Our point A(x, y) becomes Something' when a point is rotated 270 degrees counterclockwise around the origin (y,-x). This implies that we reverse x and y and turn x negative.
What do math coordinates mean?A pair of numbers that provide the position of a point on such a coordinate plane using the horizontal as well as separations first from two reference axes. usually represented by a pair of x-values and y-values (x,y).
How do you solve difficulties using coordinates?To find a point's coordinates in some kind of a co - ordinate system, you perform the opposite. Starting at the point, travel vertically up or down until your reach the x-axis. There seems to be your x-coordinate shown. Continue the previous procedure while staying on a horizontal line to obtain the y-coordinate.
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please help me i have been sruggling for ages now
Answer:
13:00
Make a straight line from the vertex of the current Yuri line to 16:15
Step-by-step explanation:
Please help! I’ll give brainliest !
A) 0.5
B) 1.5
C) 2
D) 3
Answer:
с)2
Step-by-step explanation:
please make it braintliest
Answer:
The scale factor is 3. So your answer is D
Step-by-step explanation:
PLEASE MARK BRAINLIEST, THANK YOU SM
PLS HELP
if u do ill mark u branliest
Hello there!
15 is a term so the first digit in the code is 4.
15-3y is an expression so the second digit in the code is 5
4 5 x x x is the code right now
Now, let's solve the third puzzle:
4(2y-3)-2y=24
8y-12-2y=24
Combine like terms:
6y=36
x=6
4 5 4 x x is the code right now
The next problem:
1/3(12x-3)=7
4x-1=7
4x=8
x=2
4 5 4 2 x is the code right now
Problem 5: I think it's infinite solutions
4 5 4 2 4 is the code!
I hope it is correct! If it isn't, don't report and send me more puzzles! I would love to strain my brain!
Your friend, \(GraceRosalia\)
Answer:
1) 15 is a variable (2)
2) 15y-3 is a term (4)
3) y=6 (4)
4) x=2 (2)
5) infinite solutions (4)
the code is 24424
Step-by-step explanation:
There are 145 students at a small school and 41 of them are freshmen. What fraction of the students are freshmen? Use "/" for the fraction bar. Do not use spaces in your answer.
Answer: To find the fraction of students who are freshmen, we divide the number of freshmen (41) by the total number of students (145).
Fraction of freshmen = 41/145
Step-by-step explanation:
Answer:
Step-by-step explanation:
freshman / students = 41/145
A. It has point symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has reflectional symmetry with five lines of symmetry.
D. It has no rotational symmetry.
HELP WILL MARK BRAINLIEST.
Answer: C. It has reflectional symmetry with five lines of symmetry.
The five lines of symmetry are shown in the diagram below. Each line splits a flower petal in half. Each line also splits the entire flower in half. In other words, reflecting one half of a flower over any given line of symmetry, generates the other half of the flower.
The correct answer is C. The given figure has reflectional symmetry with five lines of symmetry.
Symmetry refers to the property of an object remaining unchanged when certain transformations are applied to it.
A. Point symmetry, also known as rotational symmetry, means that the object looks the same when rotated by a certain angle around a central point. However, a given figure does not have point symmetry since it does not look the same when rotated by any angle around a central point.
B. The statement that the flower has rotational symmetry with an angle of rotation of 120° is incorrect because, as mentioned above, it does not possess rotational symmetry.
C. The flower does have reflectional symmetry with five lines of symmetry. This means that the flower can be divided into five equal parts using five lines of reflectional symmetry, such that each part is a mirror image of the other.
D. The statement that the flower has no rotational symmetry is correct, as mentioned in A and B.
Therefore, the correct answer is C. It has reflectional symmetry with five lines of symmetry.
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A clinic has several doctors. Every patient, on average, requires about 27 minutes with a doctor Each doctor works 8 hours per day and 7 days per week. The clinic also operates 8 hours per day and 7 days per week. Based on past observations, the clinic must serve 122 patients per day. How many doctors should the clinic hires in order to serve 122 patients per day? Use at least 4 decimals in your calculation and answer.
The clinic should hire at least 7 doctors in order to serve 122 patients per day.
To determine how many doctors the clinic should hire in order to serve 122 patients per day, we need to calculate the number of patients each doctor can see within their working hours.
