The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters. The number of times one needs to use the completely filled cone to completely fill the cylinder with water is ?

Answers

Answer 1
The answer will be 24 times.
Answer 2

Solution:

Let volume of cylinder be K times more than volume of Cone.

⇒K × Volume of Cone = Volume of Cylinder

[tex]K \times \frac{\pi\times r^2 \times h }{3}=\pi \times R^2 \times H\\\\K \times 5^2 \times 10= 3 \times 10^2 \times 20\\\\250 K=3 \times 100 \times 20\\\\K=\frac{6000}{250}\\\\K=24[/tex]

⇒Number of times one needs to use the completely fill cone to completely fill the cylinder with water is=24


Related Questions

Which TWO transformations could show that triangle A and triangle B are similar triangles?

Answers

May be it's B
..
...
it's translation and Dilation


Which regular polygon will most resemble a circle?

square
32-gon
24-gon
dodecagon

Answers

the  answer is a 32-gon

Answer:

it is a 32-gon

Step-by-step explanation:

Help Please!!!
Solve the following system of equations and show all work.

y = x2 + 3
y = x + 5,

Answers

x = -1 and x = 2 Let's take the two equations and solve: y = x^2 + 3 y = x + 5 Since we're looking for the point where the two equations are equal to each other, let's start by setting them equal to each other, getting x^2 + 3 = x + 5 Now solve for x. Start by rearranging into a quadratic equation. x^2 + 3 = x + 5 x^2 + 3 - x - 5 = 0 x^2 - x - 2 = 0 We now need to factor (x^2 - x - 2) and I don't know if you've learned the quadratic formula yet. So let's do it manually. We know that the product of the roots will be -2 and the sum will be -1. So what numbers when multiplied together get -2 and when added get -1? Thinking for a while indicates that the values -2 and 1 work quite nicely. So we have (x^2 - x - 2) = (x - 2)(x + 1) So the solution is x = -1 and x = 2 which will give you y values of 4 and 7 respectively.

what are the approximate solutions of 2x^2-x+10=0? f) -2,2.5 g) -1.97,2.47 h)-2.5,2 i) no solution. help me please. :*

Answers

To solve this problem, Uuse the quadratic equation:  
(-b +/- sqrt(b^2 - 4ac))/2a, 
 where 
 a = 2
 b = -1
 c = 10 
 Solve: 
 (1 +/- sqrt(1 + 4*2*10))/4 
 (1 +/- 9)/4 
 The two solutions are  
 10/4 = 2.5
 (1-9)/4 = -2. The correct answer is f.

Ginger earns $18,500 annually and has 22% of her gross earnings
withheld. What is the net amount of her paycheck each pay period if
she is paid biweekly?
a. $156
b. $555
c. $601.25
d. $169.58

WHOEVER ANSWERS FIRST GETS BRAINIEST

Answers

18500 * 0.78 = 14,430 (net pay)

14430 / 26 = 555

Answer is B. $555

What is this number? +1.25 E -19

Answers

For this case we have a number written in scientific notation.
 By definition we have to:
 The use of this notation is based on base powers 10.
 A number written in scientific notation follows the following pattern:
 [tex]m * 10 ^ e [/tex]
 The number m is called "mantissa" and e the "order of magnitude"
 For this case we have:
 [tex]m = 1.25 e = -19[/tex]
 Using the definition, we have that the number can be rewritten as:
 [tex]+1.25 E -19 = 1.25 * 10 ^ {-19} [/tex]
 [tex] 1.25 * 10 ^ {-19} = 0.000,000,000,000,000,000,125 [/tex]
 Answer:
 
an expression that this number is:
 
[tex] 1.25 * 10 ^ {-19} = 0.000,000,000,000,000,000,125[/tex]

Final answer:

The notation '+1.25 E -19' represents the number in scientific notation, equivalent to 1.25 × 10^-19.

Explanation:

The notation '+1.25 E -19' is likely intended to be represented the number 1.25 × 10-19, which is an example of scientific notation.

The Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in the decimal form. In this context, 'E' stands for exponent, indicating that the number should be multiplied by 10 and raised to the power of -19.

Therefore, +1.25 E -19 means the number is positive and equals 0.000000000000000000125.

Find measure B ???????

Answers

The interior angles in a 4 sided polygon add up to 360°. You are already given two measurements of 90°, so you know that the lastvtwo angles sum to 360-90-90= 180°.
Put this information into an equation and solve for x:
(7x+27)°+(9x-7)°=180°
7x+27°+9x-7°=180°
16x+20°=180°
16x=160°
x=10°
Angle B is (7x+27)°, so just substitute x:
B = 7(10)+27
B = 70+27
B = 97°
The place to start is with this fact: the sum (total) of all the angles of a quadrilateral is 360 degrees.  You know the two right angles (90 degrees each), so

90 + 90 + (7x + 27) + (9x - 7) = 360

Simplify and solve.

180 + 16x + 20 = 360
16x + 20 = 180
16x = 160
x = 10

Now plug this in for x in the two "algebra" angle measures.

witch property is used to simplify 3 C + 9 + 4 C equals 3 C + 4 C + 9

Answers

This is the associative property of addition

use similar triangles EFG and IHG to find the missing distance D.

Answers

If we have similar triangles, we can always use proportions to find the missing side lengths. Since triangle EFG is similar to IHG, that means side EF is similar to side IH, side FG is similar to side HG, and side GE is similar to side GI. When setting up the proportions, it is important to ensure that all similar sides correspond with each other. Here are our proportions: 

6. [tex] \frac{48}{60} = \frac{d}{80} [/tex]



7. [tex] \frac{d}{180} = \frac{78}{45} [/tex]



8. [tex] \frac{d}{140.4} = \frac{27}{18} [/tex]



9. [tex] \frac{d}{64.8} = \frac{211.2}{388.8} [/tex]


To solve these proportions, we cross multiply and divide. This will give us d in each triangle. 

6. d = 64

7. d = 312

8. d = 210.6

9. d = 35.2

someone please show me how to find B, thanks.

Answers

Hello,

Answer B.

Using Thales, 6/9=B/8==>B=48/9=5+1/3.
check the picture below.

recall, if two triangles have a pair of equal angles, Angle Angle, they're similar.

What must be the value of x so that lines c and d are parallel lines cut by transversal p?

12
18
81
99

Answers

check the picture below.

since "y" and 3x+45 are both linear angles, then y + (3x + 45) = 180.

but wait a second!!  "y" is a corresponding angle to 81°, so y = 81° then, therefore,

[tex]\bf y+(3x+45)=180\implies 81+(3x+45)=180 \\\\\\ 126+3x=180 \implies 3x=54\implies x=\cfrac{54}{3}\implies x=18[/tex]

and that can only happen, if c || d.

The value of x so that lines c and d are parallel lines cut by transversal p is 18.

What is a Transversal line?

Transversal lines are lines that passes intersects the two lines on a plane in two different points.

Given are two parallel lines c and d.

p is the transversal line passing through c and d.

The angle at the exterior side of angle 81° is 180° - 81° = 99°

When two parallel lines are intersected by a transversal line, then the angles formed at the corresponding corners of the transversal with each of the parallel line is called corresponding angles.

(3x + 45)° and 99° are corresponding angles.

Corresponding angles are always equal.

(3x + 45)° = 99°

3x = 99 - 45

3x = 54

x = 54 / 3

x = 18

Hence the value of x is 18.

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x varies inversely as v, and x = 48 when v = 8. Find x when v = 64.

Question 17 options:

x = 8

x = 6

x = 64

x = 48

Answers

x=6... HOPE THAT HELPS

Answer:  the correct option is (B) x = 6.

Step-by-step explanation:  Given that x varies inversely as v and x = 48 when v = 8.

We are to find the value of x when v = 64.

