.05866 as a fraction is 2933 / 50000
Explanation: Convert to a mixed number by placing the numbers to the right of the decimal over 100000. Then reduce the fraction.
A train is 152 meters long and runs 63.36 km/h. A person walks in the same direction as the train. The train takes 8 seconds to pass the person. Then the person walks m/s. Enter the answer
We can start by converting the speed of the train from km/h to m/s:
63.36 km/h = 63.36 * 1000 m/3600 s = 17.6 m/s
We can use the formula:
distance = speed x time
to find the distance the train travels in 8 seconds. Since the person is walking in the same direction as the train, the relative speed between the train and the person is the difference between their speeds:
relative speed = train speed - person speed
The train covers the length of itself (152 meters) plus the distance traveled by the person in 8 seconds. We can set up the equation:
152 = (17.6 - person speed) x 8 + person speed x 8
152 = 140.8 - 8 person speed + 8 person speed
152 - 140.8 = 0.8 person speed
11.2 = 0.8 person speed
person speed = 11.2 / 0.8 = 14 m/s
Therefore, the person is walking at a speed of 14 m/s.
someone help me
i will give u 5 star..
Answer:
Step-by-step explanation:
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
Answer:
25
Step-by-step explanation:
what is the answer to life
A.) outcastic
B.)pain
C.) depression
D.)bipolar
Answer:
C can u pls give me brainliest so i can lvl up
Step-by-step explanation:
Answer:
C. depression
Step-by-step explanation:
:(((((((((
find the 6 trigonometric function values of the angle
please use either 45-45-90 triangle or 30-60-90 triangle
cos -5pi/4
sec -2pi/3
The six trigonometric functions are:
cos (-5π/4) = cos (-π/4) = -√2/2sin (-5π/4) = sin (-π/4) = -√2/2tan (-5π/4) = tan (-π/4) = 1cot (-5π/4) = cot (-π/4) = -1sec (-2π/3) = 4cosec (-2π/3) = 2/√3
Let's find the trigonometric values using the given angles:45-45-90 triangle.We know that for a 45-45-90 triangle, the sides are in a ratio of 1:1:√2 and the angles are 45°, 45°, and 90°.
Now, we are to find the trigonometric function values of the angles.cos (-5π/4) = cos (-π/4)Using unit circle, the terminal side of angle -π/4 in the fourth quadrant makes a reference angle of π/4.
The coordinates are (-√2/2, -√2/2).cos (-π/4) = -√2/2sec (-2π/3)The angle -2π/3 is in the third quadrant.
The reference angle of -2π/3 in the triangle is π/3.
Using the 30-60-90 triangle, we know that the sides are in the ratio of 1:√3:2 and the angles are 30°, 60°, and 90°.In the 30-60-90 triangle, we have: sec θ = 2/cos θsec (-2π/3) = 2/cos (π/3) = 2/1/2 = 4cos θ = 1/2
Using the coordinates on the unit circle of π/3, the adjacent side is 1/2cos θ = 1/2sin θ = √3/2tan θ = sin θ/cos θ = √3cot θ = 1/tan θ = 1/√3cosec θ = 1/sin θ = 2/√3.
The six trigonometric functions are:
cos (-5π/4) = cos (-π/4) = -√2/2sin (-5π/4) = sin (-π/4) = -√2/2tan (-5π/4) = tan (-π/4) = 1cot (-5π/4) = cot (-π/4) = -1sec (-2π/3) = 4cosec (-2π/3) = 2/√3
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You are on top of a building. You look down on the neighboring building at an angle of depression of 30 degrees. Your building is 100 feet tall. The buildings are 30 feet apart. How tall is the other building in feet rounded to the nearest tenth?
Rounded to the nearest tenth, the height of the neighbouring building is approximately 117.3 feet.
What is tangent function?The tangent function is a trigonometric function that relates the angle of a right triangle to the ratio of the length of its opposite side to the length of its adjacent side.
