Here, the value of x = 20, x² = 400 and x³ = 8000.
What is Factorization ?
The breaking or breakdown of one entity into a product of another entity, or factors, which when multiplied together yield the original number, is known as factorization or factoring in mathematics.
We've x³ = 8000 ...............equation 1
we can factor it as follows :
8000 = 2×2×2×10×10×10
8000 = 2³ × 10³
8000 = 20³ .............................equation 2
Now, By comparing equation 1 and 2,
We get, x = 20.
So, x² = 20 × 20 = 400.
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Which is a better estimate for the volume of a salt shaker?
Total volume of the salt shaker is 56.52+706.5=763.02 cm³
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.
Given here: The volume of a salt shaker
The radius of the salt shaker which is 5 cm
Thus the volume of the cylinderical salt shaker is = π×3²×5²
=706.5 cm³
and the volume of the hemisphere at the top is= (2/3)πr³
=56.52 cm³
Hence, Total volume of the salt shaker is 56.52+706.5=763.02 cm³
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The complete question is Which is a better estimate for the volume of a salt shaker? where radius =3 cm and height =5 cm
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.
Answer:
I don't have the Pound Sterling sign on my keyboard but the answer is $45.60
Step-by-step explanation:
Since each adult ticket costs $51.60 and there are 12 adults
The total cost of adult tickets = $51.60*12=$619.20
Then take the total cost of tickets and subtract $619.20 from it
$1804.80-619.20=$1185.60 that's the total cost of children's tickets
Since there are 26 children you have to divide that answer by 26 to get it
$1185.60/26=$45.60
f(x) = -4x2 + 10
Find f(-2)
Answer:
f(-2) = -6
Step-by-step explanation:
In the expression, to get f(-2);
we simply substitute the value of x with -2
We have this as;
f(-2) = -4(-2)^2 + 10
f(-2) = -4(4) + 10
f(-2) = -16 + 10
f(-2) = -6
In square millimeters, what is the area of the figure above? Round answer to tenth. Just write the number.
Answer:
72.3sqmm
Step-by-step explanation:
To solve this you need to split the arrow into two shapes. One rectangle and one triangle. First you want to solve the area of the rectangle or the triangle and then vice versa. When you get the area for both add them together, and then round to the nearest tenth.
Rectangle Area: 4 * 12.4 = 49.6sqmmSince the height of the triangle is currently unknown we must take the total length of the arrow and subtract it by the rectangle's portion of the length, and then that will give us the height of the triangle. After that we take the height, multiply it by the base of 8.4, and finally divide it by 2.
Triangle Height:, 17.8 - 12.4 = 5.4mmTriangle Area: 8.4 * 5.4 = 45.36 | 45.36/2 = 22.68sqmmNow that we have both areas we simply add both, and the round.
Total Area: 49.6 + 22.68 = 72.28 ≈ 72.3mmABCD is a kite, So AC - DB and DE=EB Calculate the length of \overline{AC} AC to the nearest tenth of a centimeter.
Answer:
AC=9CM
Step-by-step explanation:
Since ABCD is a kite, we know that the two diagonals, AC and BD, intersect at right angles and that the two pairs of adjacent sides are congruent. Therefore, we have:
AC = BD and AB = BC = CD = DA
We also know that DE = EB, which means that triangle ADE is congruent to triangle BEC (by the side-side-side congruence rule), so we have:
AD = BC and AE = EC
AD=5cm and DC=4cm
Combining these equations, we have:
AC = AD + DC
AC=5cm+4cm=9cm
Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting
charges $10 plus $9 per hour. Darlene's Dog Sitting charges $18 plus $7 per hour?
Answer
The cheaper dog sitter is Derrick's.
Step-by-step explanation:
You did not really ask a question here but i am assuming that your asking who is the cheaper route.
HELPPP
Martina will spend more than $36 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Use c for the additional amount (in dollars) Martina will spend.
Write your answer as an inequality solved for c.
If Martina has already spent $22 and will spend more than $36 in total, then we can set up an inequality to represent the possible additional amounts she will spend:
$22 + c > $36
To solve for c, we can isolate it on one side of the inequality by subtracting $22 from both sides:
c > $36 - $22
c > $14
Therefore, the possible additional amounts Martina will spend (represented by c) must be greater than $14. The inequality solved for c is c > $14.
Yvonne is comparing the weights of a semi-truck trailer tire and a mobile home. a semi-truck trailer tire weighs about 102 pounds, and a mobile home weighs about 104 pounds. what is the ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home?
The ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home will be 51: 52.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The weight of the semi-truck trailer tire is 102 pounds.
