All such strings if no repeats are allowed, meaning each of A, B, or C is used once then the total number of combinations is 13.
An array is a collection of elements that are ordered and can be accessed through indices.
In this case, we are dealing with arrays of character strings, where each string is a sequence of letters. In this problem, there are three possibilities for the characters that can appear in each string: A, B, or C.
(a) Three character strings where repeats are allowed:
Tree:
List: AAA, AAB, ACC, ABA, ABC, ACA
Number of items on list: 6
(b) Three character strings where repeats are not allowed in a row:
List: AB, AC, BAC, BCA, CAB, CBA
Number of items on list: 6
(c) Three character strings with no repeats allowed:
Tree:
ABC
List: ABC
Number of items on list: 1
So, the total number of items on the list is calculated as,
=> 6 + 6 + 1.
=> 13
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need help with this question
For the graph of the cubic root function, the function has no intercept.
What is the cartesian plane?The cartesian plane is a two-dimensional coordinate plane that is formed when two parallel lines meet. The X-axis is the horizontal line, and the Y-axis is the vertical line. On the Cartesian plane, the coordinate point (x, y) indicates that the point is on the right of the origin if the sign of x is positive; otherwise, the point is on the left of the origin.
Given the graph of the cubic root function,
The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
the function of the graph is y = ∛x
when x = 0, y = 0
the function does not have any intercept.
Hence option C is correct.
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Drag numbers to the table so it shows a proportional relationship between x and y
16 is the number which shows a proportional relationship between x and y.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
the ratio of x:y = 0.8 : 4
let, the number for y be a
so that, x: y is proportional .
i.e. 3.2 : a = 0.8 : 4
or, a = 16
Hence, 16 is the solution.
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64
86
Homework Score Test Score
73
74
86
54
9. [3 POINTS]
According to the linear model that BEST fits the data, write the linear regression equation that represents this set of data,
rounding all coefficients to the nearest tenth.
Equation:
Using this equation, find the projected test score, to the nearest integer, for a student with a
homework score of 45.
The linear regression equation that best fits the data is given as follows:
y = 1.2x - 21.3.
Hence the projected test score for an student with a homework score of 45 is given as follows:
32.7.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
The points for this problem are given as follows:
(78, 66), (89, 76), (54, 42), (86, 90), (74, 68), (73, 73), (86, 84), (63, 54), (64, 54)
Inserting these points into the calculator, the line of best fit is given as follows:
y = 1.2x - 21.3.
The projected test score for an student with a homework score of 45 is found replacing x by 45, hence:
y = 1.2(45) - 21.3
y = 32.7.
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The bearing of point Y from point X is 065⁰. The bearing of point Z from point Y is 140°. The bearing of point Z from point X is 100°. Find the bearing of point X from point Z.
The bearing of point X from point Z is 280°
How to solve the bearingTo find the bearing of point X from point Z, we need to use the principle of alternate angles in each point and sum of angles of a triangle
The triangle formed is as follows
angle x = 100 - 65 = 35
angle y = (180 - 140) + 65 = 105
angle z = 180 - angle y + angle x = 180 - 35 + 105 = 40
The bearing of point X from point Z,
= 360 - angle z - alternate angle from y
= 360 - 40 - 40
= 280
Bearing of X from Z = 280
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what is the missing length? 9mm area=153mm
Answer: 17mm
Step-by-step explanation: 153/9 is 17
question content area top part 1 let a1 , a2 , and b . for what value(s) of h is b in the plane spanned by a1 and a2?
The value of h for which b in the plane spanned by a1 and a2 is 11.
