The length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
For this case, we have:
Radius of the circle = r = 6 ftAngle subtended by the considered arc of the circle on its center = [tex]\theta^c = \dfrac{\pi}{3}^c[/tex]Thus, if we take:
Length of the arc = L feet, then:
[tex]L =r \times \theta = 6 \times \dfrac{\pi}{3} = 2\pi \: \rm ft \approx 6.28 \approx 6.3 \: ft[/tex]
Thus, the length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.
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Answer:
c
Step-by-step explanation:
i did it and got it right
How much material is needed to make the popcorn container?
What is 9 to the of 3
Answer:
729
Step-by-step explanation:
Order Least to greatest
31/4 , 7.47, 7.706, 7 7/10
Answer:
Okay ordering them from least to greatest would be 7.47, 7.70, 7.706, and then 7.75.
Step-by-step explanation:
31/4 can also be simplified into 7.75
7.47 stays the same
so does 7.706
and 7 7/10 can be simplified into 7.70
So the order would be 7.47, 7.70, 7.706, and then 7.75.
Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509
Answer:$96,054,697,990 ”C”
Step-by-step explanation: Calculating the amount taxed from each person in the working population:31.4% × 26450 = $8305.30 per personThe amount of tax collected from the whole population:8305.30 × 11565470 = $96,054,697,990 ⇒ This is the annual tax revenue
The income tax collection by the total population of australia will be $96,054,697,990
What is income tax?
Some amount of our income is charged by the government this amount is called as income tax.
Calculating the amount taxed from each person in the working population:
31.4% × 26450 = $8305.30 per person
The amount of tax collected from the whole population:
8305.30 × 11565470 = $96,054,697,990
The annual tax revenue will be equal to $96,054,697,990
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Please help! will give brainlest!
Answer:
[tex]\frac{ \sqrt{3} }{2} [/tex]
Step-by-step explanation:
[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]
Xavier has 25% off coupon for Tool depot if he buys a cordless drill that normally cost 200 what will be the amount of the discount in dollars.
the discount will be 200 x 25% = 50
he will pay 150 for the cordless drill finally
Find the 78th term of the arithmetic sequence -4, -2, 0, ...−4,−2,0,...
Answer:
0
Step-by-step explanation:
-4, -2, 0
the 3rd number is always a 0 so if you do the sequence 78 times the 78th term will be a 0
A teacher of a dance class collected data and created a histogram as shown.
Which statement accurately describes the information in the graph?
A.
The data describes the ages of the teachers of an art class.
B.
The data describes the ages of the students in an art class.
C.
The data describes the ages of the students in a dance class.
D.
The data describes the ages of the teachers of a dance class.
Answer:
C
Step-by-step explanation:
this was quite the toungue twister
Please help .!!!!!!!!!!!!!!!
This being a piecewise function, trying to solve f(2), we must find which two equations we can use.
We can use the function '3x + 1' because its domain is 'x is greater than or equal to 2
--> f(2) = 3(2) + 1 = 7
Hope that helps!
Need help with this last question
I am doing a coordinate plane activity and i need help my teacher said it was going to be easy but to me it isn’t.
Will mark brainlist⭐️⭐️
What is the greatest common factor of 12 and 36?
2
4
06
12
Answer:
12
Step-by-step explanation:
have a good day n ily :)
What is the range of y = sin-1x? [–1, 1] [0, π] left-bracket negative startfraction pi over 2 endfraction, startfraction pi over 2 endfraction right-bracket (–[infinity], [infinity])
The range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
What is the range of the function?Range of a function is the set of all the possible output values which are valid for that function.
The trigonometry function given in the problem is,
[tex]y = \sin^{-1}x[/tex]
The above function can be written as,
[tex]\sin y = x[/tex]
The above function is the arc of sine function. The domain of arc of sine ranges from -1 to 1.
