Answer:
Radius = 6
Step-by-step explanation:
The volume of a cone is V= pi*r^2*h/3
In this case, h=18 in.
Volume= 216pi in^3
So all you need to do is plug in and solve.
216pi = pi*r^2 *6
36=r^2
r=6
Radius of cone is 6 in.
What is cone?A cone is a shape created by connecting all the points of a circular base (which does not contain the apex) to a common point known as the apex or vertex using a series of line segments or lines.
Given that;
Volume of cone = 216π in³
Height = 18 in
Since we know that,
The volume of a cone is V= πr²h/3
Therefore plug the values,
⇒216π = πr²(18)/3
⇒ 36 = r²
⇒ r = 6 in
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1st Question
3x + 8y = -4
2x - 4y = 16
2nd Question
6x - y = 16
x = 4y - 5
3rd Question
x + y = 19
3x - 2y = -3
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Answer:
(x, y) = (4, -2)(x, y) = (3, 2)(x, y) = (7, 12)Step-by-step explanation:
When you have a lot of the same kind of problem to solve, it makes a certain amount of sense to let a spreadsheet do it. You can enter the formulas once, and then all you need to do is supply the different data for the different problems.
Here, we can put the equations into standard form, then use Cramer's Rule to solve them. For the two equations ...
ax +by = cdx +ey = gwe can define ...
D = (ae -db)
Then the values of x and y are ...
x = (ce -gb)/D
y = (ag -dc)/D
The attached spreadsheet implements these equations to find the values of x and y.
__
The second equation of the 2nd Question is not given in standard form. To put it into standard form, we need to subtract 4y from both sides:
x -4y = -5
_____
Additional comment
Many graphing calculators have matrix functions that will solve sets of linear equations, too. For those, you can use the function that puts the coefficient matrix into Reduced Row-Echelon Form. Often that function is named RREF( ), as it is on my TI-84 and HP-48 calculators. The input coefficient matrix will look like ...
[tex]\left[\begin{array}{ccc}a&b&c\\d&e&g\end{array}\right][/tex]
and the output matrix will look like ...
[tex]\left[\begin{array}{ccc}1&0&\text{x-value}\\0&1&\text{y-value}\end{array}\right][/tex]
Effectively, the equations are solved by "elimination." If the calculator shows [0 0 0] in the bottom row of output, it means the equations are dependent and there are infinite solutions. If it shows [0 0 1], the equations are inconsistent, and there are no solutions.
What is the measure of z? z = [?]
The measure of z in its simplest form is 3√11
We solve the triangle using pythagoras' theorem.
What is pythagoras' theorem?Pythagoras' theorem states that in any right angled triangle with sides a, b and hypotenuse side, c which is the longest side, the square of the hypotenuse side equal the sum of the squares of the other two sides.
So, according to Pythagoras' theorem,
c² = a² + b²
The required equationsSince we have three right angled triangles, in the smallest right angled triangle, we have
z² = y² + 3² (1)
In the next larger right angled triangle, we have
x² = y² + 27² (2)
In the largest right angled triangle, we have
(3 + 27)² = z² + x²
30² = z² + x² (3)
Substituting (2) into (3), we have
30² = z² + x²
30² = z² + y² + 27²
30² - 27² = z² + y²
900 - 729 = z² + y²
171 = z² + y²
z² = 171 - y² (4)
Equating (1) and (4), we have
y² + 3² = 171 - y²
y² + 9 = 171 - y²
y² + y² = 171 + 9
2y² = 180
y² = 180/2
y² = 90
The measure of zSubstituting y² into (1), we have
z² = y² + 3²
z² = 90 + 9
z² = 99
z = √99
z = 3√11
So, the measure of z is 3√11
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Answer: first answer 3, 2nd answer 10.
Step-by-step explanation:
I just did the question on acellus
Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.
Answer:
Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.
Step-by-step explanation:
pls hurry ill mark brainleest BUT ONLY IF U GET IT RIGHT
Answer:
C. 15
Step-by-step explanation:
Graph shows the point to 5.
Says " Chocolate in 3 Box"
5*3=15
Hope this help!
Answer:
c15
Step-by-step explanation:
Subtract polynomials:
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
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Answer:
-5x^4 +6x^3 -x +3
Step-by-step explanation:
First, eliminate parentheses.
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
= -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2
Then collect terms.
= -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3
= -5x^4 +6x^3 -x +3
Distributive property 79x36
Answer:
1(79 x 36)
Step-by-step explanation:
You start at (5, 7). You move down 1 unit and left 5 units. Where do you end?
Answer:
(0, 6)
Step-by-step explanation:
5, 7
x, y
5, 7
-5 -1
---------------
0,6
which one is greater 16,400 or 1.64 times 10 to the 4th power.
Sorry it is confusing.
Answer: its the same amount
Step-by-step explanation:
simply each radical 1-4
Answer:
1. [tex]8x\sqrt{yz\\}[/tex] 2.[tex]8xy\sqrt{xz}[/tex] 3.[tex]4x^{2}yz\sqrt{y}[/tex] 4.[tex]7yz\sqrt{xz}[/tex]
Step-by-step explanation:
Matthew borrows $200, agreeing to pay it back with a 6% annual interest after 20 months. How much interest will she pay?
Answer:
$20.00
Step-by-step explanation:
Equation:
A = P(1 + rt)
convert R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Putting time into years for simplicity,
20 months / 12 months/year = 1.666667 years.
sol.
A = 200(1 + (0.06 × 1.666667)) = 220.000004
A = $220.00
The total amount accrued, principal plus interest, from simple interest on a principal of $200.00 at a rate of 6% per year for 1.666667 years (20 months) is $220.00.
