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The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r?
a
OA V = ?
7 x
B.
V=2 / 28
AP
C.
=
3
gard
OD. V-17
Answers
Answer:
B) V= 4/3πr^3
Step-by-step explanation:
The volume of the cone according to the given condition is V = 4πr³/3
What is cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.
Given that the height of a cone is two times its base diameter. we need to find the formula for the volume of cone in terms of base radius,
So, the volume of a cone in general is = π × radius² × height/3
According to the question,
The height is 2x the base diameter, that mean =
h = 2d
Since, d = 2r
So, h = 2(2r)
h = 4r
So the volume according to this condition is =
π × r² × 4r/3
V = π × 4r³/3
V = 4πr³/3
Hence the volume of the cone according to the given condition is V = 4πr³/3
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Related Questions
You need to arrange of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
Question content area bottom
Part 1
enter your response here ways
(Type a whole number.)
Answers
Answer:
The answer is 8! ("eight factorial") = 8*7*6*5*4*3*2*1 = 40320, which is the number of permutations of 8 objects.
(8 ways to put the first book in the first place, then 7 ways to put the second book in the second place, then 6 ways to put the third book in the third place, and so on).
Sylvia applies two transformations to WXYZ shown below on the coordinate grid. She applies a reflection across the y-axis and then a rotation of 180° counterclockwise about the origin.
What are the coordinates of the final vertices of the two transformations?
coordinates: ________________________
Answers
The coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
How to determine the final vertices?The coordinates of the polygon WXYZ are:
W = (-4,-1)
X = (-2,-1)
Y = (-2,-4)
Z = (-3,-2)
When reflected across the y-axis, the rule of transformation is:
(x,y) -> (-x,y)
So, we have:
W' = (4,-1)
X' = (2,-1)
Y' = (2,-4)
Z' = (3,-2)
When rotated by 180 degrees, the rule of transformation is:
(x,y) -> (-x,-y)
So, we have:
W" = (-4,1)
X" = (-2,1)
Y" = (-2,4)
Z" = (-3,2)
Hence, the coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
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Help help math math maths
Answers
(4x -8)/5 = 4 , cross multiply
(4x-8) = 20
4x = 20 + 8
4x = 28
Divide through by 4
x= 28/4 = 7
x=7
Answer: X = 7
Step-by-step explanation:
1) 20 / 5 = 4
2) X - 2 = 5
3) 7 - 2 = 5
4) 4 x 5= 20
6) 20 / 5 = 4
7) X = 7
A company makes three sizes of juice bottles: small, medium, and large.
• The ratio of small bottles to medium bottles made is 2:3.
• The ratio of medium bottles to large bottles made is 3:5,
The company makes s small bottles every minute.
Enter an expression in terms of s to represent the number of large bottles the company makes every minute.
Answers
An expression in terms of s that represents the number of large bottles is : L = [tex](\frac{15s}{2} /3})[/tex]
Ratio of different sizes of bottlesThe company makes s small bottles every minute
let ; M represent the number of medium bottles made every minute
L represent the number of large bottles made every minute
small bottles to medium = 2 : 3
small bottles to medium = s : M
M is the unknown, so to find how many medium bottles that has been made, we must cross multiply
2M = 3s
M = [tex]\frac{3s}{2}[/tex] medium bottles made every minute
medium bottles to large bottles = 3 : 5
medium bottles to large bottles = M : L
where M = [tex]\frac{3s}{2}[/tex]
The equation becomes:
3 : 5
[tex]\frac{3s}{2}[/tex] : L
L is the unknown, so to find how many Large bottles that has been made, we must cross multiply
3L =( [tex]\frac{3s}{2}[/tex] ) * 5
L = [tex](\frac{15s}{2} /3})[/tex]
L = ( [tex]\frac{5}{2}[/tex] s)
L = 2.5 s
therefore the large bottles the company makes every minute is 2.5s large bottles
we can conclude that the expression for the number of large bottles the company makes every minute with respect to s is : L = 2.5 s
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Help I have a d in this class
Answers
2. Elana's Family. Elana's Family.
Fill in the blanks as necessary.
(a) Kaitlin is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
2
3
7
Cost (in dollars)
10
15
28
The cost for each person is not always the same.
The cost for each person appears to be the same.
Predicted number in group for a cost of $40:
Answers
Answer:
The cost for each person is not always the same.10 peopleStep-by-step explanation:
Number : 2 Cost : $10
Per person = 10/2 = $5Number : 3 Cost : $15
Per person = 15/3 = $5Number : 7 Cost : $28
Per person = 28/7 = $4⇒ The cost is not always the same per person.
⇒ Predicted number in a group for cost of $40 :
⇒ Since 7 costs $28 and if we use 8, it will be $5 per head but the price difference will be too large
⇒ 10 people is more reasonable at a rate of $4 per person
On a standardized exam, the scores are normally distributed with a mean of 450 and a standard deviation of 25. Find the z-score of a person who scored 470 on the exam.
