Answers
The volume of the cone is 942cm³
What is volume of cone?A cone is defined as a distinctive three-dimensional geometric figure with a flat and curved surface pointed towards the top. The top is called the vertex.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
The volume of a cone is expressed as;
V = 1/3 πr²h
where r is the radius and h is the height
V = 1/3 × 3.14 × 20 × 45
V = 2826/3
V = 942 units³
Therefore the volume of the cone is 942 units²
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Related Questions
a smaller square of side length feet is cut out of a square board. what is the approximate area (shaded region) of the remaining board in square feet?
Answers
If a smaller square of side length 17 feet is cut out of a square board , then the approximate area of remaining board in square feet is x² - 289 square feet .
le the side length of the big square board be = "x" ft ;
the side length of smaller square is = 17 ft ;
So , the area of the smaller square is = (side length) × (side length)
= 17 × 17
= 289 ft² .
and , the area of the larger square is = (x) × (x) ;
= x² .
So , the approximate area of the remaining board is calculated as :
= x² - 289 ;
Therefore , area of remaining board is "x² - 289" .
The given question is incomplete , the complete question is
A smaller square of side length 17 feet is cut out of a square board. What is the approximate area of the remaining board in square feet ?
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The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%.
Answers
The probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
What will be the probability?we know that the formula for probability is given by
\(Z=\dfrac{X-\mu }{\sigma}\)
where,
Z = Z score,
X = raw score,
μ = mean,
σ = standard deviation,
The probability of the students to be selected randomly between 350 and 550 will be given as
\(=P(350 < X < 550)\)
\(=P(350-500 < X-500 < 550-500)\)
\(=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}\)
\(=P(-1.36 < Z < 0.45)\)
\(=P(Z-1.36)-P(Z-0.45)\)
\(=(0.9131-0.6736)\)
\(=0.2395\)
Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
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X and rounds it down to the nearest integer. Find INT (x) for x=-4.6, 2.3, and 2 then find the domain and range
Answers
The range of rounds down nearest integer function is {-2,1,5} while domain is {-2.3,√2,4.6}.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
Given the rounds down nearest integer function INT(x)
x = -2.3,√2,4.6
Since the domain is the set of all x's values thus {-2.3,√2,4.6} will be the domain.
For x = -2.3 ⇒ INT(-2.3) = -2
For x = √2 = 1.414 ⇒ INT(√2) = 1
For x = 4.6 ⇒ INT(4.6) = 5
So range {-2,1,5}
Hence "The range of rounds down nearest integer function is {-2,1,5} while domain is {-2.3,√2,4.6}".
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find a point c satisfying the conclusion of the mean value theorem for the function f(x)=x−3 on the interval [1,3].
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The point c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x - 3 on the interval [1, 3] is c = 2.
The Mean Value Theorem states that if a function f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) such that the derivative of the function at c is equal to the average rate of change of the function over the interval [a, b].
In this case, the function f(x) = x - 3 is continuous and differentiable on the interval [1, 3].
The average rate of change of f(x) over [1, 3] is (f(3) - f(1))/(3 - 1) = (3 - 3)/(3 - 1) = 0/2 = 0.
To find the point c that satisfies the conclusion of the Mean Value Theorem, we need to find a value of c in the open interval (1, 3) such that the derivative of f(x) at c is equal to 0.
The derivative of f(x) = x - 3 is f'(x) = 1.
Setting f'(x) = 1 equal to 0, we have 1 = 0, which is not possible.
Therefore, there is no point c in the open interval (1, 3) that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x - 3.
Thus, in this case, there is no specific point within the interval [1, 3] that satisfies the conclusion of the Mean Value Theorem.
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Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?
Answers
Answer: 4 horas
Step-by-step explanation:
Una semana (de lunes a viernes) contiene 5 días
Si se entrena 1 hora por día:
1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)
Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)
(5+x) /6 =1.5
Despajando x:
5+x =1.5 x 6
5+x =9
x =9-5
x = 4 horas
f(n) = 4n+ 3
g(n) = n³-3n
Find (f - g)(n)
Answers
Answer:
\(-n^3+7n+3\)
Step-by-step explanation:
\((f-g)(n)=f(n)-g(n) \\ \\ =4n+3-n^3+3n \\ \\ =-n^3+7n+3\)
a pizza shop runs a special where you can buy a large pizza with one cheese, one vegetable, and one meat for $9. You have a choice of seven Cheese's, 11 vegetables, and 6 Meats. Additionally, you have a choice of Three crusts and two sauces. How many different variations of the pizza special are possible?