Interest: $20.00
Hey here is my question. So if you have 20 legos and your sister has 10 legos how many more legos do you have than her? fr.ee points.
Answer:
You would have 10 more legos than your sister.
Step-by-step explanation:
20-10=10
The table lists the average surface temperature of some planets.
Average Surface
Planet Temperature
(°C)
Mercury 167
Uranus
-197
Neptune -200
Earth
15
Mars
-65
Jupiter -110
Enter an inequality to compare the temperatures of Mercury and Mars.
Answer:
Mercury's temperature > Mars' temperature
Step-by-step explanation:
The average surface temperature on Mercury is 167 degrees C, and the average surface temperature on Mars is -65 degrees C. 167 is greater than -65, so Mercury > Mars.
1. What is the radius of the circle?
Worth max points
Answer:
[tex]7[/tex]
Step-by-step explanation:
We see that the circle is centered at [tex](1, 0)[/tex]. We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.
We know that the circle intersects the x-axis at [tex](8, 0)[/tex]. Therefore the radius of the circle is the distance between these points, in this case [tex]8-1=7[/tex].
So, the answer is [tex]\boxed{7}[/tex] and we're done!
The area of a room is 65.25 meters squared. If its width is 8.7 meters, what is its length?
Answer:
28 / 4 = -7.v
Step-by-step explanation:
Website
1. Orbitz.com
2. Mypoints.com
3. Americangreetings.com
4.Bizrate.com
5.Half.com
Average daily unique visitors
1,527,000
1,356,000
745,000
503,000
397,000
What was the total average number of visits for these websites?
Answer:
905,600 visitors
Step-by-step explanation:
added each number up and divided them by 5 (the total number of websites) to get 905,600
The Four-Digits Problem
Use the digits 1, 2, 3, and 4 to write expressions for the numbers
1 through 50. Each digit is used exactly once in each expression.
(There might be more than one expression for a given number.)
You can use addition, subtraction, multiplication and division, factorial, absolute
, exponents, and parentheses in any way you wish.
Answer:
praktik ko yctgv hujan hu bule
which equation does not belong with the other three A. y=-5x-1 B.2x-y=8 C. y=x+4 D. y= -3x+13
Answer:B
Step-by-step explanation:
All other equations solve for Y
divide 4x+2x^3+7x^2-1 by x=-1
Answer:
12
Step-by-step explanation:
4(1)+2(1)”3+7(1)”2-1
4+2+7-1
12
wait if x=-1 it’s zero
Which of the following is an example of the identity property of 1?
O 0+2 = 24
O 3 - 2 = 1
O (1) = 1
1.11(0) = 0
Answer:
(1) = 1
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
What is 7 ⅖ decreased by 4 4/5 ?
Answer:
2 3/5
Step-by-step explanation:
7 2/5 decreased by 4 4/5, Is the same as 7 2/5 - 4 4/5, which equals to 2 3/5.
Given that (9,2) is on the graph of f(x), find the corresponding point for the function f(-3/4x)
Answer:
(- 12 , 2)
Step-by-step explanation:
f(x) -> f(kx) |k| = |-3/4| = |- 0.75| = 0.75
0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)
(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)
What is the solution to the following equation?
-28 +6m = 6(m - 4) - 4
Answer:
0
Step-by-step explanation:
first we work out product of set b
6(m-4) = 6m -24
then reshow
-28+6m = 6m-24-4
-28 +6m -6m = 24-4
-28 =28
= 0
Order these numbers in Descending order
Answer:
28.3, 28 1/3, 25 1/4, 5v25
Step-by-step explanation:
If I need to use 4/5 of a cup of strawberries for a single pie. How many cups are needed for 2 pie?
Is this graph portional
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Answer:
no
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.
Lindsey sold stationery to her family and her mother's friends shw deposited the $125 shw earned in a savings account. The account earns 5.18% interest annually. If she does not deposit or withdraw any money for 18 months how much will she have in her account
Answer:
$134.71
Step-by-step explanation:
A = P(1 + rt)
A = Amount after t months or years
P = Principal or amount saved
r = interest rate = 5.18% = 0.0518
t = time.in years = 18 months
= 1 year and 6 month
= 1.5 year
A = $125( 1 + 0.0518 × 1.5)
A = $125 ( 1 + 0.0777)
A = $125(1.0777)
A = $134.71
Find the complete factorization of
6x^3 - 15x^2 – 9x.
What is one of the factors of the complete fac-
torization of 6x^3 - 15x^2- 9x?
[tex]6x {}^{3} - 15x {}^{2} - 9x \\ 3x(2x {}^{2} - 5x - 3) \\ 3x( 2x {}^{2} + x - 6x - 3) \\ 3x(x(2x + 1) - 3(2x - 1) \\ (2x + 1)[/tex]
Hence, Proved ✔︎Answer:
the correct answer is D on edge 2020 for me.
Step-by-step explanation:
An art teacher has a total of 6/8 pound of clay. The teacher puts 1/16 pound of clay at each work station. The teacher sets up an equal number of work stations in each of the two classrooms. How many work stations does the teacher set up in each classroom?
A bag contains 3 black marbles and 5 white marbles. Paul picks a marble at random from the bag and replaces it back in the bag. He mixes the marbles in the bag and then picks another marble at random from the bag. Calculate the probability that Paul picks:
A. Two black marbles
B. Black marble in his second draw
Answer:
id go with B.
you'd get a mix because its bound to happen.
Help ME!!! This Homework is Confusing Me
Answer:
I think it is d or a. I might be wrong sorry
Step-by-step explanation: