Pleaseee Helpp. If the radius is 21 m and area of sector of the circle are 27.72 m2, calculate the angle at the centre of the circle.
Answers
Given:
Radius of a circle = 21 m
Area of a sector of the circle = 27.72 m²
To find:
The angle at the center of the circle.
Solution:
The area of a second is:
\(A=\pi r^2\times \dfrac{\theta}{360^\circ}\)
Where, r is the radius of the circle and \(\theta\) is the central angle.
Putting \(\pi=\dfrac{22}{7},\ r=21,\ A=27.72\) in the above formula, we get
\(27.72=\dfrac{22}{7}\times (21)^2\times \dfrac{\theta}{360^\circ}\)
\(27.72=1386\times \dfrac{\theta}{360^\circ}\)
\(27.72=3.85^\circ \times \theta\)
\(\dfrac{27.72}{3.85^\circ }=\theta\)
\(7.2^\circ=\theta\)
Therefore, the central angle of the sector is \(7.2^\circ\).
Related Questions
Point M is located (-4,-6)What is located 4 units from point MChose 1 answer A. Point AB. Point BC. Point CD. x-axis E. y-axis
Answers
Answer:
y-axis is located 4 units from point M
\(E\text{. y-axis}\)Explanation:
Given that the point M is located at;
\((-4,-6)\)we want to find what is located 4 units from M.
Points A,B and C are all more than 4 units point M.
Point M is 6 units from the x-axis.
Point M is 4 units from the y-axis.
Therefore, y-axis is located 4 units from point M
Why do analysts use financial ratios rather than absolute
numbers? Give some examples. Minimum 400 words.
Answers
Analysts use financial ratios rather than absolute numbers because ratios provide a more meaningful and comparative assessment of a company's financial performance.
Ratios allow for a standardized comparison between companies of different sizes and industries, facilitating a better understanding of their financial health, operational efficiency, and profitability.
Furthermore, ratios enable analysts to evaluate a company's performance over time and benchmark it against industry averages and competitors. Some examples of commonly used financial ratios include the current ratio, return on equity (ROE), and earnings per share (EPS).
Current Ratio: The current ratio measures a company's ability to meet its short-term obligations. It is calculated by dividing current assets by current liabilities. For example, if a company has current assets of $500,000 and current liabilities of $250,000, the current ratio would be 2 ($500,000 / $250,000). A higher current ratio indicates a stronger liquidity position, suggesting the company is better equipped to meet its short-term financial obligations.
Return on Equity (ROE): ROE measures a company's profitability relative to its shareholders' equity. It is calculated by dividing net income by average shareholders' equity and multiplying by 100 to express it as a percentage. For instance, if a company has a net income of $1 million and average shareholders' equity of $10 million, the ROE would be 10% ($1 million / $10 million * 100). A higher ROE signifies better profitability and efficient utilization of shareholders' capital.
Earnings per Share (EPS): EPS indicates the profitability of a company on a per-share basis. It is calculated by dividing net income attributable to common shareholders by the weighted average number of outstanding shares. For example, if a company has a net income of $5 million and 10 million weighted average shares outstanding, the EPS would be $0.50 ($5 million / 10 million). A higher EPS implies higher profitability for each share held by investors.
Financial ratios provide valuable insights into a company's financial performance and facilitate better comparisons and analysis. Absolute numbers alone may not convey the same level of meaningful information or allow for easy comparisons between companies. Ratios allow analysts to assess a company's financial health, profitability, liquidity, efficiency, and other key aspects relative to industry peers and historical performance.
They help identify trends, strengths, weaknesses, and potential investment opportunities or risks. While absolute numbers provide essential context, ratios offer a standardized framework for evaluation and decision-making, making them a preferred tool for financial analysis.
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Lebron makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how much apple juice does Lebron need to make 4 times the original recipe
Answers
Answer:
For 4 times the original recipe Lebron needs 12 cups of cranberry juice with 8 cups of apple juice.
Step-by-step explanation:
For 5 cups of punch Lebron needs 3 cups of cranberry juice with 2 cups of apple juice.
For 4 times the original recipe Lebron needs 3*4= 12 cups of cranberry juice with 2*4= 8 cups of apple juice.
He will get 20 cups of punch.
We multiply each ingredient of the original recipe by the factor 4 to get the required ingredients of the 4 times product as the original product.