A vector b is in the plane spanned by two vectors a1 and a2 if it can be written as a linear combination of a1 and a2. This means that there exist scalars x and y such that:
b = xa1 + ya2
[5, 4, h] = x[1, 4, -1] + y[-6, -20, 2]
Solving for x and y, we have:
5 = x - 6y
4 = 4x - 20y
h = -x + 2y
Using the first two equations, we can solve for x and y:
x = 5 + 6y
20y + 4 = 4x = 4(5 + 6y)
20y + 4 = 20 + 24y
4y = -16
y = -16/4 = -4
Substituting this value of y back into the first equation:
x = 5 + 6y
= 5 + 6 * -4
= 5 - 24
= -19
Finally, substituting x and y into the third equation:
h = -x + 2y
= -(-19) + 2 * (-4)
= 19 - 8
= 11
So for h = 11, the vector b is in the plane spanned by a1 and a2.
--The question is incomplete, answering to the question below--
"Let a1 = [1 4 -1], a2 = [-6 -20 2], and b = [5 4 h]. For what value(s) of h is b in the plane spanned by a1 and a2?"
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Pls help with the math
6⋅2+6 to the power of 4
Answer:
104976
Step-by-step explanation:
First multiply 6 by 2 and you get 12. Now add 6 to it and you get 18. Now power 18 to 4
18 times 18 times 18 times 18
and you get 104976
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.The graph represents which system of inequalities?
The graph represents this system of inequalities:
F. y ≤ −x + 4
G. y ≤ 3x − 1
What is the point-slope form?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear equation representing the line of f(x) which passes through the points (0, 4) and (4, 0) by using the point-slope form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 0 = (4 - 0)/(0 - 4)(x - 4)
y - 0 = -1(x - 4)
y = -x + 4
Therefore, an inequality representing the line of f(x) is y ≤ -x + 4
For the line of g(x), we have:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-1) = (5 - (-1))/(2 - 0)(x - 0)
y + 1 = 3(x - 0)
y = 3x - 1
Therefore, an inequality which represents the line of g(x) is y ≤ 3x - 1.
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Complete Question:
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line. The graph represents which system of inequalities?
y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4
question content area top part 1 limits of the form limh→0 f(x h)−f(x) h occur frequently in calculus. evaluate this limit for the given value of x and function f. f(x)=x2, x=
The limit as h→0 of f(x+h) − f(x) / h is 0. the denominator of the fraction is 0, the limit is undefined.
To evaluate this limit, we need to plug in the given value for x and the function f(x). We are given that f(x) = x2 and x = 3.
Therefore, we have:
limh→0 f(3+h)−f(3) h
Since f(3) = 3^2 = 9, we can rewrite the limit as:
limh→0 f(3+h)−9
We can now plug in the value of h=0 to get the value of the limit:
limh→0 f(3+0)−9 0
Since the denominator of the fraction is 0, the limit is undefined.
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Judy uses 7.5 pints of white paint and blue paint to paint her bedroom walls.
3/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Step-by-step explanation:
3/4*7.5
5.625
7.5-5.625
1.875
of blue pints
need a little help with Surface Area of Pyramids
The surface area of square pyramid is 207.04 square inches.
What is surface area?Surface area is the area of all outer facing surfaces on an object. The total surface area is calculated by adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.
The formula to find the surface area of square pyramid is A=a²+2a√(a²/4+h²)
Here, a=8 inches and h=8 inches
Now, A= a²+2a√(a²/4+h²)
A= a²+2a√(a²/4+h²)
A= 8²+2×8√(8²/4+8²)
A= 64+16√(16+64)
A= 64+16√80
A= 64+16×8.94
A= 207.04 square inches
Therefore, the surface area of square pyramid is 207.04 square inches.
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find a value of c that makes the following function continuous at x=0. explain why the value of c works. f(x)= 12x−4sin(3x) 5x3, x≠0 c, x=0
The value of c for the given function at x = 0 to be continuous is c = 8/15.
Condition of ContinuityThe following three requirements must all be met for a function to be regarded as continuous at a point:
The point defines the function.As x gets closer to the point, the function has a limit that exists.As x moves closer to the point, the value of the function at that location equals the function's limit.In other words, a function is continuous at a place if you can draw it without moving your hand and the function's graph doesn't have any gaps or leaps at that location. Calculus' central idea of continuity is crucial for defining derivatives and integrals.
