cone a is 10 centimeters high and its base has a diameter of 4 centimeters. Cone B is twice as tall with a hight of 20 centimeters and a diameter of 4 centimeters. Cone C is the same height as cone A, 10 centimeters, but the diameter of its base is 8 centimeters. Which cone has the greatest volume?

Answers

Answer 1

The cone that has the greatest volume is cone C

How to determine the cone that has the greatest volume?

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Related Questions

-14x - 6 + 8 What is the answer???

Answers

Answer:

The answer is 2-14x or

-12x

31 MULTIPLE CHOICE which of the following is not possible geometry

Answers

Answer:

? where are the questions i will edit when answer arrive.

Step-by-step explanation:

Find the distance between (−7, 2) and (−6, 3). Round your answer to the nearest tenth.

Answers

Answer:

[tex]\huge\boxed{\sf D=1.4 \ units}[/tex]

Step-by-step explanation:

Points:[tex](x_1,y_1)=(-7,2)[/tex][tex](x_2,y_2)=(-6,3)[/tex]Distance Formula:Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Put the above points in the formula.

[tex]D=\sqrt{(-6-(-7))^2+(3-2)^2} \\\\D=\sqrt{(-6+7)^2+1^2} \\\\D=\sqrt{1^2+1} \\\\D=\sqrt{1+1} \\\\D=\sqrt{2} \\\\D=1.4 \ units\\\\\rule[225]{225}{2}[/tex]

In a class, the ratio of girls to boys is 2:3. There are 12 boys in the class. How many women are in the class?

Group of answer choices

1. 13

2. 18

3. 8

4. 11

Answers

Answer:

8

Step-by-step explanation:

Because we multiply 4 by both sides

2 times 4 is 8 for girls

4 times 3 is 12 for boys

So it asked for girls and 4 times 2 is 8

So the answer is 8

8 women are in the class.

I need help with this please help me

Answers

Answer: 18

Step-by-step explanation:

[tex]\triangle HJK \cong \triangle HLK[/tex] by HL. Therefore, [tex]JK=2[/tex] by CPCTC.

Using the segment addition postulate, [tex]GK=9[/tex].

Furthermore, [tex]\triangle HGK \cong \triangle HMK[/tex] by HL. This means that [tex]MK=9[/tex] by CPCTC.

Using the segment addition postulate again, [tex]GM=9+9=18[/tex].

Question 43 of 50
The graph of an exponential function that is increasing is ƒ(x) = (1/5)x.

False

True

Answers

Answer:

Option: A is the correct answer.

Step-by-step explanation:

Clearly from the graph we could observe that the graph is a decay exponential function as the graph of the function is decreasing with the increasing value of x.

Hence, the rate has to be less than 1.

So, option: B and D are ruled out as they represent a growth exponential function.

Also from the graph given in the question we could observe that when x=0 the value of y is:

y=4

So, the exponential function that is represented by the graph is:

Answer: true

Step-by-step explanation:

Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.

Answers

The total amount remaining after the deduction of $14.5 from $290.34 is $275.823.

What is interest?

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.

As we know that there will be a 5% of deduction of tax,

Calculate the amount after the tax deduction,

Amount  = 5 / 100 × $290.34

Amount = $14.5

The remaining amount after tax deduction = 290.34 - 14.5 = $275.823

Therefore, the total amount remaining after the deduction is $275.823.

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The complete question is:

Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances. Find the total amount after deduction.

HELP PLEASE this is urgent

Answers

Answer:

10.5 cm

Step-by-step explanation:

YZ corresponds to TU

YZ:TU = 9:3 = 3:1

XY corresponds to ST

ST = 3.5 cm

XY:ST = 3:1

XY/ST = 3/1

XY/3.5 cm = 3

XY = 10.5 cm

Answer is ST = 10.5 cm

Step by step

Line up your known sides

TU and ZY are similar
The dilation rate is small to large x3 ratio
(9/3) therefore
ST to TY is also rate of x3
ST = 3.5 x 3 = 10.5cm

solve for U
3u − –2 = 8
U=

Answers

U = 2
3(2) - -2 =8
3 times 2 equals 6.
And 6 plus 2 equals 8.
When a subtraction symbol is in front of a negative number you add.
The appropriate answer is

+*+=+
+*-= -
-*- = +
-*+= -
So back to the Question
3*2= 6
6+2= 8

U=2
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Cheese Pizza Sales for January
Location: Number Sold
Downtown
1,356
998
1,824
Westland

Answers

Answer:

this is the answer hope it's right 1,356

7x - 10y = 28
7x - 3y = 28

Answers

Answer:

(4, 0)

Step-by-step explanation:

7x - 10y = 28

7x - 3y = 28

------------------

(7x - 10y = 28) × -1

-7x + 10y = -28

--------------------------

-7x + 10y = -28

7x - 3y = 28

--------------------------

           7y = 0

             y = 0

7x - 10y = 28

7x - 10(0) = 28

7x = 28

÷7   ÷7

----------------

x = 4

(x, y)

(4, 0)

I hope this helps!