What is the domain of the
square root function graphed below?
Answers
Answer:
\(x \geq - 4\)
Step-by-step explanation:
The domain calls for the x-values. All the x-values of the function are greater than or equal to (because the point on (-4,0) is filled in) -4.
Compare- 6 broken bulbs out of 20 or 7 broken bulbs out of 30
Answers
Answer:
well 6/20 has more absolute value than 7/30
Step-by-step explanation:
also 7/30 is closer to zero
Comparison of 30% has more absolute value than 23.3%
What is percentage?Percentage is defined as ratio expressed as a fraction of 100.
Let x = 6 broken bulbs out of 20
y = 7 broken bulbs out of 30
x = 6/20
x = 0.3
There are 30% bulbs broken out of 20
y = 7/30
y = 0.233
There are 23.3% bulbs broken out of 20
Hence, 30% has more absolute value than 23.3%
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In the decathlon event at large track meets, male athletes compete in a total of 10 events. Their combined performance in each of the events is used to determine the winner. Two of the events are the 200-meter dash and the javelin throw. For 12 athletes at a large international competition, performances in these events are recorded and placed in a scatterplot. The performance for one athlete from Latvia is labeled in the graph.
How does this point influence the correlation of the scatterplot?
This data point weakens the correlation.
This data point strengthens the correlation.
This data point has no influence on the correlation.
Removing this data point would lower the correlation coefficient.
Answers
Answer: Without actually seeing the scatterplot, it is difficult to determine the effect of the point for the specific situation described. However, in general, the effect of an outlier or an extreme value on a scatterplot depends on the context and the relationship between the variables being measured.
If the point is significantly far from the rest of the data points and does not follow the same general pattern or trend, it could be considered an outlier. In this case, it could have a significant effect on the correlation of the scatterplot. If the correlation was originally strong, the outlier could weaken the correlation, while if the correlation was originally weak, the outlier could strengthen the correlation.
On the other hand, if the point is not significantly far from the rest of the data points and follows the same general pattern or trend, it may not have a significant effect on the correlation of the scatterplot. In this case, removing the data point would likely have little effect on the correlation coefficient.
Step-by-step explanation:
Is the function linear? (actual answers please, i know someone could easily say yes or no)
Answers
Answer:
Obviously yes...
Step-by-step explanation:
Because there is not a single curve, hence the fn is linear.
Had it been if there are some curves, it may result in having more than one zeroes...
Cuz there's no curve it has only one zero, which made the fn linear..
Thanks.
PLEASE HELP I WILL MARK BRAINLIEST!!!! :)
Answers
Answer:
your answer is D
plz mark me as brainliest
What is the solution to the equation? n = 2 n = 4 n = 7 n = 14
Answers
Answer:
n = 2
Step-by-step explanation:
\(\sqrt{2n+28}-4\sqrt{n}=0\\\\\\\sqrt{2n+28} = 4\sqrt{n}\\\\\)
Take square,
\((\sqrt{2n+28})^{2}=( 4\sqrt{n})^{2}\\\\ 2n + 28 = 16n\\\\28 = 16n -2n\\\\28 =14n\\\\14n=28\\\\n=\frac{28}{14}\\\\n=2\)
Answer:
n=2
Step-by-step explanation:
got it right on edge
Following are the factor ratings (100 points is the maximum) of three possible locations for a clothing store.
Location
Factor
Weight A B C
Convenience of access .10 92 70 72
Parking facility .15 91 73 75
Frontage .19 96 89 74
Shopper traffic .31 79 95 80
Operating cost .10 70 95 92
Neighbourhood .15 69 81 96
1.00
a. Determine the composite score for each location. (Round intermediate calculations to 2 decimal places. Round the final answers to 2 decimal places.)
A B C
Composite score
b. Using part a results, determine which location should be chosen for the clothing store.
multiple choice
Location B
Location C
Location A
Answers
a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b) Based on the composite scores, Location A should be chosen for the clothing store.
To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.
a. The composite score for each location is calculated as follows:
Location A:
Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)
Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)
Composite score = 84.34
Location B:
Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)
Composite score = 81.05
Location C:
Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)
Composite score = 82.63
b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.
After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.
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During the summer Tyler delivers packages a Miranda Cares for animal on a farm to show there earnings Tyler makes a graph and Miranda makes a table, which statement is true?
