The solution is:
Part a) is the measure of the angle formed by two consecutive radii is 30 degrees
part b) is
the measure of the angle formed by a radius and a side is 75°
we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°
therefore
the answer Part a) is the measure of the angle formed by two consecutive radii is 30 degrees
Part b)
we know that
OAC is an isosceles triangle
so
OA=OC
m∠OAC=m∠OCA
the sum of the internal angles of a triangle is 180 degrees
so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°
the answer part b) is
the measure of the angle formed by a radius and a side is 75°
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Oh man snow traveling at the speed of 40 feet in one hour what was its speed in centimeters per minute
The speed of snow traveling at 40 feet per hour is equivalent to 20.41 centimeters per minute.
To convert the speed of snow from feet per hour to centimeters per minute, we need to use the appropriate conversion factors.
We convert 40 feet per hour to feet per minute by dividing it by 60, since there are 60 minutes in an hour. 40 feet per hour / 60 = 0.67 feet per minute
We convert feet to centimeters by multiplying by the conversion factor of 30.48, since there are 30.48 centimeters in a foot. 0.67 feet per minute * 30.48 = 20.41 centimeters per minute.
It's important to pay attention to units when making conversions, as it can significantly affect the accuracy of calculations. In this case, we made sure to use the appropriate conversion factors to convert between feet per hour and centimeters per minute.
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Which angles are adjacent? Select all that apply.
A. ∠AFB and ∠BFC
B. ∠AFB and ∠CFD
C. ∠BFC and ∠CFD
D. ∠BFC and ∠DFE
E. ∠CFD and ∠DFE
Answer:
It looks like the angle between C and D are the same as between D and E, so the correct answer would be:
E. ∠CFD and ∠DFE
Brainliest? ;)
It helps a lot!
Answer:
A, C, E.
Step-by-step explanation:
Hope it helps. :)
please help me rnnnnnnnnnnn
Answer:
50%
Step-by-step explanation:
Tom needs to attend flight school for more than 100 hours to get his license. He has already attended 15 hours. He will attend for h more hours. Which statement models this situation?
Group of answer choices
15h > 100
15h = 100
15 + h > 100
15 + h = 100
Answer:
(c) 15 + h > 100
Step-by-step explanation:
You want a math model for the situation in which Tom has attended flight school for 15 hours, will attend for h more hours, and want the total to exceed 100 hours.
HoursThe total number of hours in flight school will be the sum of the 15 already attended and the h hours that will be attended. This total needs to be more than 100:
15 + h > 100 . . . . . . matches choice C
<95141404393>
Brainlist!
Show all steps and I will make you Brainlist.
Answer:
The height of the tree to the nearest foot is 75.
Step-by-step explanation:
The height is opposite the angle of elevation, and the 45 ft distance to the tree is adjacent to it.
tangent = opposite/adjacent
[tex]\frac{tan(59)}{1} = \frac{h}{45}[/tex]
h = tan(59) * 45
h ≈ 74.89
To the nearest foot, 74.89 is 75 ft.
a study of long-distance phone calls made from general electric corporate headquarters in fairfield, connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. the mean length of time per call was 4.0 minutes and the standard deviation was 0.40 minutes. a. what is the probability that calls last between 4.0 and 4.6 minutes? (round your z-value to 2 decimal places and final answer to 4 decimal places.)
The probability that calls last between 4.0 and 4.6 minutes is around 0.4332.
To unravel this issue, we got to standardize the values and utilize the standard typical dispersion table or calculator.
To begin with, we discover the z-scores for 4.0 and 4.6 minutes:
z1 = (4.0 - 4.0) / 0.40 =0
z2 = (4.6 - 4.0) / 0.40 = 1.5
Employing a standard ordinary conveyance table or calculator, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:
P(0 ≤ Z ≤ 1.5) = 0.4332
Subsequently, the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.
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10. Given the demand = −2 − 4 + 68 and the supply function = −2 + 2 +
12. Calculate
(a) the consumer’s surplus
(b) the producer’s surplus assuming pure competition
The given demand and supply of the function has ,
Equilibrium price is Rs. 14 and the equilibrium quantity is equal to 40 units.