Answers
A Z-score helps us to understand how far is the data from the mean. The z-score of a person who scored 470 on the exam is 0.8.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
Given the mean is 450, while the standard deviation is 25, therefore, the value of the z-score can be written as,
[tex]Z = \dfrac{X- \mu}{\sigma}\\\\Z(X=470) = \dfrac{470- 450}{25} = 0.8[/tex]
Hence, the z-score of a person who scored 470 on the exam is 0.8.
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can someon3 help me with this it like 4 or 5 minutes
Answers
Answer:
C. 360-85=12h
Step-by-step explanation:
360=85+12h
360-85=12h
if i have 2489 friends and 72% of those friends want burgers, and 25% of the 72% want chips too, how many want chios
Answers
Answer:
448.02
Step-by-step explanation:
72% of 2489 is 1,792.08
25% of 1,792.08 is 448.02
The formula below is used to convert a temperature in degrees Fahrenheit, F, to a
temperature in degrees Celsius, C.
c=2 / IF
(F-32)
-
What is the temperature, in degrees Celsius, that is equivalent to a temperature of 40°F?
B
А 14-с
B 95C
C 4400
D 222
С
Answers
Answer:
C.4400
Step-by-step explanation:
The formula to convert Fahrenheit to Celsius (or Vice Versa) is,
F
=
(
9
C
5
)
+
32
Here C is the Temperature in Celsius Degrees and F is temperature in Fahrenheit Degrees.
Time for substitution
( 9C)
40 = ______ +32
5
I have put 40 instead of F because the value I have in hand is temperature in Farhenheit.
=> (40 -32) 5
________ = C
9
Then take all the constant term to one side and keep the variable on other side.
C = 4.4444444
C = 4400
Lucy is 15 years old and has $1000, she invests in a CD paying 8% interest. How many times will her money double by the time she is 60?
Answers
Answer:
5
Step-by-step explanation:
(1 + i ) ^45 i = interest in decimal 45 = years
(1.08)^45 = ~~ 32
when she is 65 it will be worth 32 000
so it doubles 5 times (1000 2000 4000 8000 16000 32000)
tell whether the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
Answers
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
How to find a linear function?The standard equation of a linear function is y = mx + b
where:
m is the slopee
b is the y-intercept
Using the coordinate point (1, 6) and (2, 9)
Find the slope
Slope = 9-6/2-1
Slope = 3/1
Slope = 3
For the y-intercept
Recall that y = mx + b
9 = 3(2) + b
b = 3
Determine the equation
y = 3x + 3
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function.
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What is the slope of a line perpendicular to the line whose equation is 2x + 3y = 24. Fully simplify your answer.
Answers
The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,
⇒ m = - 2/3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The perpendicular line is,
⇒ 2x + 3y = 24
Now,
Since, Product of slopes of perpendicular line are - 1.
So, We need to find the slope of the line.
Hence, Slope of the line is,
2x + 3y = 24
y = - 2/3x + 8
m = dy/dx = - 2/3
m = - 2/3
Thus, The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,
⇒ m = - 2/3
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Enter the correct answer in the box.
Write the expression 12-2 in simplest form.
Answers
Answer: 1/144 as a fraction
Step-by-step explanation:
HELP ASAP!!
Person A leaves a $16 tip for a meal that costs $123. Person B leaves a tip of $12 for a meal that costs $89. Who is the better tipper? Explain.
Answers
if i had 10 apples how many apples do i have?
Answers
I hope that i helped
Answer:
10 apples
Step-by-step explanation:
Given the endpoints of a segment, find the length of each segment.
A (-3, 7) and B (-5, 2)
Answers
Step-by-step explanation:
Using the distance formula
√(x1-x2)²+(y1-y2)²
√(-3+5)²+(7-2)²
√(2)²+(5)²
√4+25
√29 units
MARK ME AS BRAINLISTWhich of the following statements about closure is false?
Polynomials are closed under addition. When you add polynomials, the result will always be a polynomial.
Polynomials are closed under subtraction. When you subtract polynomials, the result will always be a polynomial.
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
Polynomials are closed under multiplication. When you multiply polynomials, the result will always be a polynomial.
Answers
Using the concept of closure, it is found that the false statement is given by:
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
What is the closure of a polynomial?A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and multiplication operations.
As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.
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Rearrange the equation so x is the independent variable. -4x-6=-5y+9 y=
Answers
-4x-6=-5y+9y
-4x-6= 4y
-4x= 4y+6
4x=-4y-6
x= (-4y-6)/4
Find the surface area of each of the following figures using the given values.
