Assuming the radius is 5.4m. The exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.
Length of an arcArc length of the circle=(theta)/360×pi×diameter
Diameter=2×radius
Where:
radius=5.4
Diameter=2×5.4=10.8
theta=60°
Arc length:
Arc length=60°/360°×π×10.8
Arc length=5.6548667765 or 1.8π
Inconclusion the exact length of an arc formed by a central angle measuring 60° is 1.8π or 5.65.
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Answer:
1.8π
Explanation:
central angle/360=x/2πr
60/360=x/2(5.4)(π)
36x/36=6x2x5.4xπ/36
x=64.8π/36
x=1.8π
Each month, elizabeth budgets $760 for fixed expenses, $620 for living expenses, and $80 for annual expenses. her annual net income is $32,580. which sentence best describes her monthly budget?
Answer:
760
Explanation:
it'd the budget that's what it says
Based on paragraph 3 ("in a different. . . Augustine"), what can most reasonably be inferred about augustine?
The purpose of making an inference is so that one is able to elicit a conclusion that depends on facts provided based on reasoning.
What is an Inference?Inferences are helpful because they help to uncover hidden messages in a text or literature. Another way to refer to inference is "to read between the lines"
When a person arrives at a conclusion by adding one or more logical facts together, they are said to have made an inference.
Do note that the text (paragraph) referred to is unavailable hence the general answer.
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Financial algebra: advanced algebra with financial applications workbook answers
An example of Financial algebra is find the 20% increase to the original price of 1.2.
What is Financial algebra?Financial Algebra is known to be a type of semester course that is often made for the upperclassmen. It is one that has been set up to create a good and strong foundation in logical thinking and problem solving in terms of finance and money.
= 20% of the price = 1.2
The cost of the selling price of share = 1.247.65
Therefor it will be= 57.18
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According to your research, you need to budget for insurance and gasoline if you choose to buy or lease the new car. If you choose to buy the used car, you need to budget for insurance and gas
Based on your research, you need to budget $275 for insurance and gasoline if you choose to buy or lease the new car and If you choose to buy the used car, you need to budget $225 for insurance and gas.
What is budget?A budget is a term that connote the estimation that is done for revenue and expenses in a a specified future timeframe.
It is known to be often used by governments, businesses, and individuals and research has shown that a person needs to budget $275 for insurance to buy or lease the new car.
See full question below.
According to your research, you need to budget _____
for insurance and gasoline if you choose to
buy or lease the new car.
If you choose to buy the used car, you need to budget _____
for insurance and gas.
$225 $200
$250 $225
$275 $250
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Answer:
$275
$225
Explanation:
The surface tension of water in air is approximately 0.00518 lbf/ft. if the atmospheric pressure is 14.7psia, what is the pressure inside a droplet 0.01" in diameter?
Based on the calculations, the pressure inside this droplet is equal to 2,909.35 kPa.
Given the following data:
Surface tension = 0.00518 lbf/ft to N/m = 0.00702 N/m.Atmospheric pressure = 14.7psia to kPa = 101.35 kPa.Diameter = 0.01 mm to m = 0.00001 m.Radius, r = [tex]\frac{diamter}{2} =\frac{0.0001}{2}[/tex] = 0.000005 m.
How to determine the pressure inside a droplet.For a droplet with only one surface, its pressure is given by this formula:
[tex]P_1-P_2=\frac{2 \tau}{r} \\\\P_1=\frac{2 \tau}{r}+P_2[/tex]
Substituting the given parameters into the formula, we have;
[tex]P_1=\frac{2 \times 0.00702}{0.000005} + 101.35\\\\P_1=2808+ 101.35[/tex]
Inside pressure = 2,909.35 kPa.
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A 10-newton object moves to the left at 1 m/s. Its kinetic energy is approximately ____ joules
Answer:
0.5
I hope this helps you
:)
The kinetic energy will be "0.5 J". To understand the calculation, check below.