The consumer surplus for the given function is Rs. 1,080.
The producer's surplus for the given function is Rs. 40.
Demand of the function 'Qd' = -2P + 68
Supply of the function 'Qs' = 2P + 12
The equilibrium price and quantity by setting the demand equal to the supply.
⇒ Qd = Qs
Setting Qd equal to Qs, we get,
⇒-2P + 68 = 2P + 12
Solving for P, we get,
⇒4P = 56
⇒P = 14
Substituting P back into either the demand or supply equation, we get,
⇒Qd = -2(14) + 68
= 40
⇒Qs = 2(14) + 12
= 40
So the equilibrium price is Rs. 14 and the equilibrium quantity is 40 units.
The consumer's surplus,
= The area below the demand curve and above the equilibrium price.
⇒ Consumer's surplus
= (1/2) x (Equilibrium quantity) x (Difference between maximum price and equilibrium price)
⇒ Consumer's surplus = (1/2) x (40) x (68 - 14)
⇒ Consumer's surplus = Rs. 1,080
The consumer's surplus is Rs. 1,080.
The producer's surplus
= The area above the supply curve and below the equilibrium price.
⇒ Producer's surplus
= (1/2) x (Equilibrium quantity) x (Difference between equilibrium price and minimum price)
⇒ Producer's surplus = (1/2) x (40) x (14 - 12)
⇒ Producer's surplus = Rs. 40
The producer's surplus is Rs. 40.
Therefore, for the given demand and supply function we have,
Equilibrium price and the equilibrium quantity is equal to Rs. 14 and 40units.
Consumer’s Surplus is Rs. 1,080.
Producer's surplus is Rs. 40.
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The above question is incomplete , the complete question is:
Given the demand = −2P + 68 and the supply function = 2P + 12. Calculate
The equilibrium price and the equilibrium quantity
(a) the consumer’s surplus
(b) the producer’s surplus assuming pure competition
a polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. the responses are shown in the table.factorpersonal friendstay in touchmutual friendsbusiness networkingothermen6002101054540women650224651546what is the contribution to the chi-square test statistic for men who selected business networking as the most important factor?responses0.50.5557.57.5303045
The donation to the chi-square test statistic for men who named business networking as the most important factor is 4.29.
To calculate the donation to the chi-square test statistic for men who named business networking as the most important factor, we need to calculate the anticipated frequency and the donation for that cell.
The anticipated frequency for a cell is calculated as
anticipated frequency) = ( row aggregate) *( column aggregate)/( grand aggregate)
The row aggregate for the" business networking" row is 105, the column aggregate for the men is 1000, and the grand aggregate is 2000. thus, the anticipated frequency for the cell corresponding to men who named business networking is
anticipated frequency) = ( 105) *( 1000)/( 2000) = 52.5
To calculate the donation, we use the formula
donation) = (( observed frequency- anticipated frequency) 2)( anticipated frequency)
For men who named business networking, the observed frequency is 45. Plugging in the values, we get
donations = (( 45-52.5) 2)(52.5) = 4.29
thus, the donation to the chi-square test statistic for men who named business networking as the most important factor is 4.29
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Two congruent squares and a parallelogram were used to form the figure shown. 3 m C I 2.8 m 6 m What is the area of the figure in square meters? A 25.8 m² 2 B 40.8 m² 34.8 m² D 28.8 m² 3 m
Answer: The table that could be the data the student collected is table D.
Step-by-step explanation: What is an electromagnet?
An electromagnet is described as a type of magnet in which the magnetic field is produced by an electric current and usually consist of wire wound into a coil.
If student builds an electromagnet using a variable power source and 40 turns of wire. We have it that the student changes the voltage and counts the number of paper clips that are picked up. The table described below could perfectly described the scenario.
This is Table D
Voltage (V)
3
6
9
12
Number of paper clips
9
18
27
36
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Plsss help 6 grade math!!
The values are x = 26°, ∠1 = 130° and ∠7 = 50°.
