if the area or the base of a cone is 9 square feet and the altitude is 3ftb then what's the volume
Answers
9 cubic feet
Explanation
The volume of a cone is given by:
\(\text{Volume}_{cone}=\frac{1}{3}base\cdot height\)then
let
\(\begin{gathered} \text{base}=9ft^2 \\ \text{altitude}=3\text{ ft} \end{gathered}\)replace in the formula
\(\begin{gathered} \text{Volume}_{cone}=\frac{1}{3}base\cdot height \\ \text{Volume}_{cone}=\frac{1}{3}\cdot9ft^2\cdot(3\text{ ft)} \\ \text{Volume}_{cone}=\frac{1}{3}\cdot9ft^2\cdot(3\text{ ft)} \\ \text{Volume}_{cone}=9ft^3 \end{gathered}\)so, the answer is 9 cubic feet
I hope this helps you
Related Questions
Which of the following is a polynomial with roots: − square root of 3 , square root of 3, and −2? (6 points) Question 7 options: 1) x3 − 2x2 − 3x + 6 2) x3 − 3x2 − 5x + 15 3) x3 + 2x2 − 3x − 6 4) x3 + 3x2 − 5x − 15
Answers
Answer:
The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)
Step-by-step explanation:
A nth order polynomial f(x) has roots \(x_{1}, x_{2}, ..., x_{n}\) such that \(f(x) = (x - x_{1})*(x - x_{2})*...*(x - x_{n}}\),
Which of the following is a polynomial with roots: − square root of 3 , square root of 3, and −2?
So
\(x_{1} = x_{2} = \sqrt{3}\)
\(x_{3} = -2\)
Then
\((x - \sqrt{3})^{2}*(x - (-2)) = (x - \sqrt{3})^{2}*(x + 2) = (x^{2} -2x\sqrt{3} + 3)*(x + 2) = x^{3} + 2x^{2} - 2x^{2}\sqrt{3} - 4x\sqrt{3} + 3x + 6\)
Since \(\sqrt{3} = 1.73\)
\(x^{3} + 2x^{2} - 3.46x^{2} - 6.93x + 3x + 6 = x^{3} - 1.46x^{2} - 3.93x + 6\)
The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)
You bought a game system tor 120 and sold
it for $150. What is the percent increase?
Answers
Answer:
25%
Step-by-step explanation:
I think...
Answer:
25%
Step-by-step explanation:
please help asap
Addition prop of equality
subtraction prop of quality
multiplication prop of equality
Division prop of equality
simplifying
distrib prop
Answers
Answer:
multiplication prop of equality, (multiplying both sides by 6)
simplifying, (not distrib prop as there is no parentheses)
Addition prop of equality, (adding 18 to each side)
simplifying
what is 2.01 as a decimal
Answers
Answer:
0.0201
Step-by-step explanation:
2.01 / 100 = 0.0201
Answer:
hey mate, here is your answer. Hope it helps you.
2.01 / 100 = 0.0201
Step-by-step explanation:
2.01 / 100 = 0.0201
We find it useful to convert 2.01% to decimal, because if you need to find 2.01% of any number, you can simply multiply that number with 0.0201.
What are the coordinates of the endpoints of the midsegment for A RST that is parallel TS? Enter your answer by filling in the boxes. (_ , _) and (_ , _)
Answers
Answer:
2,4 3,5
Step-by-step explanation:
in many cases, property taxes when you own a home are paid every six months, homeowner's insurance is paid once per year, and car insurance is paid every six months. One homeowner pays 1470.00 in property taxes twice a year, 918.00 in homeowner's insurance annually, and makes car insurance payments of 285.78 and 359.79 every six months. If this homeowner wants to spread these expenses out by putting some money each month into a savings account, how much should she put aside monthly? Round your answer to the nearest cent.
Answers
The homeowner should put aside $375.30 each month in order to save up for these expenses. Rounded to the nearest cent, this is $375.31.
The question asks us to determine how much a homeowner should put aside each month in order to save up for property taxes, homeowner's insurance, and car insurance expenses that come up every six months and annually.
To solve this problem, we can add up the total cost of all these expenses and divide by the number of months in a year, then round to the nearest cent.