Kinetic EnergyAccording to the question,
Mass or object, m = 10 N or,
= 1 kg
Speed, v = 1 m/s
We know the formula,
→ Kinetic energy, K.E = [tex]\frac{1}{2}[/tex] mv²
By substituting the values, we get
= [tex]\frac{1}{2}[/tex] × 1 × (1)²
= [tex]\frac{1}{2}[/tex] × 1 × 1
= [tex]\frac{1}{2}[/tex]
= 0.5 J
Thus the above answer is correct.
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Read this passage from when birds get flu and cows go mad! by john diconsiglio. hughes was assigned to find infected cow parts at meat processing plants in washington. he remembers the sad look on some owners’ faces when he flashed his badge. if there was a chance that any of their meat might have mad cow, they’d have to throw it all away. "the business they built from scratch was destroyed—through no fault of their own. and there was nothing they could do about it," hughes says. the tone in this passage most suggests that hughes is caring. dedicated. tense. worried.
The tone in the given passage about hughes infecting cow parts most suggests that hughes is; Caring
What is the Tone of the Passage?From the given passage, we see that hughes was assigned to find infected cow parts at meat processing plant.
Now, he noticed the sad faces of the cow owners and was deeply concerned by their sadness about how any of their meat might have mad cow.
In conclusion, we can say he was caring because of his deep concern about the hapinness of the cow owners.
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Answer:
A
Explanation:
caring
Select the transition that results in the greatest energy change when an excited electron relaxes to a lower state in a hydrogen atom.
n=5 to n=4 is the transition that results in the greatest energy change relaxes to a lower state.
What is Transition state?This is defined as a particular configuration along the reaction coordinate.
n=5 to n=4 is involved in a chemical reaction as the electrons can be shared.
This is the reason why it has the greatest energy change when an excited electron relaxes to a lower state in a hydrogen atom.
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pasta with garlicky spinach and buttered pistachios
graphically producer surplus is the area above the curve and below the equilibrium price from to the quantity traded.
Graphically, consumer surplus is the area below the demand curve and above the equilibrium price, from zero to the quantity traded.
What is producer surplus?This is known to be the difference that is said to exist between the price producers often gets from the sales of good or a service and the lowest price they are said to be willing and able to take.
Note that in graphical depiction of consumer surplus, it is found to be the area that is below the demand curve and above the equilibrium price, that is from zero to the quantity traded.
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If 45 ml of water are added to 250 ml of a 0. 75 m k2so4 solution, what will the molarity of the diluted solution be?
Answer:
0.64M
Explanation:
Based on what you have learned, write a short paragraph to serve as the introduction to gandhi’s obituary
Answer:
We are here today to remember the life of Mohandas Gandhi, leader of the Indian independence movement. An assassin cut short Gandhi's life, but we should best remember him not for his death but for the way he chose to live.
Explanation:
Edge
18.1 angles of rotation and radian measure answers
An example of angles of rotation and radian measure question is convert the measure 20° to radian and then from radian to degree.
How does Radians and degrees both measure angles?Radians and degrees are known to often measure angles. Note that one can convert from radian to degree and from degree to radian.
Note that one rotation that is around a unit circle is said to equals 360 degrees or 2π radians.
To solve for the option above 20°
One can say in Radian, it will be π/180
In degree , it will be π/9
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Which fact does not support the claim the social and economic differences between the north and the south caused the american civil war?
Answer: seven states seceded from the Union.
Explanation:
Go math grade 5 chapter 10 mid chapter checkpoint answer key
An example of go math grade 5 chapter 10 mid chapter checkpoint Question is 90 in. = ______ ft ______ in. The answer is 7 ft 6 in.
What is Go math grade 5 about?This is a math practice book that has been made specifically for grade 5. It aim to tech the students various topics in math that will broaden their level of understanding.
The question of 90 in. = ______ ft ______ in.
To solve for it, one has to change the larger unit into the smaller unit.
Thus we then Convert inches to feet.
1 feet is made up of = 12 inches
90 inches = 84 inches + 6 inches
Then 84/12 = 7 feet
Therefore, 90 in. = 7 ft 6 in.