Given that the two parallel lines a and b we need to find the value of angle 1,
So,
∠1 = ∠8 [alternate exterior angle theorem]
∠8 + ∠7 = 180° [linear pair]
∠1 + ∠7 = 180°
Therefore,
5x + 2x-2 = 180°
7x = 182°
x = 26°
∠1 = 5(26)
∠1 = 130°
∠7 = 2(26)-2
∠7 = 50°
Hence the values are x = 26°, ∠1 = 130° and ∠7 = 50°.
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ASAP PLEASE HELP WILL GIVE BRAINLEST!!
Recall the equation for a circle with center (h, k) and radius . At what point in the first quadrant does the line with equation u = 0.5x + 4 intersect the circle with radius 3 and center (0, 4)
Answer:
(x-h)2 +(y-k)2=r2
Step-by-step explanation:
If the circle has a centre at (0, 5) and radius 3 the above equation becomes:
x2 +(y-5)2=32
We want to know the point where this circle intersects the line y=x+5 in the first quadrant. In order to do that, we substitute y=x+5 into the equation for the circle or:
x2 +(x+5-5)2=32
x2 +x2 =9
2x2 =9
x = 3 sqrt(2)/2 =2.1213
Substituting to this value into the second equation for y, we find:
y = 2.1213 + 5 = 7.1213
Consequently, the line intersects the circle at (2.1213, 7.1213)
Hope this helps :)
suppose we want to estimate the mean speed of trucks travelling on a particular highway. a simple random sample of 50 trucks visiting this highway is selected and their velocities are recorded. the sample provided a mean of 80 mph and a standard deviation of 5 mph. assume the population of truck speeds is approximately normal. an 90% confidence interval estimate of the population mean speed is:
The correct option is B, the 90% confidence interval estimate of the population mean speed is approximately 80 ± 1.1862 mph.
standard error = [tex]\frac{standard \:deviation}\sqrt{(sample \;size)}}[/tex]
Plugging in the values given, we have:
sample mean = 80 mph
standard deviation = 5 mph
sample size = 50
level of confidence = 90%
First, we need to find the critical value z from the standard normal distribution using a table or calculator. For a 90% confidence interval, the critical value is approximately 1.645.
Next, we can calculate the standard error:
standard error = [tex]5 / \sqrt{(50)[/tex]= 0.707
Finally, we can construct the confidence interval:
Confidence interval = 80 ± 1.645*(0.707)
Confidence interval = 80 ± 1.1862
Standard deviation is a measure of the variability or spread of a dataset from its mean or average. It is calculated by finding the square root of the variance, which is the average of the squared differences of each data point from the mean. A high standard deviation indicates that the data points are spread out over a wider range from the mean, while a low standard deviation indicates that the data points are closer to the mean.
Standard deviation is an important statistical tool in many fields, including finance, science, and engineering. It is commonly used in the analysis of data to describe the distribution of a set of values and to compare different sets of data. In finance, for example, standard deviation is used to measure the risk associated with an investment, while in science, it is used to quantify the variability of experimental data.
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Complete Question:-
Suppose we want to estimate the mean speed of trucks travelling on a particular highway. A simple random sample of 50 trucks visiting this highway is selected and their velocities are recorded. The sample provided a mean of 80 mph and a standard deviation of 5 mph. Assume the population of truck speeds is approximately normal. An 90% confidence interval estimate of the population mean speed is:
A. 80 ± 0.188
B. 80 ± 1.186
C. 80 ± 1.115
D. cannot be determined
please help asap it would mean alot
Use a two-dimensional representation of the prism, if necessary, to find the area of the entire surface of the prism.
The surface area of the prism is square units.
Answer:
2((5)(4) + (5)(3) + (4)(3)) = 2(20 + 15 + 12)
= 2(47) = 94
I really need help with this
Answer:
Step-by-step explanation:
thhh
Help!!!
a $52 item is marked up 10% and then markdown 10% what is the final price
Answer: $51.48
Step-by-step explanation:
If a $52 item is marked up by 10%, its new price will be:
$52 + 10% of $52 = $52 + $5.20 = $57.20
Then, if this new price is marked down by 10%, the final price will be:
$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48
Therefore, the final price of the item after the markup and markdown is $51.48.