Let's begin by finding the total cost of all these expenses. The homeowner pays property taxes twice a year, so that's a total cost of $1470 x 2 = $2940. The homeowner's insurance is paid once per year, with a cost of $918. The car insurance is paid twice a year, with costs of $285.78 + $359.79 = $645.57.
Adding up all these costs, we get: $2940 + $918 + $645.57 = $4503.57.
To determine how much to put aside each month, we divide this total by 12 (the number of months in a year): $4503.57 ÷ 12 = $375.30.
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Find the slope of the line that passes through (9, 8) and (4, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
Step-by-step explanation:
90
Answer:
it's 2/5 (0.4)
Step-by-step explanation:
y-y1
-------
x-x1
8-6
----
9-4
2
--
5 = 2/5 =0.4
if the sum of any two number is 20 and difference is 10 find the numbers
Answers
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75
Which statement correctly compares -9 and 2?
A. 92 because 9 is to the left of 2 on a number line.
B. 9 is to the left of 2 on a number line. -9> 2 because 92 because
C. 9 is to the right of 2 on a number line. D. 9 > 2 because 9 is to the right of 2 on a number line.
Answers
The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.
What is a number line?In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.
Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.
In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A
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A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
Answers
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Which two expressions are equal given r=9?
a. r+20
b. 2×r+10
c. 4×r−10
e. 3×r+1
Answers
Answer:
2×r+10 and 3×r+1
Step-by-step explanation:
a. 9+20= 29
b. 2×9+10= 18+10 = 28
c. 4x9-10 = 36-10 =26
e. 3×9+1 = 27 +1 = 28
the correct answer are 2×r+10 and 3×r+1
Hellllppppppppp pleaseeeeeeee
Answers
Answer:
F. \(x=\frac{5}{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)Step-by-step explanation:
Step 1: Define
\(x^2 - 5x + \frac{25}{4} = 0\)
Step 2: Identify Variables
\(a = 1\\b = -5\\c = \frac{25}{4}\)
Step 3: Find roots
Substitute [QF]: \(x=\frac{5\pm\sqrt{(-5)^2-4(1)(\frac{25}{4} )} }{2(1)}\)Exponent: \(x=\frac{5\pm\sqrt{25-4(1)(\frac{25}{4} )} }{2(1)}\)Multiply: \(x=\frac{5\pm\sqrt{25-25} }{2}\)Subtract: \(x=\frac{5\pm\sqrt{0} }{2}\)Evaluate: \(x=\frac{5}{2}\)Find three different solutions for the equation 3x-4y=-12
Answers
SOLUTION
Given the question, the following are the solution steps to answer the question.
STEP 1: Write the given equation.
\(3x-4y=-12\)STEP 2: Find the solutions
\(3x-4y=-12\)Set x = 0
\(\begin{gathered} 3(0)-4y=-12 \\ -4y=-12 \\ y=\frac{-12}{-4}=3 \\ Solution:(0,3) \end{gathered}\)Set y = 0
\(\begin{gathered} 3x-4(0)=-12 \\ 3x-0=-12 \\ 3x=-12 \\ Divide\text{ both sides by 3} \\ \frac{3x}{3}=\frac{-12}{3} \\ x=-4 \\ Solution:(-4,0) \end{gathered}\)Set y = 1
\(\begin{gathered} 3x-4(1)=-12 \\ 3x-4=-12 \\ 3x=-12+4 \\ 3x=-8 \\ Divide\text{ both sides by 3} \\ \frac{3x}{3}=\frac{-8}{3} \\ x=-\frac{8}{3} \\ Solution:(-\frac{8}{3},1) \end{gathered}\)Hence, the three different solutions are:
\(\begin{gathered} (0,3) \\ (-4,0) \\ (-\frac{8}{3},1) \end{gathered}\)Help its a two part question. Big points ans I will give brainliest
Answers
The equation of the axis of symmetry of the parabola is equal to x = 4.
How to derive the equation of the axis of symmetry
In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:
Vertex
(x, y) = (h, k)
Axis of symmetry
x = h
If we know that h = - 4, then the equation of axis of symmetry is x = 4.
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cesar gasto el 15% de sus ahorros en un celular por lo que ahora le queda 2.125 dolares ahorrados ¿cuanto dinero tenia inicialmente cesar?