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The possible number of pizza special is (7 x 11 x 6 x 3 x 2 = 2772 variations.
QUESTION 4 PLEASE THANK YOU!!
Answers
"If 4 less than three times a number, p, is 10 more than twice the number, which of the following equations could be used to properly solve for p?"
Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour.When will Ava and Kelly be 3/4 mile apart ?
Answers
Ava and Kelly will be 3/4 mile apart after 22.5 minutes.
To determine when Ava and Kelly will be 3/4 mile apart, we can consider their relative speed. The relative speed is the difference between their individual speeds.
Ava's speed = 6 miles per hour
Kelly's speed = 8 miles per hour
The relative speed of Ava and Kelly is:
Relative speed = Kelly's speed - Ava's speed
= 8 miles per hour - 6 miles per hour
= 2 miles per hour
This means that Ava and Kelly are moving away from each other at a rate of 2 miles per hour.
To calculate the time it takes for them to be 3/4 mile apart, we can use the formula:
Distance = Speed × Time
In this case, the distance they need to cover is 3/4 mile, and the relative speed is 2 miles per hour.
3/4 mile = 2 miles per hour × Time
Simplifying the equation:
3/4 = 2 × Time
Dividing both sides by 2:
3/4 × 1/2 = Time
3/8 = Time
Therefore, it will take Ava and Kelly 3/8 hours (or 22.5 minutes) to be 3/4 mile apart.
Thus, Ava and Kelly will be 3/4 mile apart after 22.5 minutes.
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What is the first step to solve this equation?
4x +1 = 2x – 5
Answers
Answer: I divided but clearly that's not a choice
Step-by-step explanation:
A) Justin bought 27 pounds of sugar for $11. How many pounds of sugar did he get per dollat? Pounds per dollars mearest hundredth. B) A color printer prints 20 pages in 7 minutes. How many minutes does it take per page? Minutes per page nearest hundredth.
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A)
\(\begin{gathered} \frac{27\text{ pounds }}{11\text{ dollars}}=\text{ } \\ 2.45\text{ pounds per dollar } \end{gathered}\)b)
\(\begin{gathered} \frac{20\text{ pages}}{7\text{ minutes}}= \\ 2.86\text{ pages per minutes} \\ \\ Then: \\ If\text{ 2.86 pages are printed in 1 minute, how many minutes does it take for 1 page?} \\ \frac{1\text{ page \lparen1 minute\rparen}}{2.86\text{ pages}}=\text{ } \\ 0.35\text{ minutes takes to print 1 page. } \end{gathered}\)
Ronald wants to rent a car to take a trip and has a budget of $60. there is a fixed rental fee of $25 and a daily fee of $5. write an inequality that would be used to solve for the maximum number of days for which ronald can rent the car on his budget. 25 5x ≤ 60 25 5x ≥ 60 25x 5 ≤ 60 25x 5 ≥ 60
Answers
Answer:
60>x>25
Step-by-step explanation:
Find a general term a, for the sequence whose first four terms are given.
1 /1,1/4,1/9,1/16
Answers
Answer:
an = 1/n^2
Step-by-step explanation:
We notice that the denominators are the squares of successive integers. The general term will be ...
\(\boxed{a_n=\dfrac{1}{n^2}}\)
find the surface area of that part of the plane that lies inside the elliptic cylinder
Answers
The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.
We are given the two equations are:
10x + 7y + z = 4---------(1)
\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)
equation(1) is written as
z = 4 - 10x - 7y-----------(3)
The surface area is given by the equation:
A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)
compare equation(4) with equation(3) we get the values of ∂f/∂x and
∂f/∂y
∂f/∂x = -10
∂f/∂y = -7
substitute these values in equation(4)
A(S) = ∫∫√[(-10)² + (-7)² + 1]dA
A(S) = ∫∫√[100 + 49 + 1]dA
A(S) = ∫∫√[150]dA
A(S) = √150 ∫∫dA
Where ∫∫dA is the elliptical cylinder
From the general form of an area enclosed by an ellipse with the formula;
comparing x²/a² + y²/b² = 1 with x²/25 + y²/9 = 1, from that we get the values of a and b
a = 5 and b = 3
So, the area of the elliptical cylinder = πab
Thus;
A(S) = √150 × π(5 × 3)
A(S) = 15π√150
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Max completed 12 questions on the exam. This is 40% of the questions. 1. Write an equation representing this situation. 2. How many questions are on the exam? 3. Explain how you got your answer
Answers
Answer:
Step-by-step explanation:
How many questions are on the exam? Represent this by n.
Then 40% of n comes out to 12 questions, or more symbolically,
0.40n = 12, after which we get n = 12/0.40 = 30
Answers:
(1) 0.40n = 12 is the desired equation.
(2) n = 30 is the number of questions on the exam.
(3) See above for explanations.
What does outliers mean in math?
Answers
An outlier is a mathematical value in a set of data which is quite distinguishing from the other values.
Its more like outliers are values uncommonly far from the middle. Mostly, outliers have a significant impact on mean, but not on the median, or mode.
Hence making the outliers are crucial in their influence on the mean.
we can say that the outlier is a data point that lies outside the entire pattern in a distribution.
They are mostly shown as dots and its known that the whiskers are required to change. Whiskers stretch out to the farthest point in the data set that isn't an outlier.
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I'm literally about to give up on this
Answers
Answer:
The new shape will be like the one that i have drawn for you , i think .
add two ( to base* from both sides of it * )
delete one ( from hights )
Step-by-step explanation:
Hope it was useful ;)
is 2 4 1 2 3 3 5 in the span of the columns of a? what about 2 4 3 2 1 3 5
Answers
We were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of the columns of a. 2 4 3 2 1 3 5 can be written as 2a1 + 2a2 + 0a3.
To determine whether a given vector is in the span of columns of a matrix, we need to check whether that vector can be expressed as a linear combination of the columns of the matrix.
Let's assume that matrix a has the following columns:
a = [ 1 2 3
2 4 3
3 6 5
4 8 7 ]
For the first vector, 2 4 1 2 3 3 5, we can write it as a linear combination of the columns of a as follows:
2 4 1 2 3 3 5 = 2a1 + 2a2 - 2a3
Therefore, the first vector is in the span of the columns of a.
For the second vector, 2 4 3 2 1 3 5, we can write it as a linear combination of the columns of a as follows:
2 4 3 2 1 3 5 = 2a1 + 2a2 + 0a3
Therefore, the second vector is also in the span of the columns of a.
In both cases, we were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of columns of a.
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are these equivalent or not? simplify to prove. if the two expressions are not equal write the correct equivalence.
1. y(x+2) and xy+2y
2. x(x+y+2) and x2+xy+2x
3. 2x(x+3) and 2x+6
Distribute the following. Use a sketch or just distribute if you can.
1. 3(x+2)
2.4(y-1)
3. x(x+6)
4. x(y+4)
5. 3x(x+y-1)
Answers
Expressions 1 and 2 are equal and right and 3rd is not correct .
What is expression in math?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)An example of expression is a term or phrase that is regularly used or a means of expressing your thoughts, feelings, or emotions. The idiom "a penny saved is a penny earned" is a prime example. A smile is an illustration of an expression.2x(x+3) = 2x² + 6x is correct Distribution of expressions .
expressions 1 and 2 are equal and right .
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How many zeros does 7.185629 x 102985 have?
Answers
Answer:
3
Step-by-step explanation:
3
Answer:
4
Step-by-step explanation:
7.185629 x 102985 = 740,012.002565 which has 4 zeros
Help babes bbhgchvvhgcbhxvb
Answers
Answer:
(4,-3) or -3
Step-by-step explanation:
2 - -8 =
2 + 8 =
10 / 2 =
5
-8 + 5 = -3
2 - 5 = -3
So, (4,-3)
Hope that helps!
