The work done in stretching the spring from 10 centimeters to 40 centimeters is 9000 joules.
To determine the work done in stretching the spring from 10 centimeters to 40 centimeters, we need to understand the relationship between force, displacement, and work.
In this case, we are given that a force of 450 newtons stretches the spring by 30 centimeters.
We can use this information to calculate the spring constant (k) using Hooke's Law, which states that the force applied to a spring is directly proportional to the displacement it undergoes.
Hooke's Law: F = kx
Where:
F is the force applied,
k is the spring constant, and
x is the displacement of the spring.
We can rearrange the equation to solve for k:
k = F / x
k = 450 N / 30 cm
k = 15 N/cm
Now that we have the spring constant, we can calculate the work done in stretching the spring from 10 cm to 40 cm using the formula for work:
Work [tex]= (1/2)k(x2^2 - x1^2)[/tex]
Where:
k is the spring constant,
x1 is the initial displacement, and
x2 is the final displacement.
Plugging in the values:
Work [tex]= (1/2)(15 N/cm)(40 cm^2 - 10 cm^2)[/tex]
Work [tex]= (1/2)(15 N/cm)(1200 cm^2)[/tex]
Work [tex]= (1/2)(15 N/cm)(1200 cm^2)[/tex]
Work = 9000 N·cm or 9000 joules (since 1 N·cm = 1 joule)
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Ethan and Calvin meet daily in the elevator. One morning they found that if they multiply their current ages, they get 238. If they did the same after four years, this product would be 378. Determine the sum of the current ages of Ethan and Calvin.
The sum of Ethan and Calvin's current ages is approximately 45.65.
Let's assume Ethan's current age is represented by 'E', and Calvin's current age is represented by 'C'.
From the given information, we can establish the following equations:
The product of their current ages is 238:
E × C = 238
The product of their ages after four years is 378:
(E + 4) × (C + 4) = 378
We can solve this system of equations to determine the values of E and C, and then calculate their sum.
From equation 1, we can express E in terms of C:
E = 238 / C
Substituting this value of E into equation 2:
(238 / C + 4) × (C + 4) = 378
Expanding and simplifying the equation:
(238 + 4C) × (C + 4) = 378
[tex]238C + 952 + 4C^2 + 16C - 378 = 0\\4C^2 + 254C + 574 = 0[/tex]
Now, we can solve this quadratic equation for C using the quadratic formula:
C = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values:
a = 4, b = 254, c = 574
C = (-254 ± √([tex]254^2[/tex]- 4 × 4 × 574)) / (2× 4)
After solving, we find two possible values for C: C ≈ -73.85 and C ≈ -39.65
Since age cannot be negative, we discard the negative value. Thus, C ≈ 39.65.
Plugging this value of C back into equation 1:
E × 39.65 = 238
E ≈ 238 / 39.65
E ≈ 6
Therefore, Ethan's current age (E) is approximately 6 and Calvin's current age (C) is approximately 39.65.
The sum of their current ages is:
6 + 39.65 ≈ 45.65
Hence, the sum of Ethan and Calvin's current ages is approximately 45.65.
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After drawing a square on the board, Mr. Hinkle asked his class to identify the shape. Timothy stated that Mr. Hinkle had drawn a rhombus. Which of the following statements is true?
#8: Expand the logarithm shown below. *
log981xy
In order to expand the properties of logarithms log981x:
log981x = log98 + log1x
One must know that loga + logb = log(ab), and loga + logb = log(ab) may also be represented as loga(b) or logab.
Using this property, we can simplify the expression further:
log981x = log98 + log1x = log9 + log8 + log1 + logx
We know that log9 = 2 and log1 = 0, so we can simplify even further:
log981x = log9 + log8 + log1 + logx = 2 + log8 + 0 + logx = 2 + log8x.
Therefore, the expanded value would be log981x to 2 + log8x.
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A student was given the following diagram and asked to prove that AX= XC.
What would be the reason for the fourth step in the proof?