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Antigens are foreign proteins that invade the systems of organisms. Vaccines function by stimulating an organism’s immune system to develop antibodies against a particular antigen. Developing a vaccine involves producing an antigen that can be introduced into the organism being vaccinated and which will trigger an immune response without causing the disease associated with the antigen. Certain strains of bacteria can be used to produce antigens used in vaccines
The process described above is about how vaccines are designed using antigens.
What are Vaccines?Vaccines may be defined as substances that are used to enhance or catalyze the creation of antibodies in the human body.
When injected in the host, Vaccines help to provide immunity against one or more diseases.
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Strains of bacteria can be used to produce antigens used in vaccines and are given to individuals during Vaccination.
What is Vaccination?This is the process by which an individual's immune system becomes fortified against an infectious agent.
The inactive strain of the infectious agent is usually injected to elicit an immune response when future infection takes place.
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8-1 skills practice multiplying and dividing rational expressions
To multiply or divide rational expressions, what is expected is that the 2 numerators and the 2 denominators are multiplied or divided with each other.
What is a rational expression?This is the ratio of two polynomials in mathematics. To multiply the expression it is the same as the normal multiplication done in mathematics.
The numerators first have to be multiplied together and then the same is done to the denominator.
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You cook a turkey until the internal temperature reaches 180°f. the turkey is placed on the table until the internal temperature reaches 100°f, and it can be carved. when the room temperature is 72°f, the cooling rate of the turkey is $r=0.067$ . how long do you have to wait until you can carve the turkey? use newton's law of cooling to solve the problem. round your answer to the nearest whole minute.
The newton's law of cooling is used to determine the waiting time
You will have to wait for 20 minutes to carve the turkey
How to determine the time?By newton's law of cooling, we have:
[tex]T = (T_o - T_R) e^{-rt} + T_R[/tex]
From the question, we have:
T = 100°f ---- The serving temperature
To = 180°f --- The initial temperature
TR = 72°f ----- the room temperature
r = 0.067 -- the cooling rate
So, we have:
[tex]T = (T_o - T_R) e^{-rt} + T_R[/tex]
[tex]100 = (180 - 72) e^{-0.067t} + 72[/tex]
Subtract 72 from both sides
[tex](180 - 72) e^{-0.067t} = 28[/tex]
Evaluate the difference
[tex]108 e^{-0.067t} = 28[/tex]
Divide both sides by 108
[tex]e^{-0.067t} = 0.25923[/tex]
Take the natural logarithm of both sides
[tex]-0.067t = -1.3500[/tex]
Divide both sides by -0.067
[tex]t = 20.149[/tex]
Approximate
[tex]t = 20[/tex]
Hence, you will have to wait for 20 minutes to carve the turkey
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Find the lateral surface area of the rectangular prism in centimeters. A) 96 cm2 b) 108 cm2 c) 126 cm2 d) 142 cm2
Option C) 120cm² is the correct answer.
Hence, the lateral surface area of the rectangular prism in 120cm².
This question is incomplete, the complete question is;
Find the lateral surface area of the rectangular prism in centimeters.
L=4, W=3, H=9
A) 96 cm2 b) 108 cm2 c) 126 cm2 d) 142 cm2.
Rectangular prismA rectangular prism or Cuboid is simply a three dimensional solid shape with six faces that are rectangles.
The lateral surface area of the rectangular prism is the perimeter of the base multiply by the height of the prism. It is expressed as:
[tex]LSA = 2 ( l + w ) h[/tex]
To determine the lateral surface area of the rectangular prism, we substitute our given values into the above expression.
[tex]L.S.A = 2(l+w)h\\\\L.S.A = 2( 4cm + 3cm )9cm\\\\L.S.A = 2( 7cm)9cm\\\\L.S.A = 126cm^2[/tex]
Option C) 120cm² is the correct answer.
Hence, the lateral surface area of the rectangular prism in 120cm².
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You are high up in the mountains and boil water to make some tea. however, when you drink your tea, it is not as hot as it should be. you try again and again, but the water is just not hot enough to make a hot cup of tea. which is the best explanation for this result?
Answer:
temperatures are all low on topbof the mountains
Answer:the cold
Explanation:mountains have this thing called an ice cap at the top
Write each number in standard notation. see example. example 2.7 × 10− 6
in the small intestine, which of the following enzymes breaks down oligosaccharides?
in the small intestine, the enzymes that breaks down oligosaccharides is glucoamylase.