Since x varies inversely as v, so we have

[tex]x\propto\dfrac{1}{v}\\\\\\\Rightarrow x=k\dfrac{1}{v}~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}][/tex]

When x = 48 and v = 8, then, we get

[tex]48=\dfrac{k}{8}\\\\\Rightarrow k=48\times8\\\\\Rightarrow k=384.[/tex]

So,

[tex]x=\dfrac{384}{v}~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

Therefore, when v = 64, then from equation (i), we get

[tex]x=\dfrac{384}{64}=6.[/tex]

Thus, the required value of x is 6.

Option (B) is CORRECT.

Explain how to find the number of grams of fat in 2.5 cups of corn if there are 7.87 grams of fat in 1 cup of corn.

Answers

we  have to realize a simple rule of three  

if 1 cup of corn------------------------- > 7.87 g of fat
2.5 cup--------------------------- X


X=2.5*7.87=19.675 gr

the answer is 19.675 grams of fat in 2.5 cup of corn

The number of grams of fat in 2.5 cups of corn is 19.7.

To find the number of grams of fat in 2.5 cups of corn, we can use the following steps:

Multiply the number of cups of corn by the number of grams of fat per cup:

2.5 cups * 7.87 grams/cup = 19.675 grams

Round the answer to the nearest tenth:

19.675 grams = 19.7 grams

Therefore, there are 19.7 grams of fat in 2.5 cups of corn.

Here are some additional things to consider:

The number of grams of fat in corn may vary depending on the variety of corn and the way it is cooked.

The amount of fat in corn is also affected by the amount of oil that is used when cooking the corn.

If you are concerned about the amount of fat in corn, you can choose to cook it without oil or to use a cooking spray instead of oil.

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In this budget, how much money is going toward optional expenses?

Answers

Answer:

$70

Step-by-step explanation:

Let's define the expenses first

Fixed expenses are those expenses that remain constant in all months like mortage payments, rents etc

Flexible expenses also called variable expense are expenses that are used for comfortable living like car maintenance o groceries.

Discretionary expenses are the expenses spent on non essential items like movie tickets, outings etc.

Savings are the expenses that are stored for future plans.

Hence, from the given pie chart the money going for optional expenses is $70 ..

Give an indirect proof of the following statement

If x^2 + x = 4, then x ≠ 2.



Please help :)

Answers

By assuming that x = 2 and substituting this into the original equation x^2 + x = 4, we arrive at a contradiction because 4 + 2 ≠ 4. Thus, we conclude through indirect proof that x cannot equal 2.

To give an indirect proof of the statement If x2 + x = 4, then x ≠ 2, we start by assuming the opposite of what we want to prove, which is that x = 2. Our goal is to show that this assumption leads to a contradiction.

Assume that x = 2. Substituting 2 for x in the original equation gives us (2)2 + 2 = 4 + 2 = 6, which is clearly not equal to 4. This contradicts the original equation x2 + x = 4. Since our assumption that x = 2 leads to a false statement, it follows that x cannot be 2, thereby proving the original statement by contradiction.

The method of assuming the negation and arriving at a contradiction shows that the original statement must be true according to the logical principle of indirect proof. Hence, if x2 + x = 4, then indeed x ≠ 2.

A pack of cinnamon-scented pencils sells for $5.00. What is the sales tax rate if the total cost of the pencils is $5.20?

Answers

calculate the percentage increase,work out the difference (increase) between the two numbers you are comparing. Then divide the increase by the original number and multiply the answer by 100. 

520-500 = 20
20÷500 =.04
.04 ×100= 4%

Final answer:

The sales tax rate is 4%.

Explanation:

To calculate the sales tax rate for the cinnamon-scented pencils, you first need to determine the amount of sales tax paid and then relate that to the original price of the pencils.

The total cost is given as $5.20, and the original price is $5.00.

The difference between these two amounts is the sales tax paid.

Subtract the original price from the total cost to find the sales tax amount:

$5.20 - $5.00 = $0.20.

Next, to find the sales tax rate, divide the sales tax amount by the original price and multiply by 100 to get a percentage:

Sales Tax Rate = ($0.20 / $5.00) x 100 = 4%

Therefore, the sales tax rate is 4%.