Given: AB- BC and ZABX 2CBX
Prove: AX XC
Statements
1. AB BC and ZABXZCBX
2. BX BX
3. AABXACBX
4. AXEXC
B
X
Reasons
Given
Reflexive Property of Equality
SAS Triangle Congruence Theorem
A. Definition of perpendicular bisector
B. Substitution property of equality
C. Corresponding parts of congruent triangles are congruent
(CPCTC)
D. Definition of midpoint
K
The reason for the fourth step to prove the congruence of [tex]\overline{AX}[/tex] and [tex]\overline{XC}[/tex], based on the congruence of the triangles ΔABX and ΔCBX is the option C.
C. Corresponding parts of congruent triangles are congruent (CPCTC)
What are congruent triangles?Congruent triangles are triangles that have the same shape and size.
The completed two column table to prove the congruence of the segment [tex]\overline{AX}[/tex] and [tex]\overline{XC}[/tex] can be presented as follows;
Statement [tex]{}[/tex] Reasons
1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] and ∠ABX ≅ ∠CBX [tex]{}[/tex] Given
2. [tex]\overline{BX}[/tex] ≅ [tex]\ovderline{BX}[/tex] [tex]{}[/tex] Reflexive property of Equality
3. ΔABX ≅ ΔCBX [tex]{}[/tex] SAS Triangle Congruence Theorem
4. [tex]\overline{AX}[/tex] ≅ [tex]\overline{XC}[/tex] [tex]{}[/tex] CPCTC
The reason for the fourth step can be presented as follows;
CPCTC is an acronym for corresponding parts of congruent triangles are congruent. The triangles ΔABX and ΔCBX are congruent, therefore, CPCTC indicates that the segments [tex]\overline{AX}[/tex] and [tex]\overline{XC}[/tex] which are corresponding parts are therefore congruent.
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Dakota is a quality control manager for a manufacturing plant that produces batteries for tablet computers. Based on prior history, Dakota knows that 0.6% of all tablet computer batteries produced are defective. He selects a random sample of n=1,200 tablet computer batteries from a recently produced lot and tests each battery to determine whether it is defective. What is the probability that Dakota finds 5 or fewer defective batteries? Use a TI-83, TI-83 plus, or TI-84 calculator to find the probability.
Round your answer to four decimal places.
Using binomial probability, the probability is 0.8897
What is the probability that Dakota finds 5 or fewer defective batteries?Using binomial probability formula, we can determine the number of defective batteries
In this case, n = 1,200 (the sample size) and p = 0.006 (the probability of finding a defective battery).
We want to find the probability of finding 5 or fewer defective batteries, which is equivalent to finding the cumulative probability up to 5.
Let's calculate this probability:
P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
Using the binomial probability formula:
[tex]P(X = k) = C(n, k) * p^k * (1 - p)^(^n ^- ^k^)[/tex]
where C(n, k) represents the number of combinations of n items taken k at a time.
Plugging the values and solving;
P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) =
[tex]C(1200, 0) * 0.006^0 * (1 - 0.006)^(^1^2^0^0 ^- ^0^)\\+ C(1200, 1) * 0.006^1 * (1 - 0.006)^(^1^2^0^0 ^- ^1^)\\+ C(1200, 2) * 0.006^2 * (1 - 0.006)^(1^2^0^0 ^- ^2^)\\+ C(1200, 3) * 0.006^3 * (1 - 0.006)^(^1^2^0^0 ^- ^3)\\+ C(1200, 4) * 0.006^4 * (1 - 0.006)^(^1^2^0^0 ^- ^4)\\+ C(1200, 5) * 0.006^5 * (1 - 0.006)^(^1^2^0^0 ^- ^5^)[/tex]
To calculate these probabilities, we need to use a combination formula to determine the number of combinations. The combination formula is given by:
C(n, k) = n! / (k! * (n - k)!)