According to the question
Given function = f(x)= 12x−4sin(3x)/5x3
We require f(0) = c, where c is the value given to the function at x = 0, in order to make the function continuous at that point. We may assess the limit of f(x) as x gets closer to zero to determine c.
The limit of f(x) as x approaches 0 may be determined using L'Hopital's rule as follows:
lim x→0 f(x) = lim x→0 (12x - 4 * sin(3x)) / (5x^3)
= lim x→0 (12 - 4 * 3 * cos(3x)) / (15x^2)
= 8 / 15.
So, c = 8 / 15. Therefore, the function f(x) = (12x - 4 * sin(3x)) / (5x^3), x ≠ 0 and c, x = 0 is continuous at x = 0 with c = 8 / 15.
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which of the following pairs of variables has an inverse relationship?
The pair of variables with an inverse relationship is y = 1/x. This relationship can be seen by graphing the two variables on a coordinate plane and observing the shape of the graph.
As x increases, y decreases and as x decreases, y increases. This is because the equation y = 1/x can be written as y = c/x, where c is a constant. Since c is a constant, as the value of x increases, the value of y decreases, and vice versa.
For example, if x = 4, then y = 1/4, or 0.25. If x increases to 8, then y decreases to 1/8, or 0.125. On the other hand, if x decreases to 2, then y increases to 1/2, or 0.5. As can be seen, as x increases, y decreases, and as x decreases, y increases, which shows the inverse relationship between the two variables.
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find the area of the region that is bounded above by the curve f(x)=(x 9)2 and the line g(x)=−x−7 and bounded below by the x-axis. enter your answer as an exact answer.
The area bounded by the given curve is =4.44.
There are several ways to calculate the area under the curve, but the antiderivative approach is the most widely used. Knowing the curve's equation, its bounds, and its enclosing axis will allow you to determine the area under the curve. In general, there are formulas for calculating the areas of standard shapes like squares, rectangles, quadrilaterals, polygons, and circles, but there isn't one specifically designated for calculating the area beneath curves. The integration method aids in equation solution and area determination.
The antiderivative methods are highly useful for locating the regions of irregular plane surfaces. In this lesson, we'll learn how to calculate the curve's area under the axis.
the area of the region that is bounded above by the curve f(x)=(x- 9)2 and the line g(x)=x−7.
The area enclosed by the curves is-
[tex]A=\int_a^b[{f(x)-g(x)]dx[/tex]
[tex](x-9)^2=x-7\\\\x^2-19x+88=0\\(x-8)(x-11)=0\\x=8 , x=11\\\\\int_8^{11}[(x-9)^2-(x-7)]dx\\\\=\int_8^{11}[x^2-19x+88]dx\\\\\\=[x^3/3-19x^2/2+88x]_8^{11}\\\\=4.44[/tex]
The area bounded by the given curve is =4.44.
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What is the percent decrease?
92% is the percent of decrease.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function [tex]M(t)=975.(0.92)^{t}[/tex]
Function represents the number of milligrams of a medication in a patients body as a function of time.
t represents the time.
0.92×100=92%
975 is the initial value and 0.92 is the percent of decrease.
Hence, 92% is the percent of decrease.
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A community center offers yoga classes for $8 per month plus an additional $0. 25 per center floor mat used.
Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.
Enter the correct answer in the box
The required equation is C = 8 + 0.25m, where m represents the number of mats used per month and C represents the total cost in dollars.
Let's use "m" to represent the number of center floor mats used per month, and "C" to represent the total cost in dollars. The total cost can be expressed as the sum of a fixed monthly fee of $8 and an additional fee of $0.25 per center floor mat used:
C = 8 + 0.25m
This equation expresses the relationship between the number of center floor mats used (m) and the total cost (C) in dollars.
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(2x+15) What is the measure, in degrees, of angle D ?
The measure of angle D is ∠D = 65°.