What enzymes break down oligosaccharides ?The enzymes are known to be dextrinase and glucoamylase. They help to break down oligosaccharides.
They are known to be brush border enzymes and they consist of:
MaltaseSucraseLactaseNote that Lactase is not found in most adult humans and when compared to most poly-saccharides, it cannot be digested in the small intestine.
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How many ways can you listen to 3 songs from a cd that has 12 selections?
Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
What is permutationPermutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.
In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.
In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation
To obtain the total of ways in which m elements can be placed in n positions, the expression is used:
[tex]P=\frac{m!}{(m-n)!}[/tex]
The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.
Number of ways you can listen to 3 songsThe order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.
Being:
m=12n=3and replacing in the expression for permutation, you get:
[tex]P=\frac{12!}{(12-3)!}[/tex]
[tex]P=\frac{12!}{9!}[/tex]
[tex]P=\frac{479001600}{362880}[/tex]
P= 1320
Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
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When reacting na with cl2, we calculated that the theoretical yield should be 13
Answer:
96.15
Explanation:
when reacting with Na with Cl2, we calculated that the theoretical yield should be 13.0 grams. our actual yield was 12.5 grams. what is the percent yield? 96.15
If a+b=-8 and a + b = 50, what is the
a
value of ab?
Answer:
sorry is that question correct pls
A wave travels 600 m/s at a frequency of 200 hz. what is its wavelength?
The wavelength of the wave traveling at the given velocity and frequency is 3m.
Given the data in the question;
Velocity of wave; [tex]v = 600m/s[/tex]Frequency; [tex]f = 200Hz = 200s^{-1}[/tex]Wavelength; [tex]\lambda = \ ?[/tex]WavelengthWavelength is simply defined as the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
[tex]\lambda = \frac{v}{f}[/tex]
Where v is velocity and f is frequency.
To determine the wavelength of the wave, we substitute our given values into the expression above.
[tex]\lambda = \frac{v}{f} \\\\\lambda = \frac{600m/s}{200s^{-1}} \\\\\lambda = \frac{600ms/s}{200}\\\\\lambda = 3m[/tex]
Therefore, the wavelength of the wave traveling at the given velocity and frequency is 3m.
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Envision mathematics common core volume 2 answer key grade 6
Envision math common core can be used to analyze and solve linear equations.
What is Envision math?Envision math common core can be defined as a mathematics curriculum that are designed and developed for grades K-5 and K-6. Also, it was specifically designed to combine both problem-based questions and visual learning together.
This ultimately implies that, envision math common core can be used in the following ways:
To analyze and solve linear equations.To model relationships between problems.To investigate bivariate data.Read more on linear equations here: brainly.com/question/13170908
Society is a joint-stock company, in which the members agree, for the better securing of his bread to each shareholder, to surrender the liberty and culture of the eater. The virtue in most request is conformity. Self-reliance is its aversion. Based on the excerpt, what is emerson’s view of the relationship between society and individuals? society helps people feel more free. Society protects people’s rights. Society pushes people to be more unique. Society encourages people to be alike
Emerson’s view of the relationship between society and individuals is; D; Society encourages people to be alike.
What is the relationship between views?From the question, we see the society being referred to as a "joint-stock company" where the members agree on what they want and what they do not want.
Subsequently, we see how the society must work hand in hand to make sure that they give everyone what belongs to them so that everyone is self reliant.
Finally, we can say that the relationship between society and individuals is one where society encourages people to be alike which is depicted where the passage calls for conformity.
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Answer:
your answer is d
Explanation:
"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep." "i did not have strange dreams."
The expression "i did not have strange dreams." validates the statements below "I did not eat spicy foods" and "there is no thunder while I sleep"
Validity of Logical StatementsIn this exercise, the person gave three logical statements which are
"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep.Now since the person did not have/ experience strange dream, this proves that the person did not eat spicy food and there was not thunder while the person was asleep.
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A large industrial machine is able to monitor brainly
yes, they just monitor by flagged key words.