how would you label the stage of group socialization in which all members (new and existing) are in alignment and fully integrated?
Answers
The stage in which all members of a group are fully integrated and aligned is called the performing stage. At this stage, the group works efficiently and effectively to achieve its goals.
Group socialization is the process by which individuals become members of a group, learn the norms and values of the group, and develop relationships with other members. It is a dynamic process that occurs over time, and typically involves several stages of development. The four stages of group socialization are forming, storming, norming, and performing. The forming stage is the initial stage, in which members are getting to know each other and establishing relationships. During this stage, members are often polite and cautious, and may be uncertain about their roles and responsibilities within the group.
The storming stage is characterized by conflict and tension within the group. Members may have different ideas about how to accomplish the group's goals, and may struggle to establish their positions and assert their opinions. This stage can be challenging, but it is an important part of the group socialization process, as it allows members to express their concerns and work through their differences.
The norming stage is when the group begins to establish a sense of cohesion and agreement. Members start to develop a shared understanding of the group's goals and values, and may establish formal or informal roles within the group. This stage is important for building trust and promoting collaboration.
Finally, the performing stage is when the group is fully integrated and able to work together efficiently and effectively to achieve its goals. Members understand their roles and responsibilities, and are able to communicate and collaborate effectively. This stage is characterized by a sense of cohesion and mutual support, and can be very rewarding for members who have worked hard to develop relationships and establish trust within the group.
It's worth noting that not all groups will progress through these stages in a linear fashion, and some groups may skip or repeat stages depending on their specific circumstances. Nonetheless, understanding these stages can be helpful for group members and leaders as they work to develop effective teams and achieve their goals.
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Related Questions
How many planes pass through three or more vertices of a regular octahedron?
Answers
Answer:
The total number of planes = 23 planes
Step-by-step explanation:
The number of planes are give as follows;
The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20
The number of distinct planes that has 4 points in the octahedron = 3
Therefore, the total number of planes are 20 + 3 = 23 planes.
Evaluate the expression when c=4 and d=18
d-28/c
Answers
Answer:
11
Step-by-step explanation:
Plugin the value of c = 4 & d = 18 in the expression.
\(d-\dfrac{28}{c}=18-\dfrac{28}{4}\\\\\\=18 - 7\\\\= 11\)
find f(t) for the function f(s)= 5s³+20s²-49x-108/s²+7s+10. assume that k(t)=δ′(t) .
Answers
The function f(t) is given by (15t² + 40t) / (2t + 7) when k(t) is replaced by the derivative of the Dirac delta function, denoted as δ'(t).
the derivative of f(s) is taken by differentiating each term separately. The derivative of 5s³ is 15s², the derivative of 20s² is 40s, and the derivative of -49x is 0 since x is not involved.
The derivative of -108 is also 0.
Moving on to the denominator
the derivative of s² is 2s, the derivative of 7s is 7
and the derivative of 10 is 0. Therefore, the derivative of f(s) with respect to s is (15s² + 40s) / (2s + 7).
we substitute k(t) with δ'(t), which is the derivative of the Dirac delta function δ(t).
The Dirac delta function is defined as 0 for all values of t except at t = 0, where it is infinite.
Its derivative, δ'(t), is 0 for all values of t except at t = 0, where it is not defined.
Therefore, the resulting expression for f(t) is (15t² + 40t) / (2t + 7). This is the final answer for f(t) in terms of t, obtained by differentiating f(s) and substituting k(t) with δ'(t)
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If we have an effect, would error variance go away?
Answers
No, the presence of an effect does not necessarily imply that error variance will go away.
Why could not error variance go away?The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.
Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.
It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.
One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.
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John can ride his skateboard 100 feet in 4.6 seconds. How fast is this in miles per
hour? Show clearly the path you are taking to convert feet/sec to miles/hour.