What are similar triangles?Two triangles are said to be similar if there corresponding sides are proportional and their corresponding angles are equal.
Given is that triangle ΔABC is similar to triangle ΔDEF.
We can write -
∠D + x + 90° = 180°
∠D = 90° - x
Since both the triangles are similar, we can write -
∠D = ∠A
{90° - x} = {2x + 15}°
3x = 75°
x = 25°
∠D = 90 - x = 65°
∠D = 65°
Therefore, the measure of angle D is ∠D = 65°.
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let f(x) = x^2 4x for what value of x is f(f(x)) = f(x)
The value of the variable x for the function f(x) = x² + 4x for which
f(f(x) ) = f(x) is equal to x = -1 or x = -3.
The function f(x) = x² + 4x
Substitute the value in the required function we get,
Right hand side
= f ( f(x))
= f ( x² + 4x )
= ( x² + 4x )² + 4 ( x² + 4x )
= x⁴ + 8x³ + 16x² + 4x² + 16x
= x⁴ + 8x³ + 20x² + 16x
Left hand side
f(x)
= x² + 4x
Equate left hand side is equal to right hand side we get,
x⁴ + 8x³ + 20x² + 16x = x² + 4x
⇒x⁴ + 4x³ + 4x³ + 16x² + 4x² + 16x = x² + 4x
⇒x² ( x² +4x ) + 4x ( x² + 4x )+ 4 ( x² + 4x ) = x² + 4x
⇒( x² + 4x ) ( x² + 4x + 4 ) = x² + 4x
⇒ x² + 4x + 4 = 1
⇒ ( x + 2 )² - 1² =0
⇒ ( x + 2 -1 ) ( x+ 2 + 1) = 0
⇒ ( x+ 1 ) ( x+ 3 ) = 0
⇒ x = -1 or x = -3
Therefore, the value of x = -1 or x = -3 for the condition f(f(x)) = f(x).
The above question is incomplete , the complete question is:
Let function f(x) = x² + 4x for what value of x is f(f(x)) = f(x).
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this is due tomorrow pls help
The angle that is a vertical angle to AEB is CED.
What is a vertical angle to AEB?When we have the intersection of two lines, we define the vertical angles as the pair of angles that share a vertex and don't share sides.
So these angles are only connected by the vertex.
So a vertical angle to AEB should also have the vertex E, and no common sides to AEB, the only angle that meets that requiriment is CED.
Then we conclude that the vertical angle to AEB is CED.
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In an arithmetic sequence, U1 3 1.3, U2 = 1.4 and Uk = 31.2 Consider the terms, Un; of this sequence such that n < k. (a) Find the value of k (6) Find the exact value of Sk'
The value of k given sequence is =300 and the value of the term Sk=4875,
In mathematics, we may come across different types of numbers, and patterns. One of the number patterns includes sequences. The sequence is a specified collection of objects in which repetitions are allowed and order matters. Formally, a sequence is a function from natural numbers to the elements at each position. Similar to a set, it contains members, and they are called elements or terms. The number of elements is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and the order does matter.
value of k
U1 =1.3
U2= 1.4
Uk = 31.2
a = 1.3
d = 1.4 - 1.3 = 0.1
Uk = 1.3 + (k - 1)(0.1)
=> 1.3 + (k - 1)(0.1) = 31.2
=> (k - 1)(0.1) = 29.9
=> k - 1 = 299
=> k = 300
Sk = (300/2)(1.3 + 31.2)
= 150 * (32.5)
= 4875
F is the sum of the terms for which the term is not a multiple of 3
3rd term = 1.5
6th term = 1.8
300th term = 31.2
Total terms = 100
Sum = (100/2)(1.5 + 31.2) = 1635
F = 4875 - 1635 = 3240
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Sam need to catc the 8 a. M. Bu to get to work on time. The probability that Sam overleep i 0. 6. When Sam overleep, the probability that he mie the bu i 0. 8. When Sam doe not overleep, the probability that he mie the bu i 0. 3. Calculate the probability that Sam catche the bu
Probability determines the likelihood of an event occurring: P(A) = f / N
How to Calculate the probability?P(A) = f / N indicates the likelihood of an event occuring. Odds and probability are connected, but odds are affected by probability. Before calculating the chances of an event occurring, you must first calculate probability.