Now let's calculate the probability:
[tex]P(X \leq 5) = \\C(1200, 0) * 0.006^0 * (1 - 0.006)^(^1^2^0^0 ^- ^0^)\\+ C(1200, 1) * 0.006^1 * (1 - 0.006)^(^1^2^0^0 ^- ^1^)\\+ C(1200, 2) * 0.006^2 * (1 - 0.006)^(^1^2^0^0 ^- ^2^)\\+ C(1200, 3) * 0.006^3 * (1 - 0.006)^(^1^2^0^0 ^- ^3^)\\+ C(1200, 4) * 0.006^4 * (1 - 0.006)^(^1^2^0^0 ^- ^4^)\\+ C(1200, 5) * 0.006^5 * (1 - 0.006)^(^1^2^0^0 ^- ^5^)[/tex]
Using a calculator or statistical software to perform the calculations, we find that the probability is approximately 0.8897 when rounded to four decimal places
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer: D
Step-by-step explanation: -135
A number b increased by 2 is less than -30 as an inequality
Answer:
b + 2 < -30
Step-by-step explanation:
But if it needs to be simplified the answer is b < -32
100 Points! Multiple choice geometry. Photo attached. Thank you!
8. Option (A) is correct as line XB is a radius
9. Option (D) is correct as line BD is a tangent line
What is the radius and tangent of the circleThe radius is the straight line from the center of the circle to the circumference and according to the tangent to a circle theorem, a line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency
8. The only option that represents a radius is the line from the center X to the point B on the circle circumference.
9. The line from the point B to the point D is called is a tangent to the circle
Therefore, line XB is a radius and line BD is a tangent line.
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Which is the equation for the function shown? A parabola that opens upward graphed on a coordinate plane. The vertex is negative 1, negative 2, and the parabola passes through the points negative 3, 2, and 1, 2. A. f(x) = (x − 1)2 + 2 B. f(x) = (x + 1)2 − 2 C. f(x) = (x − 2)2 + 1 D. f(x) = (x + 2)2 − 1
The equation for the function shown is f(x) = (x + 1)² - 2. Option B
How to determine the equationFrom the information given, we have the deductions;
The vertex of the parabola is given as (-1, -2)
Using the form;
f(x) = a(x - h)^2 + k
Such that (h, k) represents the vertex coordinates.
Substitute the vertex coordinates into formula, we get;
f(x) = a(x - (-1))² + (-2)
= a(x + 1)² - 2
Now, substitute the value for a, we get;
2 = a(-3 + 1)² - 2
find the square and collect like terms
4 = a(4)
a = 1
Put value back into the equation
f(x) = 1(x + 1)² - 2
Multiply the value, we get;
f(x) = (x + 1)² - 2
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Enter the number that belongs in the green box. 4 51° 109°
The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.
What is the length of the longest side?It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.
Consequently, it follows from the sine law that;
4 / sin 20° = x / sin 109°
x = 4 sin 109° / sin 20°
x = 11.06.
Ultimately, the number that belongs in the green box is; 11.06.
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A native wolf species has been reintroduced into a national forest. Originally, 46 wolves were transplanted. Assuming that the population is growing exponentially at a rate of 5.6%, how long will it take for the population to reach 150 wolves? Round your answer to the first decimal place.
What is the meaning of "Once we give up the full Comprehension Schema, Russell’s Paradox is no longer a threat"?
The statement "Once we give up the full Comprehension Schema, Russell's Paradox is no longer a threat" implies that by leaving out the unrestricted version of the Schema of Comprehension (which gives room for the construction of sets based on any property), one can be able to avoid meeting up Russell's Paradox.
What is the meaning of the phrase?
Russell discovered the contradiction that arises when analyzing the collection of sets that lack themselves as components. A contradiction arises due to the paradoxical situation of attempting to ascertain if the set includes itself or not.
By adopting the Subset Schema, which limits the creation of sets based on certain criteria, we can steer clear of the paradox and depart from the comprehensive Comprehension Schema.
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Explain where the hands of an analog clock point at 1:27.
The hands of an analog clock point at 1:27 is at 1o'clock position
How to determine the pointAt 1:27 on an analog clock, the hour hand focuses straightforwardly at the numeral "1" on the clock confront, demonstrating that it is within the 1 o'clock position.
The miniature hand, on the other hand, focuses between the numerals "2" and "3" on the clock confront, roughly midway between them.