(6 points)
Answers
Answer:
about .24 mile per hour
1 mile is 5280 foot
Step-by-step explanation:
How does light travel so you can see in the dark
Answers
Answer:
Step-by-step explanation:
Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.
name the four U.S cultiral regions
Answers
Answer:
(Northeast, South, Midwest, and West) hope is the right answer
Answer: The Northeast, Southwest, West, Southeast, and Midwest
Step-by-step explanation:
what is an equation of the line that passes through the points (-4,-6) and (4,4)
Answers
Equation of a line
The slope-intercept form of the line can be written as follows:
\(y=mx+b\)Where m is the slope and b is the y-intercept
We have two points through which the line passes. If we substitute them into the equation, we can find the values of m and b.
Using the point (-4,-6):
\(\begin{gathered} -6=m(-4)+b \\ \text{Operate:} \\ -6=-4m+b \end{gathered}\)Using the point (4,4):
\(\begin{gathered} 4=m(4)+b \\ \text{Operate:} \\ 4=4m+b \end{gathered}\)Subtract the second equation from the first equation:
\(\begin{gathered} -6-4=-4m-4m+b-b \\ \text{Simplify:} \\ -10=-8m \end{gathered}\)Solve for m:
\(m=-\frac{10}{-8}=\frac{5}{4}\)Substituting into the second equation:
\(\begin{gathered} 4=4\cdot\frac{5}{4}+b \\ \text{Operate:} \\ 4=5+b \\ \text{Solve:} \\ b=-1 \end{gathered}\)Finally, the equation of the required line is:
\(y=\frac{5}{4}x-1\)Simplify the expression:
7(–3 + r) =
Answers
You would just distribute the 7
Joey bought a dozen oranges for $3.50 and several bananas for $0.25 each at the grocery store. Joey spent a total of $5.75 on the fruit. Which number line best represents the number of bananas Joey purchased?
Answers
Answer:
where's the number line?
Answer:
B.
Step-by-step explanation:
From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees.
How far is the ship from the base of the lighthouse?
I know I did it right by the key says its wrong. Please provide steps
Answers
the ship is 472 m from the lighthouse
Step-by-step explanation:
from the question, we can know ∠OAS = 90°-23° =67° and AO = 200m
OS = A0 • tan 67°
= 200 m • 236°
= 472 m
How many ways can five members of the
100-member United States Senate be
chosen to be put on a committee?
Answers
Answer:
75287520
Step-by-step explanation:
Combination formula: \(\frac{n!}{r!(n-r)!}\)
n = the amount of members of the US senate (100)
r = number of members chosen to be committee (5)
= \(\frac{100!}{5!(100-5)!}\)
= \(\frac{100!}{5! * 95!}\)
= 75287520
problem 1 (100 points) fig. 1 depicts a sample power system. suppose the three units are always running, with the following characteristics: unit 1: pmin
Answers
The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.
In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.
Unit 1:
Pmin = 200 MW
Pmax = 500 MW
Ci = $50/MWh
Unit 2:
Pmin = 150 MW
Pmax = 400 MW
Ci = $40/MWh
Unit 3:
Pmin = 100 MW
Pmax = 300 MW
Ci = $30/MWh
To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.
Suppose the load demand is D MW. We allocate the load demand to the units as follows:
Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:
Cost1 = Ci * P1, where P1 is the power output of Unit 1.
Step 2: If there is still remaining load demand, allocate it to Unit 2:
Cost2 = Ci * P2, where P2 is the power output of Unit 2.
Step 3: If there is still remaining load demand, allocate it to Unit 3:
Cost3 = Ci * P3, where P3 is the power output of Unit 3.
Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:
Cost_total = Cost1 + Cost2 + Cost3
To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.
In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.
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Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale
Answers
Both the tangents are equal to each other. Then the length of BC will be 5.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A tangent to a circle is a line that passes through the centre of the circle precisely once.
As illustrated in the diagram, there are precisely two tangents to a circle that may be drawn from a location just outside of the circle.
Then both the tangents are equal to each other.
The length of BC will be 5.
The diagram is shown below.
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the time spent waiting in the line is approximately normally distributed. the mean waiting time is 5 minutes and the variance of the waiting time is 1. find the probability that a person will wait for more than 6 minutes. round your answer to four decimal places.
Answers
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
z = (raw score - mean) / standard deviation
So,
We can write,
Mean of 6 minutes and variance = 1 minutes, hence:
Standard deviation = √variance = √1 = 1 minutes
For > 6 minutes:
z = (6 - 5)/2 = 1/2=0.5
P(z > 0.5) = 1 - P(z < 0.5)
P(z > 0.5) = 1 - 0.6915
P(z > 0.5) = 0.3085
Therefore,
There is a 30.85% chance that someone will have to wait longer than 6 minutes.
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Mark bought 10 CD's. A week later half of his CDs were lost during a move. There are now only 22 CDs left. With how many did he start?
Answers
Answer: He started with 54 CD.
Step-by-step explanation:
Let x = number of CDs he started with
Total amount of CDs before the fire = x + 10
The fire destroys half of the total amount,
So divide by 2:
Therefore, (x + 10)/2
x- (x+10)/2 =22
x/2-5 = 22
x/2 = 22+5
x = 27*2
x=54 which is the number of CD's he started with.
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Mark began with 34 CDs (x = 34). Mark initially bought 10 CDs. Half of his CDs were lost during a move after a week. Because half of 10 equals 5, he lost 5 CDs. If there are currently 22 CDs remaining, we can determine the original number of CDs by adding the lost CDs to the remaining CDs.
Assume Mark started with "x" number of CDs.
Mark purchased 10 CDs, so the total number of CDs purchased is x + 10.
Half of his CDs were lost during the move a week later. This means he misplaced (1/2) * (x + 10) CDs.
According to the problem, the remaining number of CDs after the loss is (x + 10) - (1/2) * (x + 10), which equals 22.
Using the expanded equation, we get x + 10 - (1/2)x - 5 = 22.
By combining similar terms, we get x - (1/2)x + 5 = 22.
By further simplifying, we get (1/2)x + 5 = 22.
We get (1/2)x = 17 by subtracting 5 from both sides of the equation.
To find x, multiply both sides of the equation by 2, yielding x = 34.
As a result, Mark initially began with 34 CDs.
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What are the values of the mean and the standard deviation for the standard normal model?.
Answers
Answer:
µ = 0σ = 1Step-by-step explanation:
You want to know values of the mean and the standard deviation for the standard normal model.
Standard normal modelThe "normal" probability distribution has a symmetrical "bell"-shaped curve. What makes it "standard" is its mean (µ) of zero, and standard deviation (σ) of one.
µ = 0σ = 1Work out the size of angle x.
Answers
Answer:
x = 46°
Step-by-step explanation:
Angles on a straight line sum to 180°.
Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:
⇒ 180° - 130° = 50°
The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:
⇒ 180° - 96° = 84°
The interior angles of a triangle sum to 180°. Therefore:
⇒ 50° + 84° + x = 180°
⇒ 134° + x = 180°
⇒ 134° + x - 134° = 180° - 134°
⇒ x = 46°
Therefore, the size of angle x is 46°.
Please help me on this it’s due today!!!!! Please help me!!!!!
Answers
Answer:
y-intercept is (0,4)
and the slope is 0
Step-by-step explanation:
describe the apparent relationship between the two variables under consideration. choose the correct choice below. a. test score remains constant as the number of study hours increases. b. test score tends to decrease as the number of study hours increases. c. test score tends to increase as the number of study hours increases. d. there is no apparent relationship between study hours and test score.
Answers
Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.
Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.
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please show work, thanks
Answers
Answer:
4) 1400 \(in^3\)
5) 304\(\Pi\) or 954.56\(yd^3\)
6) 315 \(ft^2\)
Step-by-step explanation:
\(4)\)
\(V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400\)
\(5)\)
\(A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi\)
\(V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56\)
\(6)\)
\(h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}\)
\(A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5\)
\(A_2 = 2(14 * 8) = 2*112 = 224\)
\(A = A_1 + A_2 = 91 + 224 = 315\)
Tim Worker wants to compare the cost of on-line banking. Tim writes an average of 35 checks a month for his donations, utilities, and other expenses.