According to question:We can use trigonometry to solve this problem. Let h be the height of the neighbouring building in feet. Then, we can use the tangent function, which is defined as the opposite side (height of the neighbouring building) over the adjacent side (distance between the buildings),
to find h: tan(30°) = h/30
h = 30 * tan(30°)
h ≈ 17.3 feet
However, this value is the height from the ground to the top of the neighbouring building. Since we are on a 100-foot tall building, we need to add 100 feet to get the total height from the ground to our line of sight. Therefore, the height of the neighbouring building is approximately:
h + 100 ≈ 117.3 feetRounded to the nearest tenth, the height of the neighbouring building is approximately 117.3 feet.
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Rút gọn biểu thức √81a^6b^2
Answer:
English.........plzpzl
xiaoying has a piggy bank with 7 pennies, 7 nickels, 7 dimes and 7 quarters. how many different handfuls of 8 coins could she grab from the piggy bank?
There are 1764 different combinations of 8 coins she could grab from the piggy bank.
1. Calculate the total number of combinations of 8 coins she could grab from the piggy bank:
7 pennies x 7 nickels x 7 dimes x 7 quarters = 2401 combinations
2. Subtract the combinations with more than 8 coins:
7 pennies x 7 nickels x 7 dimes x 6 quarters = 1764 combinations
3. The total number of different handfuls of 8 coins she could grab from the piggy bank is 1764.
She could grab 8 pennies, 8 nickels, 8 dimes, 8 quarters, 7 pennies and 1 nickel, 7 pennies and 1 dime, 7 pennies and 1 quarter, 7 nickels and 1 penny, 7 nickels and 1 dime, 7 nickels and 1 quarter, 7 dimes and 1 penny, 7 dimes and 1 nickel, 7 dimes and 1 quarter, 7 quarters and 1 penny, 7 quarters and 1 nickel, 7 quarters and 1 dime, and any other combination of 8 coins she can think of.
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24.7% of the products in the local shop are specialty soaps. 76% of those soaps are made with fresh herbs. if there are 350 bars of specialty soap in the shop, approximately how many of them are not made with fresh herbs? round your answer up to nearest whole number
we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs? well, just 76% of those 350
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)
Solve:p^2+2p^2-5*2p+5=0
These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.
To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.
Combining like terms, the equation becomes:
3p^2 - 10p + 5 = 0
Now, we can use the quadratic formula to solve for p. The quadratic formula states:
p = (-b ± √(b^2 - 4ac)) / (2a)
For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:
p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)
Simplifying further:
p = (10 ± √(100 - 60)) / 6
p = (10 ± √40) / 6
p = (10 ± 2√10) / 6
Now, we can simplify and find the two possible values of p:
p₁ = (10 + 2√10) / 6
p₂ = (10 - 2√10) / 6
These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.
In simplified form, the solutions are:
p₁ = (5 + √10) / 3
p₂ = (5 - √10) / 3
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Does anyone know the answer to this ?
9514 1404 393
Answer:
G: $27
H: $25
Step-by-step explanation:
In each case, the "initial cost" is the cost when the number of hours is zero.
For company G, it is ...
c = 27 + 10·0
c = 27
For company H, it is 25 (corresponds to Hours = 0).
__
The initial costs are ...
G: $27
H: $25
_____
Additional comment
The cost per hour is found from the equation by looking at the coefficient of h. It is $10 per hour for Company G.
The cost per hour is found from the table by looking at the increase when the number of hours increases by 1. For 1 hour, the cost goes from 25 to 32, an increase of $7 for 1 hour. The cost is $7 per hour for Company H.
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer:
$18,000.
Step-by-step explanation:
When their weekly pay is the same:
185 + 0.03x = 275 + 0.025x
0.03x - 0.025x = 275 - 185
0.005x = 90
x =90/0.005
x = 18,000
The graph of f(x) and (x) are shown below. For what interval is the value of (f-g) (x)
The interval the value of the function (f - g)(x) is negative is (-∞, 2]
What is a function?A function is a rule or definition that maps an input variable unto an output such that each input has exactly one output.
