then the value of \(\alpha /2\) = 0.01/2 = 0.005
From the standard table of z
\(z_{0.005}\) =2.58
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{1.55}{0.25})^2\)
Simplifying
n=(3.999/0.25)^2
n=(15.996)^2
n=255.87
n≈256
Hence, the sample that the experimenter take from the population is 256.
Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.
The new values,
Standard deviation of resistance(\(\sigma\))= 2×1.55
Standard deviation of resistance(\(\sigma\))= 3.1
width = 2×0.5
width = 1
Now the value of ME.
ME=1/2
ME=0.5
The z value is remain same.
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{3.1}{0.5})^2\)
Simplifying
n=(7.998/0.5\()^2\)
n=(15.996\()^2\)
n=255.87
n≈256
Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.
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A frog starts jumping from the middle of a circular pond.
The pond is 12 metres across, from one side to the other.
43
The frog always jumps half the distance left to the edge of the pond.
How far is the frog from the edge after 3 jumps?
Answer:
Step-by-step explanation:
Remark
You could do this simply by taking 3 jumps, without using a formula. That would work as well, but I think it is easier just to make 3 jumps.
Jump One
The frog starts out 6 meters from an edge. (He/she starts at the middle). The frog makes 1 jump.
He lands 3 meters (1/2 the distance) from the edge.
Jump Two
He jumps in such a way that he is 1/2 the distance from the edge. So far he is 3 meters away. His jump puts him 1 1/2 meters from the edge.
Jump Three
The frog makes one last jump. It is 1 1/2 meters from the edge. The third jump takes it 1/2 * 3/2 = 3/4 a meter away from the edge.
Answer: 3/4 of a meter from the edge.
Help with geometry similar triangles. Solve for x if ABC ~ JKL.
The line plot represents the wait time in line for a ride at a local fair.
A line plot titled Wait Time at the Fair. The horizontal line labeled Time in Minutes begins at 4, with every one unit labeled up to 10. There are 2 dots above 8. There are 3 dots above 5. There are 5 dots above 7. There are 6 dots above 6.
Which of the following best describes the shape of the data, and why?
The data is skewed and might mean that the wait times were lower than 5 minutes because the park was not busy.
The data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
The data is symmetric and might mean that most rides had a wait of 6 to 7 minutes, which are the expected times for those rides.
The data is bimodal with peaks and might mean that the wait times were usually 5 or 7 minutes to ride, which is lower than the expected wait time for those rides.
The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.
The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.
Here's the explanation:
From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.
The distribution is not symmetric, as the data points are not evenly spread around a central value.
The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.
Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.
However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.
The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.
It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.
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Ann and Zoe love ice cream with cherries on top. Ann put 4 cherries on hers. Ann had 2 fewer cherries
than Zoe.
How many cherries did Zoe have?
cherries
Answer:
Zoe has 6 cherries
Answer:
6
Step-by-step explanation:
if Ann had 4 cherries on her Ice Cream and it says that Ann had 2 fewer that Zoe. So Zoe should have 6 cherries.
\(4+2=6\)
Please help I will give brainliest and a lot of points :)
The inequality shaded in the graph is given as follows:
y ≥ 5x/2 + 3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The graph crosses the y-axis at y = -3, hence the intercept b is given as follows:
b = 3.
When x increases by 2, y increases by 5, hence the slope m is given as follows:
m = 5/2.
Then the equation of the line is given as follows:
y = 5x/2 + 3.
The line is a solid line, and values above it are plotted, hence the inequality is given as follows:
y ≥ 5x/2 + 3.
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You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points)
Answer:
The answer is 10.89. I dont know how to solve it but my dad told me this is the answer!
Step-by-step explanation:
Please give me brainliest! UnU
I just need the answers to 3.) and 6.) please show your work if you want brainlyist
Find the area of 3.) and 6.)
Answer:
3) 48 units²
6) 46 units²
Step-by-step explanation:
Question 3
This shape is a parallelogram with base of 8 units and height of 6 units.