Let's start by calculating the total number of minutes each doctor works per day. Since each doctor works 8 hours per day and there are 60 minutes in an hour, the total minutes worked by a doctor per day would be 8 hours × 60 minutes = 480 minutes.
Next, we need to find out how many patients a doctor can see within their working hours. Given that each patient requires an average of 27 minutes with a doctor, the number of patients a doctor can see per day would be 480 minutes ÷ 27 minutes per patient = 17.7778 patients.
Since we can't have a fractional number of patients, we need to round this number up to the nearest whole number to ensure that each patient gets the required attention. Therefore, each doctor can see approximately 18 patients per day.
To serve 122 patients per day, we divide the total number of patients by the number of patients each doctor can see per day: 122 patients ÷ 18 patients per doctor = 6.7778 doctors.
Again, we can't have a fractional number of doctors, so we need to round this number up to the nearest whole number. Therefore, the clinic should hire at least 7 doctors to serve 122 patients per day.
In summary, the clinic should hire at least 7 doctors in order to serve 122 patients per day.
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Here is a rectangle with length 5 units and width 2 units.
1. What is the area of the rectangle?
2. Dilate rectangle ABCD from point A by a scale factor of 2. Calculate the area of the image.
3. Dilate rectangle ABCD from point A by a scale factor of 3. Calculate the area of the image.
This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Solving for the area and scale factor we have:
L= 5 units
W = 2 units
The area of the rectangle =L * WA = (5 x 2)
A = 10 square units.
If the rectangle is dilated from point A by a scale factor of 2, the area of the image:A= (Scale factor of L * W)* L * W
= (2 x 2 x 5 x 2)
A = 40 square units.
If the rectangle is dilated from point A by a scale factor of 3, the area of the image is:A= (Scale factor of L * W)* L * W
= (3 x 3 x 5 x 2)
A= 90 square units
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A 150 -day \( \$ 4 \) million CD has a \( 3.95 \) percent annual rate quote. If you buy the CD. how much will you collect in 150 days? \( \$ 4,047,439 \) \( \$ 4,045.678 \) \( \$ 4,065,833 \) \( \$ 4,
If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.
To calculate the amount you will collect after 150 days, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = annual interest rate (as a decimal)
n = number of times the interest is compounded per year
t = time (in years)
In this case, the principal amount is $4 million, the annual interest rate is 3.95% (or 0.0395 as a decimal), and the CD has a 150-day term.
To determine the number of compounding periods in 150 days, we need to consider the compounding frequency. CD interest is typically compounded daily. Therefore, we have:
n = 365 (number of days in a year) / 150 (number of days in the CD term) = 2.4333
Plugging the values into the formula:
A = $4,000,000 * (1 + 0.0395/2.4333)^(2.4333*150/365)
A = $4,047,439
If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.
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The type of book that the students at a middle school prefer to read is shown in the table. Type of Book Number of Students Mystery 45% Science-fiction 35% Non-fiction 5% Fantasy 15% Tanner wants to make a circle graph of the data. How many degrees would be used for the section representing the students who prefer to read fantasy books?
A 15°
B. 27°
C. 45°
D. 54°
E 75°
I'm a bit stuck, please can anyone help me?
8x-12 = 6x + 2
Answer:
x = 7
Step-by-step explanation:
8x - 6x = 2 + 12
2x = 14
2/2 x = 14/2
x = 7
FRACTIONS PLS HELP
NO LINKS
Answer:
One-eighth is equal to half of one-fourth.
Step-by-step explanation:
1/4 x 1/2 = 1/(4 x 2) = 1/8
I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.
Answer: 3/5 or 0.6
Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot. If you divide 3 by 5 you get 0.6.
Please give me the correct answer.Only answer if you're very good at math.
Answer:
10
Step-by-step explanation:
How many coupons did we each earn just for arriving at Castel Saint'Angelo? This represents the initial value in this situation.
If you look at the graph, before we went to any monuments (when monuments=0), we already had 10 coupons. Thus, the initial value is 10 coupons.
Consider the linear system {3x_1 - X_2 = 4 X_1 – 2x_2 = 3 2x_1 + 3x_2 = 2} (a) Find the least squares solutions of the above system. (b) Compute the least squares error vector and least squares error.
(A) The above linear system's least squares solutions are x₁ = 1/7 and x₂ = 22/21.
(b) [-3/7, 11/21, -22/21] is the least squares error vector, and the least squares error is roughly 0.8571.