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0.30. The students feel the proportion of blue beads is lower than 0.30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H 0: p = 0.30 and H alpha: p less-than 0.30, is 0.045. What is the correct conclusion given Alpha = 0.05?
Because the P-value is less than Alpha = 0.05, the student should reject H0.
Because the P-value is less than Alpha = 0.05, the student should fail to reject H0.
Because the P-value is greater than Alpha = 0.05, the student should reject H0.
Because the P-value is greater than Alpha = 0.05, the student should fail to reject H0.
answer a
The correct option is :
Because the P-value is less than Alpha = 0.05, the student should reject H0.
H0:p = 0.30,Ha:p < 0.30
We have the information:
It was stated that the proportion of blue beads in the container is 0.30. Here, the interpretation of this value is :
The null hypotheses is 0.30
and, Alternative hypotheses is : 0.045
Therefore, Assuming the true proportion of blue beads in the container is 0.30, there is a 4.5% probability that the sample proportion would be 0.20 by chance alone.
So, Because the P-value is less than Alpha = 0.05, the student should reject H0.
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The third term of a geometric sequence is 396. The sixth term of the sequence is 85,536. Calculate the common ratio. Round the ratio to the nearest tenth if necessary. Be sure to show all your work. (4 points)
Once you've found the common ratio, find the first term of the sequence. Again, show your work.
In a newspaper's survey of 454 people, 52. 6% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. Use the normal distribution as an approximation to the binomial distribution. Use the display and a 0. 10 significance level to complete parts (a) through (e)
The rounded values of test statistic ,p-value 0.94 and 0.348.
The null hypothesis is given by H₀, p = 0.5.
Final conclusion is we cannot claim that we should replace passwords with biometric security as fail to reject null hypothesis.
Total number of people = 454
Percent of people replace passwords with biometric security = 52.2%
The test statistic is z = 0.9386, the critical z-value at a 0.01 significance level is +2.5758, and the p-value is 0.3479.
The test statistic is z = 0.94 rounded to two decimal places.
The P-value is 0.348 rounded to three decimal places.
The null hypothesis is H₀, p = 0.5, where p denotes the population proportion of people .
Who say that we should replace passwords with biometric security.
Since the P-value 0.348 is greater than the significance level 0.01 we fail to reject the null hypothesis.
Based on the results of the test, do not have sufficient evidence to conclude that the proportion of people.
Who say that we should replace passwords with biometric security is different from 0.5.
In other words, we cannot reject the claim that half of us say that we should replace passwords with biometric security.
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The above question is incomplete, the complete question is:
In a newspaper's survey of 454 people, 52.2% said that we should replace passwords with biometric security, such as fingerprints. The accompanying Statdisk display results from a test of the claim that half of us say that we should replace passwords with biometric security. Use the normal distribution as an approximation to the binomial distribution.
a. Use the display and a 0.01 significance level to complete parts (a) through (e). Sample proportion: 0.5220264
Test Statistic, z: 0.9386
Critical z: +2.5758
P-value: 0.3479
b. What is the test statistic? Z= (Round to two decimal places as needed.) c. What is the P-value? P-value = (Round to three decimal places as needed.)
d. What is the null hypothesis, and what do you conclude about it? the null hypothesis. The null hypothesis is H₀, p , where p denotes the population proportion of people who say that we should replace passwords with biometric security. (Type an integer or a decimal. Do not round.)
e. What is the final conclusion? There is sufficient evidence to the claim that half of us say that we should replace passwords with biometric security.
If your p-value is .11, and the significance level is .05, what do you conclude?
If your p-value is 0.11 and the significance level is 0.05, you would conclude that there is insufficient evidence to reject the null hypothesis. In other words, you cannot establish a statistically significant relationship between the variables you are studying.
To explain this further, the p-value (0.11) represents the probability of observing the data, assuming that the null hypothesis is true. A smaller p-value indicates stronger evidence against the null hypothesis. The significance level (0.05) serves as a threshold to determine whether the p-value is small enough to reject the null hypothesis.