Area of a parallelogram = base × height
= 8 × 6
= 48 units²
Question 6
This shape is a quadrilateral. It is made up of 3 triangles and a rectangle (see attached image for how to divide the quadrilateral)
Area of rectangle = width × length
= 4 × 6
= 24 units²
Area of a triangle = 1/2 × base × height
Triangle 1: 1/2 × 2 × 4 = 4 units²
Triangle 2: 1/2 × 6 × 2 = 6 units²
Triangle 3: 1/2 × 4 × 6 = 12 units²
Total area = 24 + 4 + 6 + 12 = 46 units²
1/5 x 1/2 *
mark you brainlyest
The answer will be 1/10. First you will change the denominator to the same number because you can’t mutiply fractions if the denominator is different. 5x2=10 and 2x5=10. So both of the denominator will turn into a 10. Now you’ll have to find the numerator. For the first one, multiply it by 2 because that how much the number need to turn equalvilant for the denominator. 1x2=2. So now you know that the first fraction is 2/10. Then you multiply 1 with 5 which is 5. Now the numbers all have the same denominator. Multiply 2/10 and 5/10 which is 1/10.
t/f) the matrix a and its transpose, at, have different setsof eigenvalues
O Personal math Iainer23 4 596 7 810VieFind the sum. You may find using a number line to be helpful. Express your answer as a simplified mixednumber, if necessary.Ste3+1/2VidТехThe result isPrit
We will find the sum of 3+ 1 1/2 with help of a
Which of the this is a mathematical translation of "A number increased by 7".
A. a + 7
B. 7 + a
C. 7a
D. 7/a
Please answer and show work if possible
Answer:
it 180 degrees
Step-by-step explanation:
The formula is -900° × π/180 = -15.71rad
Adam buys a car for £15060 which depreciates in value at a rate of 1.5 per year. Work out how much Adam's car will be worth in 9 years.
Answer: £13026.90
Step-by-step explanation:
1.5% of £15060 = 225.90
225.90 x 9 = 2033.10
15060 - 2033.10 = 13026.90
hope this helps ;)
Answer:
13,026.9
Step-by-step explanation:
1.5% of £15060=£225
£225×9
statistical considerations for use of composite health-related quality-of-life scores in randomized trials
Statistical considerations for the use of composite health-related quality-of-life scores in randomised trials
This is a research paper whose author is Andrew J. Vickers.
Abstract:
background: In randomised studies, first-rate of life measures are mechanically utilised as outcomes. contraptions with several subscales provide researchers the choice of combining a few or all scales right into a unmarried composite score. There is probably diverse clinically and scientifically sound alternative subscale combinations for the predominant outcome degree.foremost findings: The statistical effectiveness of diverse subscale combinations is decided with the aid of the relative effect size of the intervention on every subscale as well as the correlation between the subscales. easy formulae may be installed to determine the relative statistical efficiency of each clinically appropriate subscale aggregate. Hypothetical situations imply that the variety of participants required in a scientific trial is probably twice as huge for a few subscale combinations as for others.Conclusions:
Ina randomised examine, there are often robust scientific or scientific reasons to pick a positive subscale or composite.whilst there are several viable picks, statistical performance can help in guiding the choice of endpoint.To learn more about statistics, visit :
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At the beginning of an experiment, a scientist has 176 grams of radioactive goo. After 135 minutes, her sample has decayed to 11 grams. What is the half-life of the goo in minutes? Find a formula for G ( t ) , the amount of goo remaining at time t . G ( t ) = How many grams of goo will remain after 32 minutes?
Answer:
The amount of goo remaining after 32 minutes is approximately 54.7 grams.
Step-by-step explanation:
The half-life of a substance is the amount of time it takes for half of the substance to decay. To find the half-life of the goo in the experiment, we need to solve the equation G ( t ) = G ( 0 ) / 2 for t , where G ( 0 ) is the initial amount of goo and G ( t ) is the amount of goo remaining after time t .In this case, G ( 0 ) = 176 grams and G ( 135 minutes ) = 11 grams, so we can write the equation as follows:11 grams = 176 grams / 2Solving for t , we get:t = 135 minutes * ( 1 / 2 ) = 67.5 minutesThis is the half-life of the goo in the experiment.To find the amount of goo remaining after time t , we can use the equation G ( t ) = G ( 0 ) * ( 1 / 2 ) ^ ( t / t1/2 ) , where G ( 0 ) is the initial amount of goo, t is the time at which we want to find the amount of goo remaining, and t1/2 is the half-life of the goo.In this case, G ( 0 ) = 176 grams, t = 32 minutes, and t1/2 = 67.5 minutes, so we can plug these values into the equation to find the amount of goo remaining after 32 minutes:G ( 32 minutes ) = 176 grams * ( 1 / 2 ) ^ ( 32 minutes / 67.5 minutes )This equation tells us that the amount of goo remaining after 32 minutes is approximately 54.7 grams.