The equations on the possible graphs in the question, obtained from a similar question posted online are;
f(x) = x - 3
g(x) = -0.5·x
(f - g)(x) = x - 3 - (-0.5·x) = 1.5·x - 3
(f - g)(x) = 1.5·x - 3
Therefore; The x-intercept of the function (f - g)(x) = 1.5·x - 3 is; (f - g)(x) = 0 1.5·x - 3
1.5·x - 3 = 0
1.5·x = 3
x = 3/1.5 = 2
x = 2
The y-intercept is the point where, x = 0, therefore;
(f - g)(0) = 1.5×0 - 3 = -3
The interval the function is negative is therefore;
-∞ < x ≤ 2, which is (-∞, 2]The equations of the possible graphs of the function, obtained from a question posted online are;
f(x) = x - 3, g(x) = -0.5·x
The interval the function (f - g)(x) is negative is required
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if f(x) = -4(9/8)x, then what is the sum of its y-intercept and its value where x=1?
Answer:
when X=1 y = -9/2
Step-by-step explanation:
\( - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} \)
The price of an item yesterday was $60. Today, the price fell to $42. Find the percentage decrease.
Answer:
-30% or 30% decrease
Step-by-step explanation:
What's percentage decrease?
Percent decrease is the difference between the initial value and new value, indicating a loss of value. The formula to find percent decrease is \(\frac{NV-IV}{IV} * 100\), where NV = new value and IV = initial value.How do we solve this problem?
We know that the original value was $60, so that represents IV. Also, now that the price is $42, it represents NV. Now, we plug in the values!\(\frac{42-60}{60} * 100\) \(\frac{-18}{60} * 100\) \(-\frac{3}{10} * 100\) \(-3 * 10\) \(-30\)Therefore, the answer is 30% decrease.
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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Point A is at-4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?
A
B
-54-3 -2 -1 0 1 2 3 4 5 6 7 8
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a 3:2
ratio is 0.
O For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so the point that divides AB into a
3:2 ratio is 3.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 1.
O For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a
3:2 ratio is 2
The point that divides AB into a 3:2 ratio is calculated by (d) for a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2
How to determine the ratio?The given parameters are:
A = -4
B = 6
Start by calculating the length AB using:
AB = |B - A|
This gives
AB = |6 -(-4)|
Evaluate
AB = 10
Next, the length is divided into 5 parts.
So, the length of each part is:
Length = 10/5
Length = 2
The point on the location 3 : 2 is then calculated as:
Point = A + 3 * Length
This gives
Point = -4 + 3 * 2
Evaluate
Point = 2
The above computation is represented by option (d)
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Need help ASAP! Directions in picture ;)
Answer:
Simplifying
X + 59 + 84 + X + 51 = 180
Reorder the terms:
59 + 84 + 51 + X + X = 180
Combine like terms: 59 + 84 = 143
143 + 51 + X + X = 180
Combine like terms: 143 + 51 = 194
194 + X + X = 180
Combine like terms: X + X = 2X
194 + 2X = 180
Solving
194 + 2X = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-194' to each side of the equation.
194 + -194 + 2X = 180 + -194
Combine like terms: 194 + -194 = 0
0 + 2X = 180 + -194
2X = 180 + -194
Combine like terms: 180 + -194 = -14
2X = -14
Divide each side by '2'.
X = -7
Simplifying
X = -7
Hello I am new to Brainly Hope it will help me
Answer:
Welcome ganger
Step-by-step explanation:
Answer:
It will
Try not to use too many Pts
Use the graph of the function to find the domain and range of F. Use the graph to find the indicated function value. (Question is in the photo sorry lol)
In this problem, we have the graph of a function, and we must determine the domain, range and the values of the functions for different values of x.
(1) Domain
The domain of a function is the complete set of possible values of the independent variable (x, usually).