Bank- -Basic Monthly Fee- -Bill Paying Monthly Fee- - -Limit- -Cost per bill beyond limit
A. $5. 95_____________free
B. $9. 95____________$5. 95/mo. __________20__________$1
C. $4. 50____________$4. 50/mo.
D. $5. 95____________free_______________20_________$0. 50
E. $5. 00_______1 month free then $8. 00/mo. _10__________$0. 15
Model for Bank B: (Screenshot)
Using this model, complete the tables. If the bank has no limit or the number of checks written is less than the limit, enter 0 in the "Checks Written - Limit" column.
Bank____Basic fee * 12___Bill Paying Fee * 12-_Checks Written - Limit
A. $______________$ ___________|__________________
C. $______________$ ___________|__________________
D. $______________$ ___________|__________________
E. $______________$ ___________|__________________
Bank_Column 4 * Cost per bill * 12_____Annual Total
A. $_____________|----|. $ ___________
C. $_____________|----|. $ ___________
D. $_____________|----|. $ ___________
E. $_____________|----|. $ ___________
Answers
Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.
To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.
The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.
Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.
The total annual cost for Bank B is $174.40, calculated as follows:
Basic fee = $9.95 * 12 = $119.40
Bill paying fee = $5.95 * 12 = $71.40
Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180
Total cost = $119.40 + $71.40 + $180 = $371.80
However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.
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In a recent school newspaper survey, 3,000 randomly selected teenagers were asked to cite their primary transportation method to school. Fifteen of 20 teenagers said they use their own car to get to school. A 90% confidence interval to estimate the true proportion of teenagers who drive their own car to school is found to be (0.5907, 0.9093). Which of the following is a correct interpretation of the confidence level?
Ninety percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who drive their own car to school.
Ninety percent of all samples of this size would yield a confidence interval of (0.5907, 0.9093).
There is a 90% chance that the true proportion of teenagers who drive their own car to school will be (0.5907, 0.9093).
Ninety percent of all the samples of size 3,000 lie in the confidence interval (0.5907, 0.9093).
Answers
The correct interpretation of the 90% confidence interval is given as follows:
There is a 90% chance that the true proportion of teenagers who drive their own car to school will be (0.5907, 0.9093).
What is the interpretation of a x% confidence interval?It means that it is x% likely that the true population parameter(mean/proportion/standard deviation) is between a and b, which are the bounds of the confidence interval.
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What is the volume of the rectangular prism?
Answers
Answer:
94.5 yd^3
Step-by-step explanation:
The volume of a rectangular prism is given by the formula:
A = lwh
Where:
l = length
w = width
h = height
Volume is how much space a 3d figure occupies.
USE THE FORMULA WITH THE GIVEN DIMENSIONS:
A = (7)(4.5)(3)
= (31.5)(3)
= 94.5
Volume is measured in cubic yards, in this case.
Therefore your answer is 94.5 yd^3
I hope I helped!
Answer:
Step-by-step explanation:
length = 7 yd
Width = 4.5 yd
height = 3 yd
Volume of rectangular prism = length * width * height
= 7 * 4.5 * 3 = 94.5 yd³
Hi what is p-12=6 do you know?
Answers
To solve the equation p-12=6, you need to isolate the variable p on one side of the equation. Here are the steps to solve the equation:p - 12 = 6Add 12 to both sides of the equation to cancel out the -12 from the left side of the equation:p - 12 + 12 = 6 + 12Simplify the left side of the equation by cancelling out -12 and +12:p = 18The solution to the equation is p = 18. Therefore, p-12=6 when p is equal to 18.
Hope you understood it...
Answer:
p=18
Step-by-step explanation:
The only step you have to take to solve this problem is to move all the non-variables to one side, and you can do this by adding 12. This gets you the equation p-12+12=6+12 which when simplified becomes p=18.
Please help me I’m confused
Answers
A midpoint is a point that divides a given line into two equal halves.The answers to the questions are:
1. BC = 89
b. AB = 45
c. AC = 44
2. The coordinate of I is 2.5
3. J = 19
4. MQ = 32
5. NO = 13
6. NO = 23
b. MN = 25
A line segment can be divided into different fractions. Where the point that divides the line segment into equal parts is the midpoint. however, number line is a system that shows the location or positions of all directed numbers.