Since there are 60 minutes in an hour and the diminutive hand moves around the clock confront at a consistent rate, it shows that 27 minutes have passed since the hour started.
Hence, the miniature hand is closer to the numeral "3" but not however at it. The moment hand may be anyplace on the clock confront, because it moves persistently.
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What is the meaning of "[tex] Y^{X}\subset P(X \times Y) [/tex]"?
It implies that the collection of all ordered pairs (x, y) formed by taking an element from the set x and an element from the set y is a subset of the set containing all possible subsets of the Cartesian product of sets X and Y.
The expression "y^x ⊂ p(X x Y)" represents a subset relationship between two sets.
Let's break it down:
"y^x" represents the set of all possible ordered pairs (x, y) where x is an element of the set x and y is an element of the set y. This set represents the Cartesian product of the sets x and y.
"⊂" denotes a subset relationship. If we have two sets A and B, A ⊂ B means that every element in A is also an element of B. In other words, A is a subset of B.
"p(X x Y)" represents the power set of the Cartesian product of sets X and Y. The power set of a set is the set of all possible subsets of that set.
Therefore, "y^x ⊂ p(X x Y)" means that the set of all possible ordered pairs (x, y) where x is an element of the set x and y is an element of the set y is a subset of the power set of the Cartesian product of sets X and Y.
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A pine cone is 60 feet above the ground when it falls from a tree. The height h (in feet) of the pine cone
above the ground can be modeled by h = -16t2+ 60, where t is the time (in seconds) since the pine
cone started to fall.
a. Solve the equation for t. Write your answer in simplest form.
t=
b. After how many seconds will the pine cone be 20 feet above the ground? Round your answer to the
nearest hundredth.
The pine cone is 20 feet above the ground after about ____
seconds.
The pine cone is 20 feet above the ground after about 1.58 seconds.
To solve the equation h = -16t² + 60 for t, we can rearrange the equation as follows:
-16t² + 60 = h
Subtract 60 from both sides:
-16t² = h - 60
Divide both sides by -16:
t² = (h - 60) / -16
Take the square root of both sides:
t = ±√((h - 60) / -16)
Since time cannot be negative in this context, we can ignore the negative square root:
t = √((h - 60) / -16)
We are given that the pine cone is 20 feet above the ground, so we substitute h = 20 into the equation:
t = √((20 - 60) / -16)
Simplifying:
t = √(-40 / -16) = √(2.5)
t = 1.58 seconds
Therefore, the pine cone is 20 feet above the ground after about 1.58 seconds.
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Question 3 of 10
The slope of the line below is 4. Which of the following is the point-slope form
of the line?
(-3,-4)
A. y+4= -4(x+3)
B. y-4 = -4(x-3)
C. y+ 4 = 4(x+3)
D. y-4 = 4(x-3)
Answer:
C. y + 4 = 4(x+3)
Step-by-step explanation:
Point slope form: y-y1 = m(x-x1)
Substitute the given slope 4 and point (-3, -4)
y-(-4) = 4(x - (-3))
Simplify
y + 4 = 4 (x+3)
In the figure, if I and K are parallel lines, what is the value of x+y in degrees?
Based on the figure, if I and K are parallel lines, the value of x+y in degrees is 62°.
The correct answer choice is option A.
What is the value of x+y in degrees?From the diagram
x + 149° = 180° (Sum of angle on a straight line)
x = 180° - 149°
x = 31°
Also,
y = 31° (alternate angles are equal)
Therefore,
x + y = 31° + 31°
= 62°
Hence, the sum of angle x and angle y is 62°.
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I need help with this.
Answer:
Step-by-step explanation:
Area of parallelograph = bh
b=20 h =42
A=(20)(42) = 840 mm²
Which expression is equivalent to -32^3/5
The expression which is equivalent to -32^3/5 is -32768 / 125.
We are given that;
Expression=-32^3/5
Now,
To find an equivalent expression for -32^3/5 is to use the property of exponents that says [tex](a/b)^n = a^n / b^n.[/tex] Applying this property, we get:
-32^3/5 = (-32)^3 / 5^3
Now we can simplify the numerator and denominator by cubing them:
-32^3/5 = -32768 / 125
This is an equivalent expression for -32^3/5. There may be other ways to find equivalent expressions, such as factoring or using common denominators.