[tex]-1\leq x\leq1[/tex]
This is the domain of the inverse of sine function. In the attached image below, the graph of inverse sine function is plotted. The range of this function is,
[tex]-\dfrac{\pi}{2}\leq x\leq\dfrac{\pi}{2}[/tex]
Thus, the range of the provided inverse sine function in terms of x, and y y = sin-1x is [-π/2, π/2].
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Answer:
C {-pi/2,-pi/2}
Step-by-step explanation:
The school has $3,582 to spend on markers. Each package of markers costs $9. How many packages of markers can the school buy?
packages
Answer:
398
Step-by-step explanation:
3582 / 9 = 398
PLEASE HELP ME!!! 30 points to the first person that can answer!
The area of a triangle is 225 square feet. The height of the triangle is half of its base. How many feet is the base?
Answer:
The base is equal to 30
And the Hight is equal to 15
Step-by-step explanation:
30 * 15 ÷2 = 225
HELP ME PLEASE. THIS IS MY LAST QUESTION THEN I CAN GO TO BED.
Answer:
100.
Step-by-step explanation:
The 2 smaller triangles are similar, so:
48 / (x - 64) = 64 / 48
64(x - 64) = 48^2
x - 64 = 48^2/64
x = 48^2/64 + 64
= 100.
Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.
An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,
Total Cost = Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room
Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won
= 1,337,132 won
The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,
Amount left for Spending = Total Budget - Total Cost
= 2,192,896 won - 1,337,132 won
= 855,764 won
Thus, the amount left with Ian to spend is 855,764 won.
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Answer:
Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?
a. 1,337,132 won
b. 1,026,184 won
c. 855,764 won<<<CORRECT
d. 830,456 won
Step-by-step explanation:
2022 EDGE TOPIC TEST
Find the value of X round your answer to the nearest tenths
Answer:
x = 17.9
Step-by-step explanation:
[tex]tan40^{0} =\frac{15}{x}[/tex]
[tex]x=\frac{15}{tan40^{0} } =17.88[/tex]
rounded: 17.9
Hope this helps
Problem 1:
Solve for x: 3x+4=9x+3
A }
B
C-
D) None of the above.
Show work
Answer:
x=1/6
Step-by-step explanation:
3x+4=9x+3
isolate x
1=6x
1/6=x
[tex]======================================[/tex]
First, let's move all the x's to the left:
3x+4=9x+3
3x-9x+4=3
Now, move 4 to the right:
3x-9x=3-4
Combine Like Terms:
-6x=-1
Divide both sides by -6:
x=[tex]\displaystyle\frac{1}{6}[/tex]
[tex]=========================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Good luck & enjoy your day!Answered by:[tex]\mathcal{Diamond}[/tex] ([tex]\boxed{An~Emotional~Helper}[/tex])
PLSS help important
(will gibe brainliest)!
I dont understand this
To form the vector notation for the translation:
--> must find how much the new graph moved horizontally from the old
graph
--> the graph moved 8 units horizontally
--> must find how much the new graph moved vertically from the old
graph
--> the graph moved 4 units vertically
In vector notation, that would be (8,4)
Hope that helps!
what number is equivalent to the expanded form shown below (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)
(2×100)+(3×1)+(4×1/10)+(3×1/1000)
200+3+0.4+0.003
203.401
Please give me brainliest
The equivalent number is, 203.403.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expanded form of an number is,
⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + 3 x 1/1,000)
Now, We can write the number as;
⇒ (2 x 100) + (3 x 1) + (4 x 1/10) + (3 x 1/1,000)
⇒ 200 + 3 + 0.4 + 0.003
⇒ 203.403
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WILL GIVE BRAINLIST IF SHOWS MUST BE CORRECT
The number of goals scored by players on a soccer team is represented by the box plot below.
The measure of variability that best describes how the values in this data set vary is
A. Median
B. mean absolute deviation
C. interquartile range
D. mean
E. mode
because
A. there is an odd number of values in the data set
B. there is an outlier in the data set
C. the data distribution is symmetric
.
The measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.