Answers
Answer:
Step-by-step explanation:
1. the surface area of a square is 6 * s^2
a. 6 * 5^2 = 150 sq ft
b. 6 * 6^2 = 216 sq in
c. 6 * 12^2 = 864 sq mm
2. the surface area of a rectangle is 2(l*w + w*h + l*h)
a. 2(2*5 + 5*7 + 2*7) = 118 sq ft
b. 2(16*11 + 11*10 + 16*10) = 892 sq in
3. the surface area of a sphere is 4pi * r^2
a. 4pi * 12^2 = 576pi or 1809.6 units sq
b. 4pi * 16^2 = 1024pi or 3216.99 units sq
c. d = 2r, r = 5, 4pi * 5^2 = 100pi or 314.2 units sq
4. the surface area of a cylinder is (2pi * r^2) + (2pi*r * h)
a. (2pi * 6^2) + (2pi * 6 * 12) = 216pi or 678.6 units sq
b. (2pi * 2^2) + (2pi * 2 * 10) = 48pi or 150.8 units sq
c. (2pi * 3^2) + (2pi * 3 * 5) = 48pi or 150.8 units sq
5. r = d/2 = 0.5, using formula from question 4:
(2pi * 0.5^2) + (2pi * 0.5 * 4) = 4.5pi or 14.14 ft sq
The volume of a spherical balloon with radius 2.8 cm is about 92 cm^3. Estimate the volume of a similar balloon with radius 8.4 cm.
Answers
Step-by-step explanation:
it means the shape of the balloon is close to a sphere.
the volume of a sphere is
4×pi×r³
so, it bases on r³.
that means any scaling factor f between 2 similar balloons for the radius has to be multiplied in 3 times (once for every "r").
in our case we know
8.4 = 2.8 × f
f = 8.4 / 2.8 = 3
so,
large volume = small volume × f×f×f =
= small volume × f³ = 92×3³ = 92×27 =
= 2,484 cm³
I will give you 50 points and brainliest if you can answer this question
Use the equation 124⋅15=1,860 and what you know about fractions, decimals, and place value to determine where to place the decimal point when you compute (1.24)⋅(0.15).
1. Select the correct decimal location below.
2. Explain how you know
Answers
Answer:
The decimal stays in the same place and the answer is 0.186
Step-by-step explanation:
PLEASE HELP ASAP
Subtract 5y2 – 64 – 11 from 6y2 + 2y + 5.
Your answer should be a polynomial in standard
form.
Answers
Answer:
[tex]y^2 + 2y + 80[/tex]
Step-by-step explanation:
[tex]6y^2 + 2y + 5 - (5y^2 - 64 - 11)[/tex]
[tex]6y^2 + 2y + 5 - 5y^2 + 64 + 11[/tex] [pay attention to the signs :)
[tex]y^2 + 2y + 80[/tex]
Calculate the interest rate for an account that was
compounded semi-annually, had an initial deposit of
$9,000 and was worth $13,373.53 after 10 years.
Answers
Answer:
Intrest rate is 3645%
20(36.45%) = $4374
Step-by-step explanation:
Semi-annualy = 6 months
Start: $9,000
After 10-years (120 months): $13,373.53
Since it's gaining money every 6 months, it gains money over 20 months.
(120/6 = 20)
After removing the starting cost, it gains $4,373.53 over 20 months.
(13,373.53 - 9,000 = 4,373.53)
$4,373.53 spread out over 20 months equals around $218.68 every 6 months.
(4,373.53 ÷ 20 = 218.6765)
(218.6765 ≈ 218.68)
$218.68 over 6 months equals about $36.45 every month
(218.68 ÷ 6 = 36.44666)
(36.4666 ≈ 36.45)
The intrest rate is 3645%
(3645% ÷ 100% = 36.45)
if sin18=0.3090, cos 18=0.9511, sin 22=0.3746, and cos22=0.9272, then what is sin4
Answers
Answer:
[tex]0.6428[/tex]
Step-by-step explanation:
Using the addition formula for sine[tex]sin(x + y) = sinxcosy + cosxsiny[/tex]
[tex]sin40 = sin(18 + 22)[/tex]
[tex]= sin18cos22 + cos18sin22= (0.3090 * 0.9272) + (0.9511 * 0.3746)= 0.2865 + 0.3563= 0.6428[/tex]
If f ( x ) is a linear function, f ( − 5 ) = − 4 , and f ( 1 ) = − 1 , find an equation for f ( x )
Answers
Find the perimeter of the figure.
Answers
Step-by-step explanation:
perimeter=(8cm×5)+24cm
=40cm+24cm
=64cm
Which one has a greater quantity:
The volume of a prism with a base area of 24.3 cm2 and height 14 cm or
The volume of a pyramid with a base area 24.3 cm2 and height 14 cm
Answers
Answer:
The volume of a prism with a base area of 24.3 cm2 and height 14 cm
given that (4,-8) is on the graph of f(x), find the corresponding point for the function. f(x+3)
Answers
Answer:
i believe it's (1,-8)
Step-by-step explanation:
you subtract the "+3," since it's really the opposite, from 4 to get 1. The -8 stays the same since the transformation doesn't affect the y's.
James bought a car for $17.528 which included a 4.5% tax
a) How tax did he pav? b) He received a 15% discount off the
original price of the car. What was the original price?
Answers
Answer:
(1) the tax is 788.76
(2) 19312.23
Step-by-step explanation:
Hope this helps