Answers
Answer:
divide the earnings number by the time, and then subtract the quotient by the slope of tylers graph.
A synthesis reaction takes place when carbon monoxide (CO) and hydrogen gas (H2) react to form methanol (CH3OH). How many grams of methanol are produced when 2. 8 grams of carbon monoxide reacts with 0. 50 grams of hydrogen gas
Answers
To determine the grams of methanol produced in the synthesis reaction between carbon monoxide (CO) and hydrogen gas (H2), we need to use the balanced chemical equation and stoichiometry. The balanced equation for the reaction is:
2 CO + 4 H2 -> CH3OH
From the balanced equation, we can see that two moles of carbon monoxide (CO) react with four moles of hydrogen gas (H2) to produce one mole of methanol (CH3OH). To calculate the grams of methanol produced, we need to convert the given masses of carbon monoxide and hydrogen gas into moles, then use the stoichiometric coefficients to find the moles of methanol, and finally convert the moles back into grams.
By converting 2.8 grams of carbon monoxide and 0.50 grams of hydrogen gas into moles, using their respective molar masses, we can calculate the limiting reactant. Comparing the moles of the reactants to the stoichiometric ratios, we can determine that carbon monoxide is the limiting reactant. Using the stoichiometric ratios, we find that 2.8 grams of carbon monoxide (CO) is equivalent to approximately 0.057 moles.
Since the stoichiometry tells us that 2 moles of carbon monoxide (CO) produce 1 mole of methanol (CH3OH), we can determine the number of moles of methanol produced. Therefore, 0.057 moles of carbon monoxide (CO) will produce approximately 0.0285 moles of methanol (CH3OH).
Lastly, to find the grams of methanol produced, we multiply the moles of methanol by its molar mass, which is approximately 32 grams/mole. Thus, 0.0285 moles of methanol is equal to approximately 0.912 grams. Therefore, when 2.8 grams of carbon monoxide reacts with 0.50 grams of hydrogen gas, approximately 0.912 grams of methanol are produced.
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What is 117/320 simplified to a mixed fraction
Answers
Answer:
hope this helps 229 999 0523
117 /320 ≈ 0.366
Step-by-step explanation:
Step 1 of 1: Simplify.
Simplify
117 over 320
117
320
Step 1 of 1: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 117 and 320. The result can't be further reduced.
Answer:
0.5087
Step-by-step explanation:
i just know it...
PLEASE HELP:’)
The revenue for a company producing widgets is given by y = -20^2- 50x + 100, where x
is the price in dollars for each widget. The cost for the production is given by y = 30x -
10. Determine the price that will allow the production of widget to break even.
Answers
Answer:
Step-by-step explanation:
I got x=2.779 sorry if it's not right
Help please due now!
Answers
Answer:
90
Step-by-step explanation:
x•y-z²
x=9,y=14,z=6
9 • 14 - 6²
126-36=90
in δmno, m = 50 cm, o = 35 cm and ∠o=83°. find all possible values of ∠m, to the nearest degree.
Answers
Based on the given information, there are no possible values of ∠m to the nearest degree that make sense. It's possible that there is a typo or error in the problem statement.
In ΔMNO, given m = 50 cm, o = 35 cm, and ∠O = 83°, we can find all possible values of ∠M using the Law of Sines.
First, let's set up the equation:
sin(∠M) / m = sin(∠O) / o
Now, plug in the given values:
sin(∠M) / 50 = sin(83°) / 35
Solve for sin(∠M):
sin(∠M) = (50 * sin(83°)) / 35
Calculate the value of sin(∠M):
sin(∠M) ≈ 0.964
Now, find the angle:
∠M = arcsin(0.964)
∠M ≈ 75° (to the nearest degree)
So, the possible value for ∠M is approximately 75°.
To find the possible values of ∠m, we can use the fact that the sum of angles in a triangle is 180 degrees. First, we can find the measure of ∠n by subtracting the given angle from 180:
∠n = 180 - ∠o
∠n = 180 - 83
∠n = 97 degrees
Now we can use the fact that the sum of angles in a triangle is 180 degrees to find the measure of ∠m:
∠m + ∠n + ∠o = 180
Substituting in the given values:
∠m + 97 + 83 = 180
Simplifying:
∠m = 180 - 97 - 83
∠m = 0 degrees
This doesn't make sense - a triangle cannot have an angle with a measure of 0 degrees.