Finding the chance of a simple event occurring is simple: add the probabilities together. For instance, if you have a 10% chance of winning $10 and a 25% chance of winning $20, your total chances of winning are 10% + 25% = 35%. According to probability, heads have a 12 chance, thus we may expect 50 heads. But when we attempt it, we could get 48 heads, or 55 heads, or anything else, but in most circumstances, we’ll get something close to 50.
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Line passes through the points (-4,-7) and (2,-3) on the coordinate plane.
Line passes through the points (-4, 1) and (2, t).
(9)
For what value of w is line m parallel to line l
The value of t for which the linear functions are parallel is given as follows:
t = 5.
When are linear functions?Linear functions are parallel when they have the same slope.
Given two points, the slope is calculated as the change in y divided by the change in x.
Considering points (-4, -7) and (2,-3), the slope is given as follows:
m = (-3 - (-7))/(2 - (-4)) = 4/6.
Considering points (-4,1) and (2,t), the slope is given as follows:
m = (t - 1)/(2 - (-4)) = (t - 1)/6.
The two lines will be parallel when:
4/6 = (t - 1)/6.
Hence the value of x is obtained as follows:
t - 1 = 4.
t = 5.
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Edward is flying a kite on a beautiful sunny day at the beach. He knows that flying his kite at an angle of elevation of 40° is best, as he is a professional. If he's got all 100 meters of his kite string let out, what is the height of his kite on this blustery day? Round to the tenths place.
The height of his kite on this blustery day if an angle of elevation is 40°, 64.3 meter
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
Edward is flying a kite on a beautiful sunny day at the beach,
An angle of elevation of 40°
kite string let out = 100 meter
The height of his kite = ?
Suppose, height = h
if we consider horizontal distance of kite from the Edward and Vertical distance from the Edward
It will form a right angle triangle
Now, we can use sine formula in the right angle triangle,
α = 40°
L = 100 meter
h = ?
It is known that,
sinα = height/hypotenuse
sin40° = h/100
h = 0.643 x 100
= 64.3
Hence, the height of kite is 64.3 meter
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A pyramid and a prism both have heights 8.2 cm and congruent hexagonal bases with area 22. 3 cm cube. What is the ratio of their volumes?
The ratio of their volumes is 3: 1
What is the volume ratio between them?If two solids are identical, their volume ratio is equal to the cube of their corresponding side ratio. (It should be noted that volume is a 3-D measurement, not a “length” measurement. When the base and height of a pyramid and a prism are the same, their volumes are always in the ratio of 1:3Volume of prism.
A triangular prism and a triangular pyramid with identical bases and heights with the volume of the prism being three times that of the pyramid. Students should use manipulatives such as water, rice, or beans to physically represent this connection.
The volume of a prism =Base Area× Height and Volume of Pyramid = 1/3 × base area × Height
Given:
Height of both pyramid and a prism is 8.2 cm.
Area of base is 22.3 cm cube.
Volume of Prism = 22.3 × 8.2
Volume of Pyramid = 1/3 × 22.3 × 8.2
Ratio of volume of prism and volume of pyramid = (22.3 × 8.2) : 1/3 × (22.3 × 8.2)
Ratio of volume of prism and volume of pyramid = 1: 1/3
Ratio of volume of prism and volume of pyramid = 3: 1
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It’s not really that hard but I am just busy so please do this for me.
The Volume of Each Shape is Shown below.
What is Volume?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m³, cm³, in³ etc.