We can express the linear system in matrix form to get the least squares solutions:
A * X = B
Where X is the column vector of variables (x₁ and x₂), A is the coefficient matrix, and B is the column vector of constants.
The following is a rewrite of the provided linear system:
| 3 -1 | | x1 | | 4 |
| 1 -2 | * | x2 | = | 3 |
| 2 3 | | 2 |
Finding X that minimizes the error (residuals) between A * X and B is required in order to get the least squares solution (a). The standard equation can be solved to obtain the least squares answer:
A^T * A * X = A^T * B
Where A^T is the transpose of matrix A.
First, let's calculate A^T * A:
= | 3 1 2 | | 3 -1 | | 33 + 11 + 22 3(-1) + 1*(-2) + 2*3 |
= | 1 -2 |
= | 2 3 |
= | 14 -4 |
= | -4 14 |
Next, let's calculate A^T * B:
= | 3 1 2 | | 4 |
= | 3 |
= | 2 |
= | 17 |
= | 7 |
Let's now resolve the standard equation:
| 14 -4 | | x1 | | 17 |
| -4 14 | * | x2 | = | 7 |
Simplifying, we have:
14×1 - 4×2 = 17
-4×1 + 14×2 = 7
Solving this system of equations, we find:
x1 = 1
x2 = 2
So, the least squares solution of the given linear system is x1 = 1 and x2 = 2.
Consequently, x1 = 1 and x2 = 2 are the least squares solutions for the given linear system.
(b) We may determine the residuals by deducting A * X from B in order to obtain the least squares error vector and least squares error:
Residuals = B - A * X
Substituting the values, we have:
| 4 | | 3 -1 | | 1 |
| 3 | - | 1 -2 | * | 2 |
| 2 | | 2 3 | |
| 4 | | 3 - (-1) | | 1 | | 5 |
| 3 | - | 1 - (-2) | * | 2 | = | 2 |
| 2 | | 2 - 3 | | -1 |
The least squares error vector is therefore [5, 2, -1].
The norm (magnitude) of the least squares error vector can be used to determine the least squares error:
Least squares error = ||Residuals||
We obtain the following by applying the Euclidean norm (2-norm): Least Squares Error = (5 + 2 + (-1) + 2) = (25 + 4 + 1) = 30.
As a result, the least squares error is roughly 30.
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3(x + 1) + 2 < 11
Solve each inequality and graph the solution
Answer:
3x+3+2<11
Step-by-step explanation:
3x<11+3+2
3x<16
so now you divide 3 by the co-efficient
3x/3<16/3
so now 3 council 3 then you get x
x<16/3
x<5
now x is equal to 5
Help pls I put in a photo
Answer:
m∠D = 49°
m∠E = 41°
m∠F = 90°
Step-by-step explanation:
We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.
Given:
90° + 5x° + 14° + 3x° + 20° = 180°
Combine like terms:
8x° + 124° = 180°
Subtract 124 from both sides of the equation:
8x° = 56°
Divide both sides of the equation by 8:
x = 7
Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.
m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°
what is -5x^2 = -50?
Answer:
x = 3.1622776
Step-by-step explanation:
what is the measure of angle y
Answer:
Step-by-step explanation:
You are given a right triangle. The square in the corner of the triangle tells you that that angle = 90°. Also the sum of all three angles in a triangle = 180°.
Sum of the angles in the triangle = 40° + 90° + y = 180°
130° + y = 180°
y = 180° - 130°
y = 50°
Second way:
The acute angles of a right triangle = 90°. Therefore 40° + y = 90°
y = 90° - 40°
y = 50°
At a picnic there are 7 pieces of fruit for every 4 vegetables. If there are 28 pieces of fruit, how many vegetables are there?
Step-by-step explanation:
There are 7 fruits for every 4 vegetables.
If there are 28 fruits, the number of fruits have multiplied by 4. This means that the number of vegetables have multiplied by 4 as well.
=> 4 * 4 = 16 vegetables.
Hence there are 16 vegetables.