Answers
Cesar initially had $2,500 in savings.
Let's solve the problem step by step.
Let's assume that the initial amount of money Cesar had is represented by "x" dollars.
According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:
0.85x = 2,125
To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:
x = 2,125 / 0.85
Calculating this value:
x = 2,500
Cesar initially had $2,500 in savings.
Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.
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Ms. Thomspon needs 15/2 yards of red fabric and 7 1/2 yards of silver fabric. which comparison is true.
Answers
Step-by-step explanation:
To compare the two amounts of fabric, we need to express them with a common denominator:
15/2 = 30/4
7 1/2 = 15/2
Now we can compare the two amounts:
30/4 > 15/2
This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.
Therefore, Ms. Thompson needs more red fabric than silver fabric.
Need help ASAP
the value of each variable. If your answer is not
teger, express it in simplest radical form.
The length of a is
The length of b is
(Simplify your answer.)
Answers
Answer:
me too (help)
Step-by-step explanation:
A car going south 35 mi/hr speeds up when the speed limit changes. It takes 0.05 hours to accelerate at a rate of 200 mi/hr2. What is the car’s final velocity?
Answers
a)The value of acceleration will be 4.8 m/s²
b)The total distance travelled is 505 m.
a) As all the movement happens along a straight line, we need to define an axis only, which we call x-axis, being the positive direction the one followed by the car.
We can choose to place our origin at the location where the motorcycle was stopped at the side of the road (assuming that it is the same point for the car when it passes him), so our initial position is 0.
We can also choose our time origin to be the same as the instant that the motorcycle starts from rest, so t₀ = 0.
With these assumptions, and assuming also that the acceleration is constant, we can write two equations, one for the car (at constant speed) and the another one for the motorcycle, as follows:
xc = vx*t
xm= 1/2*a*t²
When the motorcycle passes the car, both distances traveled from the origin will be equal each other, i.e., xc = xm :
⇒ vx*t = 1/2*a*t²
We have as givens vx=35 m/s and t = 14.5 sec when both equations are equal each other.
⇒ 35 m/s* 14.5 s = 1/2*a*(14.5)²(s)²
Solving for a:
a = (2* 35 m/s) / 14.5 s = 4.8 m/s²
b) Replacing the value of a in the equation for xm, we have:
xm = 1/2*4.8 m/s²* (14.5)²s² = 505 m.
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A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
Answers
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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There were 40 marbles in a bag. Some of the marbles were yellow, and the rest were black. For a game, 3/5 of the 40 marbles were chosen and 16 of these were black.
Use this information to answer the questions below.
If not, enough information is given to answer a question, click on "Not enough information."
(a) How many of the bag's yellow marbles were chosen?
(b) How many of the bag's marbles were chosen?
(c) How many black marbles were in the bag before the game?
Answers
The answer of the following are; A. 16 yellow marbles were chosen
B. 24 marbles were chosen
C. Not enough information.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are obtained data from the question. This include the following:
marble = 40
Black marble =..?
A. From the question given, 3/5 of the 40 marbles were chosen. It therefore means that 2/5 were not chosen and 16 of these were black.
yellow marble chosen = 2/5 x 40 = 16.
Therefore, 16 yellow marbles were chosen.
B. From the question given, 3/5 of the 40 marbles were chosen.
marble chosen = 3/5 x 40 = 24.
Therefore, 24 marbles were chosen.
C. Not enough information because the number of black marbles in the bag was not given, we can not obtain the total number of marbles that were not chosen.
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kesha has a total of 140 coins, all of which are either dimes or quarters. the total value of the coins is $27.50. find the number of each type of coin
Answers
Answer:
50 dimes and 90 quarters
Step-by-step explanation:
This problem you will need 2 equations
1. D + Q = 140 ( shows the total amount of coins)
2. 0.1D + 0.25Q= 27.50 ( shows the total cost)
The best way to do this is by substitution
To get D by itself the first equation would turn into D= 140-Q
Plug 140-Q into the second equation where you see D and solve for Q
Once you solve it you should get Q=90 then to get D it would be 140-90 which gives you D=50.