The given questions can be solved as follows:
1. Given that point A is between BC and AB = 4x -3, BC = 7x + 5, AC = 5x - 16
But,
BC = AB + AC
7x + 5 = (4x -3) + (5x - 16)
= 9x - 19
7x + 5 = 9x - 19
19 + 5 = 9x - 7x
24 = 2x
x = \(\frac{24}{2}\)
x = 12
So that;
a. BC = 7x + 5
= 7(12) + 5
BC = 89
The value of BC is 89.
b. AB = 4x -3
= 4(12) - 3
AB = 45
Thus AB has a value of 45.
c. AC = 5x - 16
= 5(12) -16
AC = 44
The value of AC is 44.
2. Given that H is the mid point of GI, and G = 8, I = -3.
Then;
I = 2.5
The coordinate of I is 2.5
3. A midpoint is a point that divides a line segment in to two equal halves. Given that J is the midpoint of KL. KL = 38
J = \(\frac{KL}{2}\)
= \(\frac{38}{2}\)
J = 19
The value of the midpoint J is 19.
4. It can be deduced from the conditions given in the question that:
MQ = MN + NO + OP + PQ
= 8 + 8 + 16 (NB: OP + PQ = 16)
MQ = 32
Thus, value of MQ is 32.
5. Since P is the mid point of NQ, and OP = 11, OQ = 35
Then;
PQ = OQ - OP
= 35 - 11
PQ = 24
Since, PQ = NP =24
Then;
NO = NP - OP
= 24 - 11
NO = 13
NO has a length of 13.
6. NO = 2y + 11, OP = 3y - 2, NP = 6y + 3 and MP = 64.
But,
NO + OP = NP
(2y + 11) + (3y - 2) = 6y + 3
5y + 9 = 6y + 3
9 - 3 = 6y - 5y
y = 6
So that;
a. NO = 2y + 11
= 2(6) + 11
NO = 23
Here, the value of NO is 23.
b. MN = MP - NP
But,
NP = 6y + 3
= 6(6) + 3
NP = 39
Then;
MN = 64 - 39
MN = 25
So that MN has a value of 25.
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14. A linear function is negative for x <-6 and has a y-intercept of 1. If you correctly sketch a graph of the function, at
what point will the graph intersect the x--axis?
a. (0,6)
b. (6,0)
c. (-6,0)
d. (0,-6)
Answers
1. what is the height of the cone? Explain how you found the height.
2. Now that you have the height of the cone, how can you solve for the slant height, s?
3. Now that you have the height of the cone, how can you solve for the slant height, s?
Answers
1. The height of the cone is equal to
2. You can solve for the slant height, s by applying Pythagorean's theorem.
3. To get from the base of the cone to the top of the hill, an ant has to crawl 29 mm.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
8792 = 1/3 × 3.14 × 20² × h
26,376 = 3.14 × 400 × h
Height, h = 26,376/1,256
Height, h = 21 mm.
Question 2.
In order to solve for the slant height, s, we would have to apply Pythagorean's theorem since the height of the cone has been calculated above.
Question 3.
By applying Pythagorean's theorem, we have the following:
r² + h² = s²
20² + 21² = s²
400 + 441 = s²
s² = 841
Slant height, s = √841
Slant height, s = 29 mm.
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Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid
off. Which equation represents the relationship between m, the number of
monthly payments Frankie has made, and t, the total amount
that Frankie has paid the store?
Answers
Answer:
t = 30m+50
Step-by-step explanation:
Answer:
T = 30m + 50
Step-by-step explanation:
lmno is a parallelogram. if nm = x + 27 and ol = 3x + 9 find the value of x and then find nm and ol.
Answers
The length of NM and OL in the parallelogram LMNO are both 36 units.
How we find the value of x?Since LMNO is a parallelogram, we know that opposite sides are equal in length. Therefore, we can set NM and OL equal to each other:
NM = OL
We also know that NM = x + 27 and OL = 3x + 9, so we can substitute these expressions into the equation:
x + 27 = 3x + 9
Solving for x:
2x = 18
x = 9
Now that we know x, we can substitute it back into the expressions for NM and OL:
NM = x + 27 = 9 + 27 = 36
OL = 3x + 9 = 3(9) + 9 = 36
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