Answer:

x-intercepts for 7x - 10y = 28:  

(4,0)

y-intercepts:

(0, -14/5)

x-intercepts for 7x - 3y = 28:

(4, 0)

y-intercepts:

(0, -28/3)

Step-by-step explanation:

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image

Answers

Answer:

d) 189.3 in²

Step-by-step explanation:

Area of rectangle is,

→ w × l

→ 10 × 15

→ 150 in²

Area of semi circle is,

→ (1/2)πr²

→ (1/2) × 3.14 × (5)²

→ 1.57 × 25

→ 39.3 in²

Now the total area will be,

→ 150 + 39

→ 189.3 in²

Thus, total area is 189.3 in².

The midpoint of AB is M (3, -1). If the coordinates of A are (8, 4), what are the coordinates of B?

Answers

The coordinates of B are (15,-6) :)

If angle 1 is 25 degrees in the parallelogram pictured above, what is angle 2

if q is 1x+ 10 and AC is 7x+8 what is the length of AC? Round your answer to the nearest hundredth

Answers

Applying the properties of a parallelogram:

1. Length of AC = 24.8 units

2. x = 1

What are the Properties of a Parallelogram?

Some properties of parallelogram we need to recall in  order to solve the problem given are:

They have two pair of sides that are parallel to each other and also of the same length.They have two diagonals that bisect each other into equal halves.

1. q = 1x + 10

AC = 7x + 8

Therefore:

q = 1/2(AC) [based on the property of a parallelogram]

Substitute

x + 10 = 1/2(7x + 8)

Solve for x

2(x + 10) = 7x + 8

2x + 20 = 7x + 8

2x - 7x = -20 + 8

-5x = -12

x = -12/-5

x = 2.4

Length of AC = 7x + 8 = 7(2.4) + 8

Length of AC = 24.8 units

2. x + 8 = 7x + 2 [based on the property of a parallelogram]

x - 7x = -8 + 2

-6x = -6

-6x/-6 = -6/-6

x = 1

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HELP!! PLS JT WONT TAKE LONG. IS THIS PHOTO CURVE A NORMAL DISTRIBUTION. WHY OR WHY NOT.

Answers

Answer:

no, it isn't symmetrical

Step-by-step explanation:

give me brainliest pls

<1 and <2 form a linear pair. If m<1 = (4x + 12)°
and m<2 = (6x - 2), find the measure of each
angle.

Answers

Answer: x = 17

Step-by-step explanation:

Approximately 71% of the Earth’s surface is water. The total surface area of the Earth is approximately 5.1 x 1014 m2. How many square meters of the Earth’s surface is not water?

Answers

Answer:

1.5 × 10^14 m²

Step-by-step explanation:

71% of the surface is covered with water.

The total surface of the Earth is 100% of the surface.

100% - 71% = 29%

29% of the surface is not covered with water.

29% of 5.1 × 10^14 m² =

= 0.29 × 5.1 × 10^14 m²

= 1.479 × 10^14 m²

= 1.5 × 10^14 m²

{ | ∈ and 3 ≤ < 9} ROOSTER MODE

Answers

The rooster form of the given set is {3, 4, 5, 6, 7, 8}

What is the rooster form of set?

The contents of a set can be described by listing the elements of the set, separated by commas, inside a set of curly brackets. This way of describing a set is called roster form.

Given a set, {I ∈ ≤3<9}

Converting in rooster form, {3, 4, 5, 6, 7, 8}

Hence, The rooster form of the given set is {3, 4, 5, 6, 7, 8}

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A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D

Answers

The required leaves values for the given stems are calculated below.

What is Stem-and-Leaf plot?

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

According to question:

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

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If fx)=1/9x-2, what is f¹(x)?
0 f¹(x)= 9x + 18
0 f¹(x)= 1/9x+ 2
0 f¹(x)= 9x+2
0 f¹(x)= -2x + 1/9

Answers

Answer:

f⁻¹(x)= 9x + 18

Step-by-step explanation:

1. Replace f(x) with x, and x with y:  x=1/9y-2

2. Solve for y:

   x=1/9y-2

   9x=y-18

   9x+18=y

3. Replace y in step 2 with f⁻¹(x)

How many ways can 5 couches snd 7 beds be chosen from a shipment off 11 couches shipme b ts and 10 bed shipments

Answers

The number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that, the total number of couches and beds will be 11 and 10.

We have to find a number of ways for the 5 couches and 7 beds are chosen from a shipment.