Solve for x:
7x - 3x + 11 = 27
Answers
4x=16
16/4=x
x=4
Answer:
-10
Step-by-step explanation:
F(x)=3/4x-5, find the slope
Answers
Answer:
slope = 3/4
Step-by-step explanation:
2.
Identify the error that was made in the following problem when applying the linear combination method. Then correctly
solve the problem using linear combination.
Incorrect solution:
(2x + 3y - 24
2x-y-8
(2x+3y)-(2x-y)-(24-8)
2y = 16
y=8
2x + 3(8)=24
x=0
Solution: (0,8)
Description of error:
Corrected solution:
2x+3y-24
2x-y-8
Answers
Answer:
the solution is (24,40)
Step-by-step explanation:
The error in this problem is that the incorrect solution is attempting to solve for y first, by setting 2y = 16 and then solving for y as 8. However, this step is not valid when using the linear combination method to solve a system of equations.
To correctly solve the problem using linear combination, the first step would be to add the two equations together:
(2x+3y-24) + (2x-y-8) = 3x+2y-32
then solving for x:
x = (32 - 2y) / 3
Substituting x back into the first equation:
2x + 3y - 24 = 0
2((32 - 2y) / 3) + 3y - 24 = 0
64 - 4y + 3y - 24 = 0
-y = -40
y = 40
then substitute y back into the second equation:
2x - 40 - 8 = 0
2x = 48
x = 24
So the solution is (24,40)
what is the positive difference between -8. and 9
Answers
Answer:
1
Step-by-step explanation:
9-8=1
Hope that this is helpful.
Have a nice day.
Answer:
Step-by-step explanation:
The steps you take are 9 - - 8 = 17
difference means subtract. That's what the first - is for.
-8 is the sign on the 8. If you draw a number line and start at - 8 and go all the way to plus 9, you have gone 17 spaces.
Find the long-term behavior: G(n) = n^2 + n - 4/(n^2 + 3n + 2)
Answers
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
100 POINTS!!! IF YOU DRAW AN ACCURATE DIAGRAM TOO, YOU WILL BE AUTOMTIC BRAINLIEST!!!!!!
Answers
If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².
What is surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.
First step:-
Right triangular prism=1⁵/₆ inches= 11/6 inches
Height of the base=8²/₃ inches = 26/3 inches
Second step:-
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500) +43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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A phone company offers two monthly plans. plan A cost $19 plus an additional $0.11 for each minute of calls. plan B has no initial fee but costs $0.15 for each minute of calls.
Answers
Answer: 475 minutes.
Step-by-step explanation: To compare the cost of these two plans, you need to find how many minutes of calls are needed for the cost of each plan to be the same. Let's call this number of minutes x.
For plan A, the total cost will be $19 plus $0.11 for each minute of calls, or a total of 19 + 0.11x dollars.
For plan B, the total cost will be $0.15 for each minute of calls, or a total of 0.15x dollars.
Since the cost of the two plans is equal, we can set these expressions equal to each other and solve for x:
19 + 0.11x = 0.15x
Subtracting 0.11x from both sides, we get:
19 = 0.04x
Dividing both sides by 0.04, we get:
475 = x
Therefore, the number of minutes of calls needed for the cost of the two plans to be the same is 475 minutes.
PLEASE HELP 15 POINTS,
It is now time to complete the Utilities Discussion. Research the cost of some sort of household bill. Examples are natural gas, electricity, water, etc. Find one that models a linear function and write a function to represent the cost of this utility.
Explain how you found your information and wrote your function. Be sure to define your variables, use function notation.
Answers
Step-by-step explanation:
I take gas consumption as example.
Consider the followings,
Let M be the gas meter reading per month
A be the fuel adjustment fee
B be monthly maintenance fee
Y be unit cost per Joule
Let X be monthly bill
( 1 meter reading unit = 48 unit of Joule )
Monthly bill payment :
X = Mx48xY + A + B
in function notation, the monthly bill is f(M, Y, A, C)
Geometry I need help
Answers
Figure O is reflected followed by a translation of 4 units in the left direction.
Given that:
Figure O and Figure P are shown on the graph.
The translation does not change the shape and size of the geometry. But changes the location.
Figure O is translated leftward by 4 units.
The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.
The translated figure O is reflected across the x-axis.
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