What is a Symmetric Data Distribution in a Box Plot?A symmetric data distribution is depicted on a box plot when the median is in the middle of the rectangular box, and the whiskers are of almost the same length at both sides of the box. Such data distribution is said to be normally distributed.
A normally distributed data distribution is symmetric.
Interquartile range is a measure of variability in a box plot, which is the range of the rectangular box.
Therefore, the measure of variability that describes the values in the box plot is: C. interquartile range, because: C. the data distribution is symmetric.
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NEED ANSWERS QUICK! CORRECT ANSWER GETS BRAINLIEST
Find the quotient of 4 5/8 and 2 1/2. Express your answer in the simplest form.
Answer:
1 5/32
Step-by-step explanation:
this is the answer
Answer:
The correct answer is 1 5/32
Step-by-step explanation:
First,convert both of the mixed numbers into improper fractions.Next,do the KCF method.Keep,change,and flip.First,like up 4 5/8 and 2 1/2 next to eachother with a multiplication sign in the middle.(Must be in this order!!)Next,turn the multiplication sign into a division sign.After this,change the second mixed number,and flip the denominator and the numerator.Then simply multiply the top numerators and the denominators.That is where you get you answer, Simplifying may be needed. :)
Select all the ways below that correctly describe the ratio of bananas to monkeys in this picture: There’s 4 monkeys and 5 bananas.
1. 4 to 5
2. 5 to 4
3. 4:5
4. 5:4
5. 4/5
6. 5/4
7. 4.5
8. 5.4
(I seriously need help with this, I don’t know how to use Brainly but I hope this works.)
wich expression shows a way to factor 15+18
Ridgewood Bank is offering 5% simple interest on all of their savings accounts. If an account is opened with a starting balance of $200, how much money will be in the account after 3 years if no money is withdrawn?
230
Step-by-step explanation:[tex]We\ know\ that:[/tex]
[tex]\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.[/tex]
Formulate and substitute:
[tex]Substitute\left\{\begin{matrix}R=5\ percent\\P=200\\T=3\\\end{matrix}\right.into\ formula\\ F=P+prt\\ F=200+200rt[/tex]
Calculate
[tex]200\times (1+3\times 0.05)[/tex]
Calculate the product or quotient
[tex]200\times (1+0.15)[/tex]
Calculate the sum or difference
[tex]200\times 1.15[/tex]
Calculate the product or quotient
[tex]230[/tex]
I hope this helps you
:)
is 69 less than a right angle
Solve for area and perimeter in each of the following problems. (2)
Step-by-step explanation:
Area =5m×11m=55m²
perimeter =(11m+5m)×2=52m
hope it helps!
Alex wonders if the same proportion of people are left-handed in the United States and Canada. He wants to
obtain a random sample of people from each country to test if there is a significant difference between the
proportion of left-handed people in each country.
Which of the following is an appropriate set of hypotheses for Alex's significance test?
Answer:
Pu.s - pc = 0
Pu.s -pc ≠ 0
(Answer D)
Step-by-step explanation:
Kahn
The appropriate set of hypotheses for Alex's significance test is option D.
What is Hypothesis Testing?Hypothesis testing is the testing of the relationship between two variables for something we needed to test.
There is null hypothesis and alternate hypothesis.
Null hypothesis, H₀ is the statement we need to test.
Alternate hypothesis, H₁, is true if null hypothesis is false.
Here, given that,
Alex wonders if the same proportion of people are left-handed in the United States and Canada.
He wants to obtain a random sample of people from each country to test if there is a significant difference between the proportion of left-handed people in each country.
H₀ : there is no significant difference
H₁ : there is a significant difference
So the correct option is,
H₀ : p(U.S) - p(C) = 0
H₁ : p(U.S) - p(C) ≠ 0
Hence the correct option is D.
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Find the area when the circumference is 50.24 cm
Answer:
201
Step-by-step explanation:
C = 2pi.R
50.24/2pi = R
R= 8
area = pi R² = pi x 8² = 201