Looking at the graph, we see that the independent variable x takes all the values of the real line, from -∞ to +∞. So the domain of the function is:
\(Domain=(-\infty,\infty).\)(2) Range
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually) after we have substituted the domain.
Looking at the graph, we see that the dependent variable y takes all the values:
\(y>-3.\)So the range of the function is:
\(Range=(-3,\infty).\)(3) Looking at the graph, we find the following values of the function:
• (a), For x = 2 we have f(2) = 0,
,• (b), For x = 1 we have f(1) = 1,
,• (c), For x = 3 we have f(3) = 3,
,• (d) For x = -1 we have f(-1) = 3.
AnswerDomain = (-∞, ∞)
Range = (-3, ∞)
(a) f(2) = 0
(b) f(1) = 1
(c) f(3) = 3
(d) f(-1) = 3
ANSWER THIS!!!!!!!! PLEASEEEEEE!!!!! CLICK ON THIS ONE!!
The line looks like it is around 6, the square root of 61 is 7.810249675906654, so that would be the closest to our estimate.
Answer:
I think the answer is 11
Step-by-step explanation:
because if u count under the lines from one point to another u get 6
then count up from where ur at and u get 5
and then ig just add it up
6+5
look
Find the H.C.F. of 567 and 255 using Euclid’s division lemma.
Step-by-step explanation:
To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:
Step 1: Apply Euclid's division lemma:
Divide the larger number, 567, by the smaller number, 255, and find the remainder.
567 ÷ 255 = 2 remainder 57
Step 2: Apply Euclid's division lemma again:
Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.
255 ÷ 57 = 4 remainder 27
Step 3: Repeat the process:
Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.
57 ÷ 27 = 2 remainder 3
Step 4: Continue until we obtain a remainder of 0:
Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.
27 ÷ 3 = 9 remainder 0
Since we have obtained a remainder of 0, the process ends here.
Step 5: The H.C.F. is the last non-zero remainder:
The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.
Therefore, the H.C.F. of 567 and 255 is 3.
The Collin Freight Company has an order for three products to be delivered to a
destination. Product I requires 10 cubic feet, weighs 10 pounds, and has a value
of $100. Product II requires 8 cubic feet, weighs 20 pounds, and has a value of $20.
Product III requires 20 cubic feet, weighs 40 pounds, and has a value of $200. If the
carrier can carry 6,000 cubic feet, 11,000 pounds, and is insured for $36,900, how
many of each product can be carried?
A , B, C are the amounts of each product
10A + 8B + 20C = 6000 <--- volume constraints
10A + 20B + 40C = 11000 <---- weight constraints
100A + 20B + 200C = 36900 <---- $$$$
What is product?Byproducts are things created in a process, typically one that is industrial or biological, in addition to the main result. A byproduct of the sugar refining process is sulfured molasses.
the first two equations together:
10A + 8B + 20C = 6000
10A + 20B + 40C = 11000
first is subtracted from second: 12B + 20C = 5000 3B + 5C = 1250 —- identifies this equation. ALPHA
Connect the second and third equations:
10A + 20B + 40C = 11000
100A + 20B + 200C = 36900
The top equation is multiplied by 10:
100A + 200B + 400C = 110000 —— Weight restrictions
100A + 20B + 200C = 36900 <—— $$$$
takes them away:
180B + 200C = 73100
18B + 20C = 7310
9B + 10C = 3655 —- identifies this equation. ALPHA BETA: BETA: 9B + 10C = 3655 3B + 5C = 1250
ALPHA is multiplied by 3:
9B + 15C = 3750
9B + 10C = 3655
takes them away:
5C = 95\s C = 95/5 = 19
Plugging into BETA yields the following results: 9B + 10(19) = 3655 9B = 3655 - 190 B = 385
Adds to the initial first equation:
10 A + 8(385) + 20(19) = 6000 A=254\s A=254\sB=385\sC=19
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simplify (3 ^-2)^4
This would help so much, i have to finish this 200 point exam by tonight. THANK YOU IF YOU HELP
Answer:
Simplify the expression.