A chemical engineer has tested 56 water samples. These samples make up 25% of the total number of samples that need testing.
??
Select from the drop-down menu to correctly identify the total number of water samples that need testing.
??

There are a total of water samples to be tested. choices a. 1.4 b. 14 c. 168 d. 224

Answers

25% can be written as 1/4.

What This tells you, is that 56 is one fourth of the total amounts of samples needing to be tested. Therefore, 56 x 4 is the total amount.

56 x 4 = 224

So 224 is the correct answer.

I hope this Helps!

When the factors of a trinomial are (x - p) and (x - q) then the coefficient of the x-term in the trinomial is:

A. The difference of -p and -q
B. The product of -p and -q
C. The sum of -p and -q
D. The quotient of -p and -q

Answers

Is B i hope this help

The coefficient of the x-term in the trinomial is C. The sum of -p and -q, which is -p - q. therefore ,option C. The sum of -p and -q, which is -p - q is correct.

When the factors of a trinomial are (x - p) and (x - q), you can find the coefficient of the x-term in the trinomial by multiplying these factors together and paying attention to the x-term.

The product of (x - p) and (x - q) is:

(x - p)(x - q) = x^2 - qx - px + pq

Now, notice that the coefficient of the x-term is the sum of the terms that contain 'x,' which are -qx and -px:

Coefficient of the x-term = -qx - px

This can be factored as:

Coefficient of the x-term = x*(-q - p)

So, the coefficient of the x-term in the trinomial is:

C. The sum of -p and -q, which is -p - q

for such more question on coefficient

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Item 15 Question 1 Identify the percent of change as an increase or a decrease. 3/8 to 7/8

Answers

Percent Change Formula:
(New # - Original #)/Original # x 100
If the answer is positive, it's an increase. If it's negative, a decrease.

P= percent
Original #= 3/8
New #= 7/8

P= (7/8-3/8)/3/8 x 100
P= (4/8 ÷ 3/8) x 100
multiply by 3/8 reciprocal/inverse
P= (4/8 x 8/3) x 100
P= 32/24 x 100
P= 1.3333 x 100
P= 133.33% increase

ANSWER:
3/8 to 7/8 is an increase of 133.33%.

Hope this helps! :)

Factor.
16x² + 40x + 25
A) (4x - 5)(4x + 5)
B) (4x - 5)(4x - 5)
C) (4x + 5)(4x + 5)
D) (5x + 4)(5x - 4)

Answers

The answer is C; (4x + 5)(4x + 5) although you can factor it further to (4x-5)²
Factor 16x² + 40x + 25.
First take the square root of a & c, where ax² + bx + c
[tex] \sqrt{16} = 4... \: \sqrt{25} = 5[/tex]
Now see if b (40) = 2×those roots multiplied:
2×4×5 = 2×20 = 40. YES! ✔
Now is b + or -?? b = +40, so we know that the factors will be:
[tex]{( \sqrt{a} + \sqrt{c})}^{2} \\ =( \sqrt{a} + \sqrt{c})( \sqrt{a} + \sqrt{c}) \\ = ( \sqrt{16} + \sqrt{25})( \sqrt{16} + \sqrt{25}) \\ = (4 + 5) (4 + 5)[/tex]
C) (4x + 5)(4x + 5)

A sandbox has a volume of 648 cubic feet. what is the volume, in cubic yards, of the sandbox?

Answers

we know that

1 cubic yards equals to--------------> 27 cubic feet
then
I apply a rule of three
if  1 cubic yards ------------------- 27 ft³
  X----------------------------------> 648 ft³
X=648/27=24 cubic yards

the answer is 24 cubic yards

really easy math problem 5pts!!!

Answers

You're given two angles and the side not between them are congruent, so the AAS theorem applies. (2nd selection)

Geometry Page 420. Can someone please help me?
I need to pass with a good grade.