ASAP
-WILL MARK BRIANiST
Answers
Answer:
5/18
Step-by-step explanation:
(5/6)/3
5/6 X 1/3
5/18
5/6 x 1/2 = 5/12
Find the gradient of line AB if A is (3,4) and B is (4,9) Explain
Answers
Answer: \(\frac{5}1}\) or 5
Step-by-step explanation:
Gradient = \(\frac{y_{2}-y_{1}} {x_{2}-x_{1}}\\\) where;
\((x_{1},y_{1} )\) is the first point, that is A in this question and
\((x_{2} ,y_{2} )\)is the second point, that is B in this question.
Therefore, \(y_{2} -y_{1}\)=5
\(x_{2}- x_{1}\)=1
So, the gradient = \(\frac{5}{1}\) or 5
Points A and B are midpoints of the sides of triangle QRS. Triangle Q R S is cut by line segment A B. Point A is the midpoint of side Q S and point B is the midpoint of side R S. The length of Q R is 6 meters, the length of Q A is 4 meters, the length of A B is 3 meters, and the length of R B is 3 meters. What is SA? 2 m 3 m 4 m 6 m
Answers
Answer: 4m
Step-by-step explanation:
Note : midpoints divide a line into two equal parts.
To calculate the length of SA;
We can consider the large triangle QRS with
Two midpoints :
A on the line QS, QA = 4m ;
and B on the line RS with RB = 3m
Fron the definition of midpoint :
QS = QA + AS
where QA = AS
QS = 2QA = 2AS
Therefore,
QA = QS
4m = 4m
Answer:
4m
Step-by-step explanation:
Popeyes chicken sandwich bussin
Rob's family ate 3 5/8 pizzas at a local restaurant. Each pizza weighs 1 1/4 kg. Which expression can be used to determine how many kilograms of pizza did Rob's family eat?
Answers
Answer:
b
Step-by-step explanation:
g
Joshua mowed yards in his neighborhood to make some money. He charged 4 neighbors $60 each since they hard large yards, 3 neighbors $40 each who had medium sized yards, and 2 neighbors $20 each who had very small yards. How much money did Joshua make? Show your work.
Answers
4 * $60 = $240
3 * $40 = $120
2 * $20 = $40
$240 + $120 + $40 = $400
Alex invested $7,000 in a fund that pays 6% interest. If no deposits or withdrawals are made, how much money will be in the account 8 years from today?
Answers
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Triangle PQR ~Triangle TUV. In Triangle PQR, ∡P = 33 degrees and ∡Q = 42 degrees. Find the measure of ∡V.
Answers
Answer:
angle v is 105
Step-by-step explanation:
the triangles are similar, so the angles will be the same so both triangles, the sum of the angles for a triangle must add up to 180 degrees
The diameter of a circle is 36 inches. What is the circle's area?
use 3.14 for PI
but only windowssssssssssssssssssss
Answers
The area of the circle is the region occupied by it in the two dimensional plane.
Area of a circle is given by ;
➝ πr²The diameter of the circle is 36inches
ㅤㅤㅤ➙ Radius = D / 2
ㅤㅤㅤ➙ Radius = 36 / 2
ㅤㅤㅤ➙ Radius = 18 inches
Therefore, area :
➝ A = πr²
➝ A = 3.14 × ( 18 )²
➝ A = 3.14 × 324
➝ A = 1017.36
Solution:
We know that:
Diameter of circle = 36 in.Radius of circle = Diameter/2 in.Area of circle = πr²Finding the radius of the circle:
Radius of circle = Diameter/2 in.=> Radius of circle = 36/2 in.=> Radius of circle = 18 in.Finding the area of the circle:
Area of circle = πr²=> Area of circle = (3.14)(18²)=> Area of circle = (3.14)(324)=> Area of circle = 3.14 x 324 = 1017.36 in²n is an integar. Write the values of n such that -15<3n<6
Answers
Answer:
-4, -3, -2, -1, 0, 1
Step-by-step explanation:
Let's simplify the inequality by dividing it by 3 to get -5 < n < 2. The integers that satisfy this are -4, -3, -2, -1, 0, 1. Note that we do not include -5 or 2 because the sign is <.