Therefore, by the expression the answer will be -32768 / 125.
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Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
[tex]\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o[/tex]
Make sure your calculator is in Degree mode.
Please help ASAP 7p-13p+4-5p
Hello!
[tex]7p-13p+4-5p\\\\= 7p-13p-5p+4\\\\= -6p-5p+4\\\\\Large\boxed{= -11p + 4}[/tex]
You are asked to use the grouping method to factor x^2 - 12x + 13
How should the term -12x be rewritten?
A) 1x +35x
B)-5x -7x
C) 5x+7x
D) -1x-35x
The zeros of this expression are irrational, so it cannot be factored using integers.
When factoring a quadratic expression, we are trying to express it as the product of two binomial factors.
In some cases, such as when the quadratic has irrational zeros, it may not be possible to factor it using integers.
In the case of the quadratic expression x² - 12x + 13, the discriminant (b^2 - 4ac) is equal to (-12)² - 4(1)(13)
= 144 - 52
= 92.
Since the discriminant is positive and not a perfect square, the zeros of the quadratic are irrational.
This means that the expression cannot be factored into two binomial factors with integer coefficients.
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Miguel is going camping with 3 friends. He packed sandwiches for everyone to share equally. How many sandwiches did Miguel pack for each camper?
Miguel has 3 friends and he packed sandwiches for everyone to share equally means that Miguel packed 3 sandwiches for each camper.
How to determine amount?If Miguel packed 4 sandwiches, then he would have packed 1 sandwich for each camper:
Number of sandwiches per camper = Total number of sandwiches / Number of campers
There are 4 campers, so plug that into the equation to get:
Number of sandwiches per camper = Total number of sandwiches / 4
Solve for the total number of sandwiches by multiplying both sides of the equation by 4:
Total number of sandwiches = Number of sandwiches per camper × 4
So, the total number of sandwiches is 4 × Number of sandwiches per camper.
Each camper will get 1 sandwich, so plug that into the equation to get:
Total number of sandwiches = 1 × 4
Which means there are a total of 4 sandwiches.
Therefore, Miguel packed 1 sandwich for each camper.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
To determine the radius of each wheel, we can use the formula for the circumference of a circle:
Circumference = 2πr,
where "Circumference" represents the circumference of the wheel and "r" represents the radius of the wheel.
Given that the circumference of each wheel is 22 inches, we can set up the equation as follows:
22 = 2πr.
To solve for the radius, we'll isolate "r" by dividing both sides of the equation by 2π:
22 / (2π) = r.
Using a calculator for the approximation, we get:
r ≈ 3.5 inches.
Therefore, to the nearest length, the radius of each wheel is approximately 3.5 inches.
Answer:
C) 3.5 inch
Step-by-step explanation:
Can u help me please fill in the square
The equation of the circle is (x + 4)² + (y - 1)² = 81
Given is an equation of a circle we need to convert it in standard form,
x² + y² + 8x - 2y = 64,
To convert the equation of a circle to standard form, you need to complete the square for both the x and y variables.
The standard form of a circle equation is:
(x - h)² + (y - k)² = r²
where (h, k) represents the center of the circle, and r represents the radius.
Let's convert the given equation to standard form step by step:
x² + y² + 8x - 2y = 64
Rearrange the equation to group the x-terms and y-terms:
x² + 8x + y² - 2y = 64
Now, complete the square for the x-terms.
Take half of the coefficient of x (which is 8 in this case), square it, and add it to both sides of the equation:
x² + 8x + 16 + y² - 2y = 64 + 16
Simplify:
(x + 4)² + y² - 2y = 80
Complete the square for the y-terms.
Take half of the coefficient of y (which is -2 in this case), square it, and add it to both sides of the equation:
(x + 4)² + y² - 2y + 1 = 80 + 1
Simplify:
(x + 4)² + (y - 1)² = 81
Now, the equation is in standard form, with the center at (-4, 1) and a radius of √81 = 9.