However, we can also use the fact that the sum of angles in a triangle is 180 degrees to find an inequality for ∠m:
∠m + ∠n + ∠o = 180
Substituting in the given values:
∠m + 97 + 83 = 180
Simplifying:
∠m = 0 degrees
This tells us that if ∠m is 0 degrees, then the other two angles must add up to 180 degrees. But we also know that ∠m and ∠n must be acute angles (less than 90 degrees) since the opposite sides of the triangle are longer than the adjacent sides.
Therefore, the only possible value for ∠m is less than 90 degrees. We can estimate this value by subtracting the sum of the other two angles (180 - 97 - 83 = 0 degrees) from 180:
∠m < 180 - 97 - 83
∠m < 0 degrees
Again, this doesn't make sense.
So, based on the given information, there are no possible values of ∠m to the nearest degree that make sense. It's possible that there is a typo or error in the problem statement.
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HURRY!!! NEED IT FAST ! WILL MARK BRAINLIEST!!!
Answers
Answer:
-6.666
Step-by-step explanation:
Answer:
-2/5
Step-by-step explanation:
Let's plug in all of the numbers: \(\frac{-(-2^2)(4(-3)-5(-2))}{3(4)-4(-2)}\)
We get \(\frac{-(-4)(-12+10)}{12+8}\)
Simplify further to get \(\frac{4(-2)}{20}\)
Or \(\frac{-8}{20}\)
Which can be simplified to -\(\frac{2}{5}\)
Find the measure of the following angle
Answers
Answer:
65 degrees
Step-by-step explanation:
It is between 60 and 70 ish 65
Andros has an oil fired heating system. In a 30-day period he used a full tank of oil at a constant rate per day. At a different time of the year the amount of oil Andros uses per day is 1 3 of the rate used in the 30-day period. (a) How many days should a full tank of oil?
Answers
Step-by-step explanation:
30 days period multiply by 7 days
=210 therefore our answer is =210
A balloon holds 2 cubic feet of air. The balloon is blown up larger to hold 6
cubic feet of air. What is the percent of change for the volume of air inside
the balloon?
Answers
Answer:
Initially 4.2 cubic feet,
Blown to 5.6 cubic feet,
% Change = (5.6 - 4.2) / 4.2 * 100%
= 1.4/4.2 * 100%
= 1/3 * 100%
= 100/3 %
= 33 1/3 %
I hope this helps.
Step-by-step explanation:
NEED ASAP!!
Find the surface area of the pyramid.
Answers
A ≈ 473.63
Step-by-step explanation: To find the surface area for a pyramid, we can use this formula: \(A=lw+l\sqrt{(\frac{w}{2})^2 } +h^2+w\sqrt{(\frac{l}{y} } )^2+h^2\)
Solution: \(10\times10+10\times\sqrt{(\frac{10}{2} } )^2+18^2+10\times\sqrt{(\frac{10}{2} } )^2+18^2=423.63\)
Let me know if you have any questions.
~ Lily, from Brainly.
plz help what is 8 t.=_______lb.?
Answers
Answer:
16,000 lb.
Step-by-step explanation:
For every ton, it equals 2,000 pounds. So to find how many pounds is in 8 tons, just multiply 2,000 by 8. This would give you 16,000 pounds!
This is of course using the U.S. tons, so if you want to convert it for metric tons it would be 17,632 since 1 metric ton = 2204.
I hope this was able to help!
Idently the domain of the function
-5
0
All real numbers
All positive numbers
Answers
Answer:
13
Step-by-step explanation:
if you take the ideal number and multiply it with 12 the subtract 13 and add 1 and subtract seven the divide that by 11 and then Divid that answer by 17 and then you have your answer which is 13
Harriet has five more than three times the number of toys than Julie. Write an algebraic expression that shows the number of toys Harriet has in terms of the number of toys that Julie has.
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Let the number of toys Julie has be x
now, the expression representing the number of toys that Harriet have is :
\(3x + 5\)Answer:
3j + 5
Step-by-step explanation:
julie = j
so ur expression would be
3j + 5
brainliest?
HELP PLS, 40points and brainliest!!! Find the volume of a cone with a base radius of 4 cm and a height of 12 cm.
