Answer:
24π inches
Step-by-step explanation:
The area of a circle is denoted by: , where r is the radius. Here, we know that the area is A = , so we can plug this in to find r:
A = [tex]\pi r^{2}[/tex]
[tex]144\pi = \pi r^{2}[/tex]
[tex]r^{2}[/tex] = 144
r = 12
The circumference is denoted by: , where r is the radius. We've found the radius so just plug 12 in for r:
Thus, the circumference is 24π inches.
Hope this helps!
Correct Question :
The area of a circle is 144π in². What is the circumference, in inches? Express your answer in terms of pi.
[tex] \: [/tex]
Step-by-step explanation:
Before finding the circumference of the circle, we have to find the radius of it.
We already know that,
[tex] \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \pi r{}^{2} = \: \: Area_{(circle)}}}}}} \: \: \bigstar \\ \\ [/tex]
So, using this formula we'll find the radius and now we'll substitute the given values :
[tex] \longrightarrow \qquad{ \sf{ \pi \times r{}^{2} = \: 144 \pi }} \\ \\[/tex]
Cancelling π from both sides we get :
[tex]\longrightarrow \qquad{ \sf{ \cancel\pi \times r{}^{2} = \: 144 \cancel\pi }} \\ \\[/tex]
[tex]\longrightarrow \qquad{ \sf{ r{}^{2} = \: 144 }} \\ \\ [/tex]
[tex]\longrightarrow \qquad{ \sf{ r{}^{} = \: \sqrt{144} }} \\ \\ [/tex]
[tex]\longrightarrow \qquad{ \sf{ \pmb{ r{}^{} = \: 12 }}} \\ \\ [/tex]
So,
The radius of the circle is 12 inches.[tex] \\ [/tex]
Now we'll find the circumference of the circle :
[tex] \\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: \: Circumference_{(circle)} = 2 \pi r}}}}}} \: \: \bigstar \\ \\ [/tex]
Now, we'll substitute the required values in the formula :
[tex] \\ { \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times \pi \times 12}}} \: \: \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \: \: Circumference_{(circle)} = 2 \times 12 \pi }}} \: \: \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \sf{ \pmb{ \: \: Circumference_{(circle)} = 24 \pi }}}} \: \: \\ \\ [/tex]
Therefore,
The circumference of the circle is 24π inchesJessica’s credit card is on a 30-day billing cycle, and it computes finance charges using the adjusted balance method. the following table details jessica’s use of her credit card in the month of october. date amount ($) transaction 10/1 1,240.55 beginning balance 10/2 36.43 purchase 10/10 75.00 payment 10/13 131.79 payment 10/20 41.52 purchase 10/22 25.00 purchase what is jessica’s adjusted balance for october? a. $1,136.71 b. $1,033.76 c. $1,140.55 d. $1,240.55
Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.
What is the adjusted balance method?In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.
Details of transactions for the month of October are given as:
Date Transaction/amount Details
10/1 $1,240.55 beginning balance
10/2 $36.43 purchase
10/10 $75.00 payment
10/13 $131.79 payment
10/20 $41.52 purchase
10/22 $25.00 purchase
Total balance at the end of October
= 1240.55+36.43-75-131.79+41.52-25
Total balance at the end of October =$1136.71
Therefore, Jessica’s adjusted balance for October is $1136.71.
To get more about the adjusted balance method visit:
https://brainly.com/question/1808408
Answer: b.) 1,033.76
Step-by-step explanation:
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.
Learn more about Symmetric Data Distribution on:
https://brainly.com/question/304810
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 :)
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
:)
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.
Learn more about Equation:
https://brainly.com/question/2263981
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
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.)
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].
Learn more about the range of the function here;
https://brainly.com/question/2264373
Answer:
C {-pi/2,-pi/2}
Step-by-step explanation:
is 69 less than a right angle
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
Suppose the two-variable equation
y = 600 + 10x
models the cost y of manufacturing x flash drives. If the company spends $9000 on manufacturing flash drives, then to find how many drives were manufactured, we solve the equation
Answer:
The states of the variables must be equal to the equations of the whole equation, There is no relative extreme in this equation, so its derivative y = 10
Step-by-step explanation:
[tex]y = 600 + 10x = f(x) = 600 + 10x[/tex]
[tex]y = 10[/tex]
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]
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.
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
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
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
What is the volume of the rectangular prism?
Answer:
63 yd³
Step-by-step explanation:
1 cube = ⅓ of a yard
B = 7 cubes
H = 9 cubes
D = 3 Cubes
Volume = BHD
Volume = 3 x 9 x 7
9 x 7 = 63
63 x 3 = 189
189 x ⅓ = 63.
How much material is needed to make the popcorn container?
Anyone know the answer
so the equation is 1 1/3 ÷ 1 2/5
simpilify it
4/3 ÷ 7/5
since its division, you want to make it multiplication to you switch the fractions around.
you get the equation 3/2 * 5/7
which is 15/14
that converted to a improper fraction is 1 1/14
answer: 1 1/14
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])
Can you help me with this
Answer:
the anwer is d
I did the math
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!
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
To know more about income tax follow
https://brainly.com/question/25783927
Round.............100pts
Answer: ≈ 4.
Step-by-step explanation: In order to solve this, you need to turn this into an addition problem. In order to do that, we need to transform the 3 into a fraction:
3/1 + 175/349.
Solve:
3/1 + 175/349 = 3.50143266 or ≈ 4.
Have a great day! :)
Answer:
4
Step-by-step explanation:
Convert the mixed fraction into decimal form using a calculator
[tex]\rightarrow 3\dfrac{175}{349} = 3.501 \ \ \ \ \ \text{(Upto three dp)}[/tex]
Since the number in decimal form is about 0.002 more than 3.49, the number will round up to 4 (Nearest whole number).
Question 17/23
0м
NEXT
BOOKMARK
CHECK ANSWER
In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?
Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
~Lenvy
Need help with this last question
wich expression shows a way to factor 15+18
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
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
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. :)
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