Given:
1. r = 6 inch, height = 6 inch
So, Volume of Cone = 1/3 πr²h
= 1/3 x 3.14 x 6 x 6 x 6
= 226.08 inch³
2. diameter = 6cm
r = 3 cm,
so, volume of each piece
= 4/3 πr³
= 4/3 x 3.14 x 3 x 3 x 3
= 113 cm³
now, volume of 20 candies
= 20 x 113
= 2260 cm³ of chocolate.
3. The height of the cone shape, h = 84 inches
radius = 8 inches
The cost per cubic inch is $2.25.
The cost of nickel for the sculpture is given by
= 2.25 x 1/3πr²h
= 2.25 x 1/3 x 3.14 x 8 x 8 x 84
= $12660.48.
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(0.02)^4
Anyone know?
Answer:
0.00000016
Step-by-step explanation:
Raise 0.02 to the power of 4.
0.000000256.
Step-by-step explanation:The expression (0.02)^4 represents the fourth power of 0.02. In mathematical terms, "^" symbol is used to indicate exponentiation, so (0.02)^4 is equal to 0.02 multiplied by itself 4 times.
To calculate this expression, we can multiply 0.02 by itself 4 times:
0.02 * 0.02 * 0.02 * 0.02 = (0.02)^4 = 0.000000256
So, the result of (0.02)^4 is approximately equal to 0.000000256.
If you can buy one can of pineapple chunks for $2 then how many can you buy with $10?
(round to the nearest whole number)
the state of wyoming has a population of 564,000 and a population density of 2.16 people per square kilometer. find the width of wyoming.
To find the width of Wyoming, we need to find the area of the state and divide by the width.
Area = population density x total population
Area = 2.16 x 564,000 people
Area = 1,222,624 square kilometers
Width = Area / Length
We don't have the length, so we'll have to rearrange the formula to solve for it:
Width = Area / Length
Length = Area / Width
Length = 1,222,624 square kilometers / Width
We'll solve for width:
Width = 1,222,624 square kilometers / Length
Since we don't know the length, we cannot solve for width.
At farm animals are fed bales of hay and buckets of green each bale of hay is in the shape of a rectangular prism the base has size lengths 2' and 3' and the height is 5' each bucket of grain is a cylinder with a diameter of 3' the height of the bucket is 5' the same as the height of the tip bail which is larger in area the retainer prism based off of the bale or the circular base of the bucket explain how you do
A. The circular base of the bucket is larger.
B. The bale has a larger volume.
How did we arrive at these assertions?A. The circular base of the bucket has a larger area than the rectangular base of the bale.
The formula for the area of a circle is π * r^2, where r is the radius. The diameter of the bucket is 3 feet, so the radius is 3/2 feet. The area of the circular base is therefore π * (3/2)^2 = 7.07 square feet.
The rectangular base of the bale has length 2 feet and width 3 feet, so its area is 2 * 3 = 6 square feet.
Since 7.07 > 6, the circular base of the bucket is larger.
B. The bale has a larger volume than the bucket.
The formula for the volume of a rectangular prism is l * w * h, where l is the length, w is the width, and h is the height. The bale has length 2 feet, width 3 feet, and height 5 feet, so its volume is 2 * 3 * 5 = 30 cubic feet.
The formula for the volume of a cylinder is π * r^2 * h, where r is the radius and h is the height. The radius of the bucket is 3/2 feet and the height is 5 feet, so the volume of the bucket is π * (3/2)^2 * 5 = 22.36 cubic feet.
Since 30 > 22.36, the bale has a larger volume.
learn more about the radius of a circular base: https://brainly.com/question/22049608
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The complete question goes thus:
At a farm, animals are fed bales of hay and buckets of gain.Each bale of hay is in the shape of a rectangular prism.The base side lengths 2 feet and 3 feet,and the height is 5 feet. Each bucket of grain is a cylinder with diameter of 3 feet. The height of the bucket is 5 feet as the height of bale. A. Which is larger in area, the rectangular base of the bale or the circular base of the bucket? Explain how you know B. Which is larger in volume, the bale or the bucket? Explain how you know