The weight of the mobile home is 104 pounds.
The ratio of the weight of a semi-truck trailer tire to a mobile home is given as.
Ratio = 102 / 104
Ratio = 51 / 52
Ratio = 51: 52
The ratio of the weight of a semi-truck trailer tire to a mobile home will be 51: 52.
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A friend needs help. Please hurry!
The measure of the angle measured in image 1 is 94.
The measure of the angle measured in image 2 is 124
The measure of the angle measured in image 3 is 54
The measure of the angle measured in image 4 is 60.
The measure of the angle measured in image 5 is 94
The measure of the angle measured in image 6 is 116.
The value of x in triangle 7 is 9
The value of x in triangle 8 is 4
The value of x in triangle 9 is 9
The value of x in triangle 10 is 12
What are the measures of the angles?A triangle is a polygon that has three sides, three edges and three vertices. The sum of angles in a triangle is 180 degrees. In a triangle, the sum of the two interior opposite angles is equal to the value of the exterior angle.
Value of the missing angle in triangle 1 = 70 + 24 = 94
Value of the missing angle in triangle 2 = 82 + 42 = 124
Value of the missing angle in triangle 3 = 123 - 69 = 54
Value of the missing angle in triangle 4 = 150 - 90 - 60
Value of the missing angle in triangle 5 = 143 - 49 = 94
Value of the missing angle in triangle 6 = 150 - 34 = 116
The value of x in triangle 7:
84 + 7x + 5 = 17x - 1
89 + 7x = 17x - 1
89 + 1 = 17x - 7x
90 = 10x
x = 90 / 10
x = 9
The value of x in triangle 8:
14x + 6 + 16x + 4 = 130
30x + 10 = 130
30x = 130 - 10
30x = 120
x = 120 / 30
x = 4
The value of x in triangle 9:
10x - 3 + 84 = 21x + 4
10x + 81 = 21x + 4
81 - 4 = 21x - 10x
77 = 11x
x = 77 / 11
x = 9
The value of x in triangle 10:
85 + 5x - 10 = 11x + 3
75 + 5x = 11x + 3
75 - 3= 11x - 5x
72 = 6x
x = 72 / 6
x = 12
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Answer:
just so the other guy gets a brainliest
Out of a sample of 327 Americans, 245 said they had no interest in professional soccer.
(Data simulated from Carey & Kereslidze, 2007) A 95% confidence interval for the
proportion of Americans who have no interest in professional soccer is 0.70 to 0.80.
Suppose that another sample of 784 Americans was taken and asked the same question.
How would the width of the new confidence interval compare to the width of the
confidence interval based on the 327 women in the armed forces?
The width of the confidence interval based on the 784 women would be narrower than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be wider than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be the same as the
confidence interval based on the 327 women.
O No answer text provided.
Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
) The value of shares, t years after their floatation on the stock market, is modelled by V=10e 0.09t
Find the initial value of these shares and values after 5 years, 10 years and 12 years, respectively. Round your answer to two decimal places. [9 marks] During a recession, a firm's revenue declined continuously so that the total revenue (TR) in t years' time is modelled as TR=10e −0.19t
(in million dollars) Calculate the current revenue and revenue in 5 years' time. After how many years the revenue of this firm is going to drop to $1 million? Round your answer to two decimal places.
After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.
The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t
The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,
we get
V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.
The values after 5 years, 10 years and 12 years, respectively are:
For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars
The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)
The current revenue is the total revenue when t = 0.
So, putting t = 0 in TR = 10e−0.19t, we get
TR = 10e−0.19 × 0= 10e0= 10 million dollars
Revenue in 5 years' time is TR when t = 5.
So, putting t = 5 in TR = 10e−0.19t, we get
TR = 10e−0.19 × 5≈ 4.35 million dollars
To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.
Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1
Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303
Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.
So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.
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Julia used 2 1/2 gallons of paint to cover 1/8 of her wall. How much paint is needed to cover her entire wall?
Answers:
5/16 gallons
5 gallons
16 gallons
20 gallons
I really need the answer like rn so plsss help, I'll give brainliest
Answer:
20 gallons
Step-by-step explanation:
The paint needed to cover her entire wall is 20 gallons. The correct option is D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Julia used 2¹/₂ gallons of paint to cover 1/8 of her wall. The amount of paint for the entire wall will be calculated as,
1/8 fraction of wall = 2¹/₂ gallons
The total fraction of wall = 2¹/₂ x 8
The total fraction of wall = 2.5 x 8 = 20 gallons
To cover the wall the quantity of paint is 20 gallons.