If the p-value is less than or equal to the significance level, you would reject the null hypothesis and conclude that there is a statistically significant relationship between the variables. However, in this case, the p-value (0.11) is greater than the significance level (0.05), which means that the probability of observing the data is not low enough to reject the null hypothesis.
Therefore, you cannot establish a statistically significant relationship between the variables, and the observed results could be due to chance or random variation.
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Find the slope of a line perpendicular to the line whose equation is x + 6 y = − 24. Fully simplify your answer.
Answer:
m = y2 - y1 / x2 - x1
Step-by-step explanation:
a study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. the results are shown in the table. based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? p(improvement | drug)
The probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%.
Based on the information given in the table, the probability that a patient shows improvement if it is known that the patient was given the drug can be calculated as:
p(improvement | drug) = number of patients who improved and were given the drug / total number of patients who were given the drug
= 56 / (56 + 24)
= 0.7
Therefore, the probability that a patient shows improvement if it is known that the patient was given the drug is 0.7 or 70%. This suggests that the drug has a relatively high chance of leading to improvement in symptoms for patients with the particular condition being studied.
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Complete Question:
a study has been done to determine whether or not a certain drug leads to improvement in symptoms for patients with a particular condition. the results are shown in the table. based on this information, what is the probability that a patient shows improvement if it is known that the patient was given the drug? p(improvement | drug)
HELP ASAP 20 POINTS PLEASE
Answer:
see below
Step-by-step explanation:
Regular decagon: 1,440
Regular octagon: 1,080
regular 13-sided polygon: 1,980
regular 7-sided polygon: 900
Hope this helps! :)
Please mark brainliest, I'm trying to get to Ace level
What is the probability that a man and a woman getting married both have at least a bachelor's degree? note any assumptions you must make to answer this question
To determine the probability that a man and woman getting married both have at least a bachelor's degree, we need to make certain assumptions.
Firstly, we must assume that the probability of a man having at least a bachelor's degree is independent of the probability of a woman having at least a bachelor's degree. Additionally, we must assume that the population of men and women with at least a bachelor's degree is representative of the population of all married couples.
Assuming these conditions are met, we can estimate the probability of a man having at least a bachelor's degree as well as the probability of a woman having at least a bachelor's degree using data from the relevant population. We can then calculate the joint probability of both events occurring simultaneously by multiplying the probabilities of each event. Without data, it is difficult to provide an exact probability. However, according to the U.S. Census Bureau, as of 2019, approximately 35% of the U.S. population aged 25 and older have at least a bachelor's degree. Therefore, assuming that the probabilities are independent, the probability of a man having at least a bachelor's degree is approximately 0.35, and the probability of a woman having at least a bachelor's degree is also approximately 0.35.
Multiplying these probabilities together, we get an estimated probability of 0.1225 or 12.25% chance that a man and woman getting married both have at least a bachelor's degree. However, it's important to remember that this is only an estimate and may not hold true for all populations or regions.
To determine the probability that a man and a woman getting married both have at least a bachelor's degree, we need to make some assumptions and use the concept of probability.
Assumptions:
1. The probability of a man having a bachelor's degree is independent of the probability of a woman having a bachelor's degree.
2. We know the probabilities of a man and a woman having a bachelor's degree in the given population.
Let P(M) be the probability of a man having a bachelor's degree, and P(W) be the probability of a woman having a bachelor's degree. To find the probability of both the man and the woman having a bachelor's degree, we simply multiply these two probabilities:
P(both have bachelor's degree) = P(M) * P(W)
So, the probability that a man and a woman getting married both have at least a bachelor's degree depends on the individual probabilities of a man and a woman having a bachelor's degree in the population under consideration.
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Sadie and Penelope are on their school's swim team. They each swam 5 laps and recorded their lap times in seconds.
Who has the greater mean, and by how much? Show or explain how you know.
Answer:
Step-by-step explanation:
First of all , we know that mean simply means average . The formula for calculating average / mean is :
Sum of all entities ÷ by number of entities.
So , lets start with Sadie.
41+ 44 +46+ 46 +48=225
225 ÷5 =53
Therefore the mean of Sadie's mean was 53.
Now for Penelope.
We will use the same formula.