Answers
Answer:
no
Step-by-step explanation:
24, 31, 12, 38, 12, 15 Median Mean Range Mode :
Answers
Answer:
Step-by-step explanation:
Mode = 12
Range = Maximum value - Minimum value
= 38 - 12
= 26
Median:
Arrange in ascending order:
12 , 12 , 15 , 24 , 31 , 38
If number of data set is even, find the average of n/2 and (n/2) + 1th term
Number of data set = 6
Median = average of 3rd and 4th term
\(= \dfrac{15+24}{2}=\dfrac{39}{2}=19.5\)
Median = 19.5
\(Mean = \dfrac{Sum \ of \ all \ data}{number \ of \ data \ set}\\\\=\dfrac{24+31+12+38+12+15}{6}\\\\\\=\dfrac{132}{6}\\\\= 22\)
The mean and the median are closely related concepts. The median is the numerical value separating the higher half of your data from the lower half. You can find the median by arranging all of the observations from lowest value to highest value and picking the middle value​ (assuming you have an odd number of​ observations). Although the mean and median are closely​ related, the difference between the mean and the median is sometimes of interest.
Suppose Country A has five families. Their incomes are $9000, $21,000, $29,000, $39,000, and $50,000.
Country A's median income is _______, and its mean income is ______.
Suppose country B also has five familities. Their incomes are $9000, 21000, 29000, 39000, and 151000.
Country B's median income is _____ and its mean income is ____.
Country _____ has a greater income inequality
Based on your answers to this​ question, would you expect the ratio of the mean income in the United States to the median income has risen or​ fallen? Explain.
A.
​Fallen, because means change less with standard deviation.
B.
​Risen, because means change more with extreme values.
C.
​Risen, because means increase but medians decrease with income.
D.
​Risen, because medians increase with variance but means do not.
Answers
Mean of country A is $29600 and median $29000. Mean of country B is $49800 and median is $29000. Country B has greater income inequality. So option B is the correct answer.
Mean of incomes in country A = (9000+ 21000+ 29000 + 39000+ 50000)/5 = $29600
Median income of country A = (5+1)/2 th term = 3rd term = $29000
Mean to median ratio = 29600/ 26000= 1.02
Mean income of country B = ( 9000+ 21000+ 29000+ 39000+ 151000)/5 = $ 49800
Median income = (n+1)/2 th term = (5+1)/2 = 3rd term = 29000
Mean to median ratio of country B = 49800/29000 = 1.71
Since mean and median are closer to each other, standard deviation is less. The mean to median ratio is greater for country B. So country B has greater income inequality.
If the income inequality has been increasing, then the mean-median ratio will increase, due to the extreme values, mean will increase. So option B is the correct answer.
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PLEASE HELP 15 points
Answers
Answer:
a
Step-by-step explanation:
PLEASE HELP 15 points
Using the formula a(x+h)^2+k to solve 5x^2-3x-2=0 prove that the answer is 5(5x-3/10)^2-49/20
Answers
By Solving by factorization method of equation 5x² - 3x - 2 = 0
x = 1 , \(\frac{-2}{5}\)
What is meant by Quadratic equations?The polynomial equations of degree two in one variable of type f(x) = ax2 + bx + c = 0 and with a, b, c, and R R and a 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" for the absolute term of f. (x).Square and quadrangle difficulties have a close relationship with quadratic equations (another name for rectangles). In actuality, the Latin word quadratus, which means square, is the root of the word quadratic.Quadratic equations include those that have the solutions 6x2 + 11x - 35 = 0, 2x2 - 4x - 2 = 0, 2x2 - 64 = 0, x2 - 16 = 0, x2 - 7x = 0, 2x2 + 8x = 0, etc. You can see from these examples that some quadratic equations don't contain the terms "c" and "bx."Given data :
Given equation is, 5x² - 3x - 2 = 0
Solving by factorization method,
5x² - 3x - 2 = 0
5x² - 5x + 2x - 2 = 0
( 5x + 2 ) ( x -*1 ) = 0
x = 1 , \(\frac{-2}{5}\)
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katie has 4 grapes candies and 3 cherries candies. The ratio of the number of grapes candies to the total number of candie is
Answers
Answer: 7 I think its adding but if its multiplying it is 12
Step-by-step explanation:
Answer:
4:3
Step-by-step explanation:
Hope this helps