Hence the equation of the circle is (x + 4)² + (y - 1)² = 81
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For what value of x is the rational expression below equal to zero?
x-9
(x-4)(x+4)
OA. -4
B.
C.-9
D. 9
SUBMIT
The value of x is 9
To find the value of x for which the rational expression is equal to zero, we need to set the numerator equal to zero:
x - 9 = 0
Solving for x:
x = 9
Therefore, the value of x = 9.
Looking at the denominator (x - 4)(x + 4), we see that it contains two factors: (x - 4) and (x + 4). For the entire expression to equal zero, either the numerator or one of the factors in the denominator must equal zero.
Setting each factor in the denominator equal to zero:
x - 4 = 0 or x + 4 = 0
x = 4 or x = -4
These are the valid values of x for which the rational expression is equal to zero.
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In the figure below, S is the center of the circle. Suppose that JK = 20, LM = 3x + 2, SN = 12, and SP = 12. Find the
following.
The values are x = 2 and NS = 3.5.
Given is a circle with center S, we need to find the missing measure,
K = 16, MP = 8, LP = 2x+4, and PS = 3.5, we need to find the measures of x and NS.
We know that the perpendicular drawn from the center of a circle bisect the chords into two halves,
And the perpendiculars are congruent.
Therefore,
MP = PL
2x+4 = 8
x+2 = 4
x = 2
Also,
NS = PS
So, NS = 3.5
Hence the values are x = 2 and NS = 3.5.
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WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
This scale drawing shows a enlargement in a figure.
What is the value of x?
Enter your answer in the box.
X =
Answer:
18
Step-by-step explanation:
is a 1/3 scale
6-12-?
8-16-24
simple :)
If you reflect AFGH across the y-axis, What will be the coordinates of the vertices of the image AFGH?
The coordinates of the vertices of the image F'G'H' after reflecting FGH across the y-axis are:
F' = (2, -1)
G' = (-2, 2)
H' = (-4, -3)
We have,
When reflecting a point across the y-axis, the x-coordinate of the point is negated while the y-coordinate remains the same.
Applying this transformation to each vertex, we get:
F' = (-(-2), -1) = (2, -1)
G' = (-(2), 2) = (-2, 2)
H' = (-(4), -3) = (-4, -3)
Therefore,
The coordinates of the vertices of the image F'G'H' after reflecting FGH across the y-axis are:
F' = (2, -1)
G' = (-2, 2)
H' = (-4, -3)
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Shannon's living room is a 12 by 18 foot rectangle. She wants to cover
as much of the floor as possible with 6 foot diameter circular rugs
without overlap. How much of the living room floor space can Shannon
cover with the circular rugs to the nearest square foot?
(Use π = 3.14)
A) 170 ft²
B) 216 ft²
C) 386 ft²
D) 678 ft²
Answer:
First, we need to figure out how many circular rugs can fit in the living room without overlap.
One way to approach this is to find the area of each circular rug (using the formula A = πr^2, where r = 3 feet since the diameter is 6 feet).
A = π(3)^2 = 28.26 square feet
Next, we can find the area of the living room:
A = 12 x 18 = 216 square feet
To figure out how many circular rugs can fit, we can divide the living room area by the rug area:
216/28.26 ≈ 7.64
Since we can't have partial rugs, we need to round down, which means Shannon can fit 7 circular rugs in her living room without overlap.
The total area covered by the circular rugs would be:
7 x 28.26 = 197.82 square feet
Therefore, the closest answer choice to the nearest square foot is A) 170 ft².
Answer:A
Step-by-step explanation:
She can put 2 circles together width wise because 6+6 = 12
She can put 3 circles together length wise because 6+6+6 = 18
So she can put 6 circles in total.
The area of one circle is found with the equation A=πr^2
The diameter is 6ft, so the radius is 3ft, so
A=π*3ft^2
A=28.26ft²
This is the area of one circle. We need to find the area of 6 because 6 can fit in total.
28.26ft² * 6= 169.56 ft²