44+44+47+48+50=233
233÷5=46.6
Therefore Penelope's mean was 46.6.
We can see that Sophie had the highest mean .To find the difference just subtract the means.
About 650,000 people live in a circular region with a 6-mile radius find the population density In people per square mile
The population density of the region is 5,750.2 people per square mile.
How to find the population density?To find the population density, we need to take the quotient between the total population and the area.
Remember that the area of a circle of radius R is:
A = pi*R²
Where pi = 3.14
Here R = 6mi, then:
A = 3.14*(6mi)² = 113.04 mi²
Then the population density is:
D = 650,000/113.04 mi² = 5,750.2 people per square mile.
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In a bag there are blue discs, green discs and white discs.
There are eight times as many blue discs as green discs.
number of blue discs : number of white discs = 6:5
One disc is selected at random.
Work out the probability that the disc is either blue or white.
The probability that the disc is either blue or white is 11/59
Working out the probability that the disc is either blue or white.Given that
number of blue discs : number of white discs = 6:5
number of blue discs : number of green discs = 1:8
So, we have
Blue : White = 6 : 5
Blue : Green = 1 : 8
This can be expressed as
Blue : Green = 6 : 48
So, we have
Blue : White : Green = 6 : 5 : 48
So, we have
Blue or White : Green = 11 : 48
So, the probability is
P = 11/(48 + 11)
Evaluate
P = 11/59
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if a retailer would like to estimate the proportion of their customers who bought an item after viewing their website on a certain day with a 90% confidence level and 5% margin of error, how many customers do they have to monitor? previous information has shown that 58% of users do this.
If customers bought an item after viewing their website on "certain-day" with 90% "confidence-level" and 5% "margin-of-error", then the number of customers they have to monitor is 264.
To estimate the proportion of customers who bought an item after viewing the retailer's website, the retailer needs to conduct a sample survey.
To determine the "sample-size" needed for the survey, we use the formula:
⇒ n = [Z² × p × (1 - p)]/E²,
where : n is = sample-size of customer,
Z is = z-score associated with confidence-level (90% confidence level corresponds to a z-score of 1.645),
p is = estimated proportion of customers who bought an item (in this case it is 58% = 0.58),
E is = margin-of-error (5% = 0.05),
Substituting the values,
We get,
⇒ n = [1.645² × 0.58 × (1 - 0.58)]/0.05²,
⇒ n = 263.67 ≈ 264,
Therefore, They have to monitor 264 customers.
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PLEASE HELP ME ANSWER THESE ASAP <3
Answer:
Step-by-step explanation:
Hi!!! Remember (SOHCAHTOA)
Sin= opposite/hypotenuse
Cosine= Adjacent/ hypotenuse
Tan= opposite/adjacent
SO, use the letter of the angle- and match this phrase.
answer 11= 5/12
answer 12= 7/25
answer 13= 4/5
answer 14= 5/12
If a body of mass m is placed at the top of an inclined rough plane makes with the horizontal an angle of measure 0 and the coefficient of kinetic friction between the body and the plane is U. If the body slides under action of its weight only , then the acceleration =
(a) g sin e
(c) g ( sin - cos 0)
(b) g cos e
(d) g (sin - cos 0)
If the body slides under action of its weight only , then the acceleration is (a) g - U.
Assuming that the question is asking for the acceleration of the body down the inclined plane:
The force of gravity acting on the body is given by F = mg, where m is the mass of the body and g is the acceleration due to gravity (9.8 m/s^2).
The force of friction acting on the body is given by Ff = Umg cos(0), where U is the coefficient of kinetic friction and cos(0) = 1 (since the angle between the plane and the horizontal is 0 degrees).
Since the body is sliding down the plane, the force of gravity is greater than the force of friction, and there is a net force acting on the body in the direction of motion. Using Newton's second law, F = ma, we can set up an equation relating the net force to the acceleration:
mg - Umg cos(0) = ma
Simplifying and solving for a, we get:
a = g - Ug cos(0)
Substituting cos(0) = 1, we get:
a = g - Ug
Therefore, the acceleration of the body down the inclined plane is (a) g - U.
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