The different methods are there to select 5 couches and 7 beds from a shipment of 11 couches and 10 beds obtained as,

=11C₅× 10C₇

=462×120

=55440

Thus, the number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440

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The price of a gallon of unlead gas has risen to $2.88 today. yesterdays price was $2.83. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

I’m probably wrong I think it is $2.90

Hope this helps!
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Joey walks 4 kilometers to soccer practice. How many meters does he walk?

Answers

Answer:

ANSWER

Step-by-step explanation:

1 kilometer = 1000 meters.

4 kilometer times 1000 meters = 4000 meters

Answer: 4000 meters

Step-by-step explanation:

4 x 1000 = 4000

If a=3 and b=-2i, then find the value of the ab^{2} in fully simplified form.

Answers

Imaginary Numbers

[tex]i = \sqrt{-1}[/tex]

Solving the Question

We're given:

a = 3b = -2i[tex]ab^2[/tex] = ?

[tex]ab^2[/tex]

⇒ Plug in the values for a and b:

[tex]=(3)(-2i)^2[/tex]

⇒ Rewrite i as [tex]\sqrt{-1}[/tex]:

[tex]=(3)(-2\sqrt{-1})^2[/tex]

⇒ Simplify:

[tex]=(3)(-2)^2(\sqrt{-1})^2\\=(3)(4)(-1)\\=-12[/tex]

Answer

-12

mean of 1/3 and - 2/5

Answers

Answer:

-1/30

Step-by-step explanation:

add the two numbers and divide by 2

The value of a brand new car depreciates 10% when leaving the agency and another 5% after the first year of use. After one year of use, the value of a certain automobile is $51,300.00. Which of the following mathematical expressions correctly represent the value (x) of this automobile zero km? x times open parentheses 0 comma 10 plus 0 comma 05 close parentheses equals 51300 double right arrow x equals 342000 x times open parentheses 0 comma 90 plus 0 comma 95 close parentheses equals 51300 double right arrow x equals 26308 x equals 51300 plus 51300 over 10 plus 51300 over 5 double right arrow equals 66690 x equals 51300 minus open parentheses 51300 over 10 plus 51300 over 5 close double right arrow x equals 35910 x times 0 comma 90 times 0 point 95 equals 51300 double right arrow x equals 60000​

Answers

ALGEBRAIC EXPRESSIONS

The value of the car zero km is given by the expression x = 60000.

LET ME EXPLAIN SOMETHING:

An algebraic expression is one that has several operations between numbers and letters (unknowns): addition, multiplication, subtraction, division, potentiation, rooting, etc.

LET'S GO TO THE SOLUTION:

Let x be the initial value of the car, we know that it depreciates 10% when leaving the agency and another 5% after one year. If the value of this car is $51,300.00 after 1 year, we will have to:

When you leave the agency, your value decreases by 10%:

x·(100% - 10)% = 90% of x = 0.9x

After a year, its value decreases by 5%:

0.9x·(100% - 5)% = 95% of 0.9x = 0.855x

0.855x = 51300

x = 60000

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Last year, 769 of the 1,307 residents in a small town owned more than one vehicle.

Use this historical data to find the probability that a randomly selected resident in this small town owns more than one vehicle.

Answers

Answer:
Around 58 percent

If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. a

Answers

The given statement would be "false".

What is the quick ratio?

A quick ratio compares the company's most liquid assets to a short-term commitment. The quick ratio is computed by adding the cash and equivalents of the firm to its short-term investments and account receivable. Divide the figure by the firm's existing liabilities.

As per the question, there is no reason to believe that if a company sold any goods on credit rather than cash, its current or quick ratio would change that would be false.

Thus, the given statement would be "false".

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The question seems to be incomplete the correct question would be:

Find the statement true or false.

If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. (T/F)

The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )

Answers

The coordinates of the points are given as follows:

Point Z: (3,5).Point P: (6,2).Point T has coordinates (1,4).

The coordinates of the fourth vertex are of:

(4,1).

What are the ordered pairs?

The notation of an ordered pair is given as follows:

(x-coordinate,y-coordinate).

The x-coordinate is the horizontal movement, defined as follows:

Right: positive x-coordinate.Left: negative x-coordinate.

The y-coordinate is the vertical movement, defined as follows:

Up: positive y-coordinate.Down: negative y-coordinate.

The equivalent sides on a rectangle are congruent, hence the equivalent sides are:

TZ and PM.

Hence the missing coordinate M is:

1 unit down from P, hence y = 2 - 1 = 1.2 units left from P, 6 - 2 = 4.

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Find the surface area
3yd
3yd
8yd

Answers

Answer: 72

Step-by-step explanation: 3 x 3 x 8 = 72

3 x 3 = 9

9 x 8 = 72

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