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which expression is equivalent to the given expression?
Answer:
4ln x +ln 3-lnx
4ln x -ln x+ln3
3ln x+ln 3
ln(3x+3)is equivalent.
Use a translation rule to describe the translation that is 3 units to the right and 6 units down
1. (x, y) --> (x + 3, y + 6)
2. (x, y) --> (x + 3, y - 6)
3. (x, y) --> (x - 3, y - 6)
4. (x, y) --> (x - 3, y + 6)
Step-by-step explanation:
Translation that is 3 units to the right and 6 units down translate the point (x,y) into the point (x+3,y-6). Example: if you translate the origin (0,0) 6 units to the left and 5 units up, then you obtain point (-6,5)
16 is what percent of 73
Answer:
Convert fraction (ratio) 16 / 73 Answer: 21.917808219178%
Step-by-step explanation:
I tried to scream but my head was under water.....
They called me weak
Like I'm not just somebody's daughter
Suppose A is an m X n matrix, x E R" and be R'. Which of the below is/are not true?
A. A matrix equation Ax = b has the same solution set as the linear system whose augmented matrix is [A b).
B. A vector b is in the Span of the columns of A if and only if the matrix equation Ax = b has a solution.
C. The columns of A span the whole Rm if and only if Ax = b has a solution for every b in R™
D. An equation Ax = b has a solution for every b in R' if and only if A has a pivot position in every row.
E. The columns of A span the whole R' if and only if rank(A) - n.
F. Suppose A is a 3 x 3 matrix and Ax = b is not consistent for all possible b = (b,.by. by) in R'. To find a relation among the entries b,.b.b, of the vectors b for which Ax = b is consistent, we write the augmented matrix [A bJ and reduce it to an echelon form - a relation comes from the condition that the last column of [A b] has to be a non-pivot column.
The statement that is not true is E. The columns of A span the whole R' if and only if rank(A) = n, not rank(A) - n.
A. This statement is true. The matrix equation Ax = b and the linear system whose augmented matrix is [A b] are equivalent because they both represent the same set of linear equations.
B. This statement is also true. If vector b is in the Span of the columns of A, then it can be written as a linear combination of the columns of A, and therefore Ax = b has a solution. Conversely, if Ax = b has a solution, then b is in the Span of the columns of A.
C. This statement is true. If the columns of A span the whole Rm, then any vector b in Rm can be written as a linear combination of the columns of A, and therefore Ax = b has a solution for every b in Rm.
D. This statement is true. If A has a pivot position in every row, then it is row-equivalent to the identity matrix and therefore has a unique solution for every b in R'. Conversely, if Ax = b has a solution for every b in R', then A must have a pivot position in every row.
E. This statement is not true. The columns of A span the whole R' if and only if rank(A) = n, not rank(A) - n.
F. This statement is true. If Ax = b is not consistent for all possible b in R', then the augmented matrix [A b] must have a row of zeros in the echelon form, which means that the last column is a non-pivot column. The entries in this column correspond to a linear relation among the entries of b for which Ax = b is consistent.
Answer: Options A, B, and C are true statements. However, options D, E, and F are not true.
D: A solution for every b in R' exists if and only if A has a pivot position in every column, not every row.
E: The columns of A span the whole R' if and only if rank(A) = n, not rank(A) - n.
F: In a 3x3 matrix, if Ax = b is not consistent for all possible b in R', finding a relation among the entries of b requires the last row of the reduced row echelon form of [A b] to be of the form [0 0 0 x], where x ≠ 0, rather than the last column of [A b] being a non-pivot column.
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calculate p(84 ≤ x ≤ 86) when n = 9.
The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.
Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:
z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)
z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)
To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:
P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)
where Φ is the cumulative distribution function of the standard normal distribution.
Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.
For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:
P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878
Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
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Answer:
Step-by-step explanation:
The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.
Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:
z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)
z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)
To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:
P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)
where Φ is the cumulative distribution function of the standard normal distribution.
Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.
For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:
P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878
Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
a+coin+is+to+be+tossed+260+times.+a)+determine+the+95%+to+5%+split+(for+too+many+heads).
When the coin is tossed, the probability of getting a 95% to 5% split is 0.1128.
Given that:
The number of times the coin is tossed = 260
Probability of success = 95% = 0.95
Probability of failure = 5% = 0.05
The number of times success came is:
x = 0.95 × 260
= 247
The binomial probability formula can be used to find the required probability.
Here, p = 0.95, q = 0.05, n = 260 and x = 247.