I need help with math
Step-by-step explanation:
Q1
A. x must be 0
B. x can be any number. it because every number times by 0 will be 0
Q2
(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =
2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =
2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =
2⁰ + 5² = 25
Q3
4.55 x 10¹³ - 1.78 x 10¹² =
45.5 x 10¹² - 1.78 x 10¹² =
43.72 x 10¹²
4,37 x 10¹³ kg
Q4
A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸
or in scientific we can write 9.56 x 10³⁸ ergs
B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter
Find the measures of the interior angles please
Solution:
X°+68°+(x-24)°=180°
Or,2x°-24°=180°
Or,x=180°
now by puttin' the value of x we get,
<A=180°
<B=68°
<C=156°
How long will an initial bank deposit of $10,000 grow to $23,750 at 5% annual compound interest?
Given:
P = $10000
r= 5%
Find:
we have to find the time for which initial bank deposit of $10,000 grow to $23,750 at 5% annual compound interest.
Explanation:
The formula for compound interest is
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(23,750.00/10,000.00) / ( 1 × [ln(1 + 0.05/1)] )
t = ln(23,750.00/10,000.00) / ( 1 × [ln(1 + 0.05)] )
t = 17.729 years
Summary:
The time required to get a total amount of $23,750.00 with compounded interest on a principal of $10,000.00 at an interest rate of 5% per year and compounded 1 times per year is 17.729 years.
(about 17 years 9 months)
our friend sings every saturday night at your favorite bar in san diego. during his show, people show up at the rate of 1 person every minute. a) [4 points] what is the probability that on a random minute, at least 3 people show up?
If people show up at rate of 1 person every minute , then the probability that on a random minute , at least 3 people show up is 0.084 .
The number of people showing up at bar in San Diego during any random minute is a Poisson process with an average rate of 1 person per minute.
Let X = number of people who show up during a random minute.
Then X will follows a Poisson distribution with parameter λ = 1.
So , probability of at least 3 people showing up in a random minute is:
⇒ P(X ≥ 3) = 1 - P(X < 3)
⇒ 1 - (P(X = 0) + P(X = 1) + P(X = 2))
By using Poisson probability mass function for finding P(X = k) for k = 0,1,2 ;
⇒ P(X = k) = (\(e^{-\lambda}\))×(\(\lambda ^{k}\))/k!
Substituting in λ = 1, we get ;
⇒ P(X = 0) = (\(e^{-1}\))×(\(1 ^{0}\))/0! = 1/e ;
⇒ P(X = 1) = (\(e^{-1}\))×(\(1 ^{1}\))/1! = 1/e ;
⇒ P(X = 2) = (\(e^{-1}\))×(\(1 ^{2}\))/2! = 1/2e ;
So, the probability of at least 3 people showing up in a random minute is:
⇒ P(X ≥ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))
= 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e)
= 1 - (5/2e)
= 0.083019 ≈ 0.084 .
Therefore , the required probability is 0.084 .
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The given question is incomplete , the complete question is
Your friend sings every Saturday night at your favorite bar in San Diego. During his show, people show up at the rate of 1 person every minute.
What is the probability that on a random minute, at least 3 people show up ?
What is the value of k if one of the zeros of the quadratic polynomial K 2 x2 2x 5?
If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.
What is polynomial?A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.
Here,
4 is a root/zero of polynomial
P(x) = (k-2) x² - 2 x - (k+5)
P(4) = 0
(k - 2) 4² - 2 * 4 - (k+5) = 0
15 k - 45 = 0
k = 3
The value of k if 4 is one of the zeros of the quadratic polynomial is 3.
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Complete question:
If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells.
Answer:
34+12x=100 12x=66 x=66/12=11/2 answer:11/2
Step-by-step explanation:
Answer:
\(12n+34>100\)
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: \(12n+34\)
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100.
(3) The electricity accounts of residents in a very small town are calculated as follows: - If 500 units or fewer are used, the cost is 2 cents per unit. If more than 500 but not more than 1000 units are used, the cost is $10 for the first 500 units and 5 cents for every unit in excess of 500 . - If more than 1000 units are used, the cost is $35 for the first 1000 units plus 10 cents for every unit in excess of 1000 . A basic service fee of $5 is charged, no matter how much electricity is used. Write a program that enters the following five consumptions into a vector and uses a for loop to calculate and display the total charge for each one: 200,500,700,1000,1500. (Answers: $9,$15, $25,$40,$90)
The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.