The Spring Break-Inn Hotel is trying to make plans for the spring break season. They must decide on the number of beds to place in each room in order to maximize profit. They can put 1, 2, or 3 beds in any room and realize a profit of $90, $115, or $180 respectively. They have a total of 200 beds and 100 rooms available. They would like to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1.
The decision variables for this model would be:
Let X1 = the number of 1 bedroom rentals
Let X2 = the number of 2 bedroom rentals
Let X3 = the number of 3 bedroom rentals
What would be the constraint(s) to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1?
X3 <= 4X2
3X3 <= 4X2
X2 <= 4X3
2X2 <= 4X3
None of these
The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:
3X3 <= 4X2
This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.
For example, if there are 10 2 bedroom rentals (X2), the constraint would be:
3X3 <= 4(10)
3X3 <= 40
This means that the number of 3 bedroom rentals (X3) cannot exceed 40.
The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.
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margo is selling boxes of nuts to raise money fir her club. she finds that 3 out of every 7 boxes of nuts sold are cashews. write an equation for the line using y
Margo is raising money for her club by selling boxes of nuts. She discovers that cashews are sold in three out of every seven cartons of nuts. The ratio, y=3/7, is the proportion of cashew boxes sold to all boxes sold.
Describe ratio:
A relationship between two quantities is called a ratio, and it is expressed as one quantity divided by the other. A ratio between two quantities, let's say 'a' and 'b,' is typically expressed as a: b.
Three out of every seven boxes of nuts, according to Margo, are cashews. These steps can be used to determine the ratio of two quantities: Before we can calculate the ratio, we must first figure out the values for both instances. There are three cashews and seven boxes present in this scenario. As a fraction, write it as a/b. Therefore, we express it as y= 3/7. As a result, the ratio of the number of cashew boxes to the total number of boxes sold is given as y=3/7.
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Solve the following equation for x. Express your answer in the simplest form.
-2 (-2x + 3) = 4x - 6
The equation has blank
and it is x = blank
Answer: all real numbers
Step-by-step explanation:
-2(-2x + 3) = 4x - 6
distribute the -2
4x - 6 = 4x - 6
add 6 to both sides
4x = 4x
x = all real numbers
solve for x. Round to the nearest tenth. with the numbers x , 17 , and 9.
The value of x is 14.4 to the nearest tenth.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is a right-angled triangle.
Hypotenuse = 17 unit
Base = 9 unit
And perpendicular = x unit
Using Pythagoras' theorem,
Perpendicular = √{(hypotenuse)² - (base)²}
Perpendicular = √{(17)² - (9)²}
Perpendicular = √{289 - 81}
Perpendicular = √208
Perpendicular = 14.422
Perpendicular = 14.4 to the nearest tenth.
Therefore, the value of x is 14.4
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The complete question is given in the attached image.
give an example schedule with actions of transactions t1 and t 2 on objects x and y that results in a write-read conflict.
A schedule example that demonstrates a write-read conflict involving actions of transactions T1 and T2 on objects X and Y. The write-read conflict occurs at step 2, when T2 reads the value of X after T1 has written to it, but before T1 has committed or aborted.
A write-read conflict occurs when one transaction writes a value to a data item, and another transaction reads the same data item before the first transaction has committed or aborted.
An example schedule with actions of transactions T1 and T2 on objects X and Y that results in a write-read conflict:
1. T1: Write(X)
2. T2: Read(X)
3. T1: Read(Y)
4. T2: Write(Y)
5. T1: Commit
6. T2: Commit
In this schedule, the write-read conflict occurs at step 2, when T2 reads the value of X after T1 has written to it, but before T1 has committed or aborted. This can potentially cause problems if T1 later decides to abort, since T2 has already read the uncommitted value of X.
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Help, please :)
I really appreciate if you help me with steps as well, thanks! <3
Answer:
Step-by-step explanation:
All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:
\(AL=\frac{\theta}{360}*2 \pi r\) and filling in:
\(8.73=\frac{\theta}{360}*(2)(3.14)(10)\) which simplifies to
\(8.73=\frac{62.8\theta}{360}\) which simplifies a bit more to
\(\frac{360(8.73)}{62.8}=\theta\) so
\(\theta=50.04\) degrees. That means that arc DE also measures 50.04 degrees.