Exact Form:
1/6561
Decimal Form:
0.00015241
…
Step-by-step explanation:
1/6561
Answer:
1/6561
Step-by-step explanation:
(3^-2)^4
multiply the exponents:-8
3^-8
then make the 3 a fraction to remove the negative 1/3^8 then multiply 1/3, 8times so the answer is 1/6561
Using the CPT manual, code the following: Five MeV of radiation treatment delivery to a single area for primary breast cancer, right female breast
According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.
In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.
The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.
By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.
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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.
In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.
Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.
Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.
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The continuous-time LTI system has an input signal x(t) and impulse response h(t) given as x() = −() + ( − 4) and ℎ() = −(+1)( + 1).
i. Sketch the signals x(t) and h(t).
ii. Using convolution integral, determine and sketch the output signal y(t).
(i)The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. (ii)Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.
i. To sketch the signals x(t) and h(t), we can analyze their mathematical expressions. The input signal x(t) is a linear function with negative slope from t = 0 to t = 4, and it is zero for t > 4. The impulse response h(t) is a quadratic function that opens downward and has roots at t = -1. We can plot the graphs of x(t) and h(t) based on these characteristics.
ii. To determine the output signal y(t), we can use the convolution integral, which is given by the expression:
y(t) = ∫[x(τ)h(t-τ)] dτ
In this case, we substitute the expressions for x(t) and h(t) into the convolution integral. By performing the convolution integral calculation, we obtain the expression for y(t) as a function of t.
To sketch the output signal y(t), we can plot the graph of y(t) based on the obtained expression. The shape of the output signal will depend on the specific values of t and the coefficients in the expressions for x(t) and h(t).
Therefore, by evaluating the convolution integral with the given input signal x(t) and impulse response h(t), we can determine the output signal y(t) and sketch its graph based on the obtained expression.
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2) Slove the equation .2x + 1.2 = .5x
0 .2 x + 1.2 = 0 .5 x
collecting like terms, we have :
0. 5 x - 0 . 2 x = 1 . 2
0. 3 x = 1. 2
Divide both sides , we have:
x = 1 . 2 / 0. 3
x = 4
Opens right, a=3, vertex: (-5, -2)
Answer:
What.... what do you need help with
Step-by-step explanation:
Explanation
ertanyaan
Use the fifth partial sum of the exponential series to approximate each value. Round to three decimal places.
�
−
2.5
e
−2.5
using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).
To approximate the value of e^(-2.5) using the fifth partial sum of the exponential series, we can use the formula:
e^x = 1 + x + (x^2 / 2!) + (x^3 / 3!) + (x^4 / 4!) + ... + (x^n / n!)
In this case, we have x = -2.5. Let's calculate the fifth partial sum:
e^(-2.5) ≈ 1 + (-2.5) + (-2.5^2 / 2!) + (-2.5^3 / 3!) + (-2.5^4 / 4!)
Using a calculator or performing the calculations step by step:
e^(-2.5) ≈ 1 + (-2.5) + (6.25 / 2) + (-15.625 / 6) + (39.0625 / 24)
e^(-2.5) ≈ 1 - 2.5 + 3.125 - 2.60417 + 1.6276
e^(-2.5) ≈ 1.64893
Therefore, using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).
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The area of the circle above is 153.86 units2. What is the circumference of the circle?
Step-by-step explanation:
\(area \: ofa \: circle = \pi {r}^{2} \)
\(\pi {r}^{2} = \frac{22}{7} \times {r}^{2} \\ 153.86 = \frac{22}{7 } \times {r}^{2} \: \: \: \: \: \: \\ {r}^{2} = \frac{153.86 \times 7}{22} \\ {r}^{2} = \frac{1,077.02}{22}\\ r = \sqrt{48.95} \\ = 6.99\)
So let's take r as 7
\(circumference \: of \: a \: circle = 2\pi r\)
\(2\pi r = 2 \times \frac{22}{7} \)
= 2× 22/7 × 7
= 44