So, the probability is:
P(247) = ²⁶⁰C₂₄₇ (0.95)²⁴⁷ (0.05)²⁶⁰⁻²⁴⁷
= ²⁶⁰C₂₄₇ (0.95)²⁴⁷ (0.05)¹³
= 0.1128
Hence, the probability is 0.1128.
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Simplify the expression 12p-8p,4p(3-2)
Answer:
Are these two different equations? Tell me so I can help you.
please slove this for me
Answer:
The answer is A, 7
Step-by-step explanation:
35÷5=7
in a trapezium a=7. b=10.4. and h=6.7 what is the area of the trapezium
Answer:
58.29
Step-by-step explanation:
7+10.4/2h
Answer=58.29
Express the ratio 25 balloons to 30 strings as a fraction in simplest form.
The given ratio is,
\(\text{Balloon : string = 25 : 30}\)We can express ration in the fractional form as,
\(\frac{\text{Balloon}}{Str\text{ing}}=\frac{25}{30}=\frac{5\times5}{5\times6}=\frac{5}{6}\)How many exercises are in class 10 polynomials?
In class 10 mathematics chapter 2 (Polynomials), there are 4 exercises.
'What are polynomials?'
Polynomials are algebraic expressions made up of coefficients and variables. Occasionally, variables are referred to as indeterminates. For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all possible; however, division by variable is not. x2+x-12 is an illustration of a single-variable polynomial. Three terms are involved in this example: x2, x, and -12.
The Greek words "polynomial" and "nominal" are the origins of the word polynomial, which is translated as "many phrases" when combined. There is no limit to the number of terms that a polynomial can have.
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what is logistic growth function with oscillation?
Logistic growth function with oscillation is a mathematical model that describes the growth of a population that is limited by its resources.
The logistic growth function itself is an S-shaped curve that levels off as the population approaches its carrying capacity. However, when there are additional factors that cause oscillations or fluctuations in the population size, the model can be modified to include periodic behavior.
One example of a logistic growth function with oscillation is the Lotka-Volterra predator-prey model. In this model, the population of predators and prey are linked through a set of differential equations that describe how the two populations interact with each other. The oscillations in this model occur due to the interplay between the predator and prey populations, with each population affecting the growth of the other.
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There is a group of 15 people are ordering pizza. Each person wants 2 slices and each pizza has 10 slices. How many pizzas should they order?
Answer:
3 pizzas
Step-by-step explanation:
First, we can calculate how many slices are necessary. Each person wants two slices, so for each person, we must add 2 slices. We can add 2 15 times, or multiply 2 by 15 to get 2 * 15 = 30
We now know that we need 30 slices of pizza. Next, we need to figure out how many pizzas we need given this information.
For each pizza, we can add 10 slices, as there are 10 slices of pizza.
For the first pizza, we have 10 slices
For the second, we have 10+10 = 20 slices
For the third, we have 10+10+10 = 10 * 3 = 30 slices. Perfect!
Another way of figuring out the number of pizzas we need would be to divide 30 by 10, and 30/10=3 would equal the number of pizzas. We need to figure out how many pizzas we need to have 30 slices, so we can divide here.
yesterday, 28 students took a test. the arithmetic mean of those 28 scores was 72 points. two students who were absent yesterday took the test this morning, and the arithmetic mean of all 30 test scores is 73 points. if the difference of the two scores from this morning is 22 points, what is the lower score from this morning?
Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.
We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.
We also know that the mean of all 30 scores is 73. So we can write an equation:
[(28 * 72) + x + y]/30 = 73
Multiplying both sides by 30, we get:
2016 + x + y = 2190
So, x + y = 174.
We are given that the difference of the two scores is 22, so we can write another equation:
y - x = 22
Solving these two equations simultaneously, we get y = 98 and x = 76.
Therefore, the lower score from this morning is 76.
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Vilgot made a hat, then a scarf. He graphed the relationship between the total weight (in grams) of the yarn he had used and the length (in centimeters) of the scarf.
What feature of the graph represents how much of the yarn Vilgot used for the hat?
Answer:
x-intercept
Step-by-step explanation:
Isaiah is grounded and has to stay in his room all day. He made up a game where he throws balled-up paper called a "trashball" into his trash can. The diameter of the top of the trash can 1 the diameter of the top of is 12 in. Isaiah wants the "trashball" to have a diameter that is the trash can. > What should the diameter of Isaiah's "trashball" be? d Level G ? in. 12 in.
Answer:
Isiah Thomas
Step-by-step explanation:
I amazing fact
Answer:
the correct answer is 4
Step-by-step explanation:
yea sorry i don’t know step-by-step