# defining function to calculate total cost
def total_cost(units):
if units <= 500:
return units * 0.02
elif units <= 1000:
return (500 * 0.02) + ((units - 500) * 0.05)
else:
return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)
# Driver Code
consumptions = [200, 500, 700, 1000, 1500]
for i in consumptions:
total = total_cost(i)
print("Total cost of Electricity for", i, "units is", round(total + 5, 2))
Output:
Total cost of Electricity for 200 units is 9.0
Total cost of Electricity for 500 units is 15.0
Total cost of Electricity for 700 units is 25.0
Total cost of Electricity for 1000 units is 40.0
Total cost of Electricity for 1500 units is 90.0
The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.
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Jerome and Jewel Jones are looking to buy their family home for their burgeoning brood. They are looking for a five-bedroom house. The average price of a five- bedroom house is GH¢450,000 in their locality. A bank offers the couple a 15- year mortgage facility at an interest rate of 24.5%. The bank also requires that the instalment payments do not exceed 30% of the couple’s monthly income. What should be the couple’s combined monthly income if they wish to take the facility?
Answer:
1. Jerome and Jewel Jones are looking to buy their family home for their burgeoning brood. They are looking for a five-bedroom house. The average price of a five- bedroom house is GH¢450,000 in their locality. A bank offers the couple a 15- year mortgage facility at an interest rate of 24.5%. The bank also requires that the instalment payments do not exceed 30% of the couple’s monthly income. What should be the couple’s combined monthly income if they wish to take the facility?
2. You are willing to pay GH¢15,625 now to purchase a perpetuity that will pay you and your heirs GH¢1,250 each year, forever, starting at the end of this year. If your required rate of return does not change, how much would you be willing to pay if this were a 20-year, annual payment, annuity instead of a perpetuity?
3. Desmodus Limited, a toy maker, prepares its accounts to 31 December each year. For the 2017 financial year the company paid a dividend of GH¢0.55 per share. Dividends paid are paid at the end of year but the 2017 were 80% lower than that of the previous year due to a difficult financial year. Members of the com- pany at its annual general meeting agreed not to pay dividends over the next two years and instead pay down the company’s bonds. Dividend payment will resume thereafter at the level of the 2017 dividends for three years. Management be- lieves that the company can afford to increase dividends at a rate of 4% thereafter for the foreseeable future. What is the intrinsic value of the company’s shares at the start of 2019 financial year if firms in the toy industry deliver returns of 13.5% on average?
4. YouhavejustjoinedtheMaaretsGroup,andyourbossasksyoutoreviewarecent analysis that was done to compare three alternative proposals to enhance the firm’s manufacturing facility. You find that the prior analysis ranked the proposals according to their IRR, and recommended the highest IRR option, Proposal A. You are concerned and decide to redo the analysis using NPV to determine whether this recommendation was appropriate. But while you are confident the IRRs were computed correctly, it seems that some of the underlying data regarding the cash flows that were estimated for each proposal was not included in the report. Here is the information you have, all amounts in millions of GH¢ o.:
PROPOSAL IRR YEAR 1 YEAR 2 YEAR 3 YEAR 4
A 60% -100 30 153 88
B 55% ? 0 206 95
C 50% -100 37 0 204+?
(a) Which projects would recommend based on the NPV of each proposal if the appropriate cost of capital is 10%?
(b) Would your recommendations be valid if the company has capital limitation of GH¢285 million? Explain your with appropriate detail.
Step-by-step explanation:
Somebody please help me
50 point if u answer both!!! Please help!!!!!
Answer:
16 (: That is what i think...
Step-by-step explanation:
Sierra is riding on a carousel with a 10 foot radius she's located 1. 5 feet from the edge of the car song how far would you travel in five revolutions
Sierra would travel approximately 316 feet in five revolutions.
We know that a revolution is equal to the circumference of a circle with a radius of 10 feet. The formula for circumference is:circumference = 2πr, where r is the radius of the circle.Using this formula, we can calculate the circumference of the carousel:circumference = 2π(10)circumference = 20πSo, one revolution of the carousel covers a distance of 20π feet.
In five revolutions, Sierra would travel a distance of:distance = 5(20π)distance = 100π feet.Now, we need to take into account that Sierra is located 1.5 feet from the edge of the car.
This means that the total distance she would travel is 100π + 1.5 x 2 x 5 = 100π + 15 feet, or approximately 315.7 feet.Rounding this off to the nearest whole number, Sierra would travel approximately 316 feet in five revolutions.
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