Answers

41. This is a kite quadrilateral, whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other, because FI=NI, FE=NE, as you can calculate from the given coordinates. However, this is not a rhombus, because the four side lengths are not all equal.

44. The rhombus is centered at (0,0). The two diagonals are evenly divided by the center. SO=OL=SL/2=2a/2=a. S(-a,0), L(a,0). FO=PO=FP/2=4b/2=2b. F(0,2b), P(0,-2b).

45. P(a-b, c).The y coordinate of P is the same as the y coordinate of (-b,c), which is c, because the two points are on the same horizontal line. The x coordinate of P - the x coordinate of (0,0) is the same as the x coordinate of (-b,c) - the x coordinate of (-a,0). So x=-b-(-a)=a-b. P(a-b, c).

46. Suppose the four coordinates of the kite are A(x,y), C(x+2a,y), B(x+a, y+b), D(x+a, y-b). The midpoint of AB is (x+a/2, y+b/2). midBC is (x+3a/2, y+b/2). midCD is (x+3a/2, y-b/2), midAD is (x+a/2. y-b/2). ABCD is a rectangle.

NEED HELP ASAP! Please show work! Thanks!





RANDOM ANSWERS WILL BE MODERATED!

Answers

a) W will be the supplement to Y, so is 50°

b) ∠XOZ = 2∠W, so is 100°. The interior angles of the kite XYZO add to 360, so congruent angles X and Z will satisfy
.. X + Z + 130 +100 = 360
.. X + Z = 130
.. 2Z = 130
.. Z = 65
So ∠OZY = 65°

Look at the following number sequence. 3, 11, 19, 27, . . . Based on the pattern, what are the next two terms? 31, 40 43, 51 35, 43 216, 1728

Answers

The pattern is +8. 11 is eight more than 3, 19 is eight more than 11, 27 is eight more 19. Because of this, the next two terms would be 35 and 43.
The pattern is adding 8 so the answer is 35,43

helppppppppppppppppppppppppppppppppppppppppppppp

Answers

First what you should do for this case is to rewrite the expression carefully to find the correct answer.
 You must respect the properties of the roots.
 Group the terms correctly.
 Answer
 option 2
 See attached graph.

PLEASE HELP AND SHOW ALL WORK

7.04

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.
(4 points each.)

1. 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = quantity four times quantity four n plus one times quantity eight n plus seven divided all divided by six


2. 12 + 42 + 72 + ... + (3n - 2)2 = quantity n times quantity six n squared minus three n minus one all divided by two


For the given statement Pn, write the statements P1, Pk, and Pk+1.
(2 points)

2 + 4 + 6 + . . . + 2n = n(n+1)

Answers

4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7)/6 is false because it isn't even true when n=1. 4 ⋅ 6 = 4(4*1+1)(8*1+7)/6 24 = 4(5)(15)/6 24 = 50 Also 4n(4n+2) is not even the correct formula for the nth term. The correct nth term formula of 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... is (n+3)(n+5). So it's wrong all the way around.

Explanation of mathematical induction proof for two statements and demonstration of P1, Pk, and Pk+1 for another equation.

Mathematical Induction Proof for Statement 1:

Basis Step (P1): Substitute n = 1 into the given expression and prove it true.Inductive Step (Pk → Pk+1): Assume Pk is true and prove Pk+1 using Pk.General Form of the Statement: Use the formula provided to express the statement for all positive integers n.

Mathematical Induction Proof for Statement 2:

Repeat the above steps for the second statement with the provided formula.

P1, Pk, and Pk+1 for 2 + 4 + 6 + ... + 2n = n(n+1): P1 is true, assume Pk is true, then prove Pk+1 using Pk.

Angle f and v are complementary. if the measure of angle f is equal to 2x-5 and the measure of angle v is equal to 3x+15, which is true?

Answers

2x-5 + 3x + 15 = 90
5x + 10 = 90
5x = 80
x = 16

Which statement is true regarding the functions on the graph?

Answers

Well first I have the see the graph, second, I need to see the functions.

2x + 3y = 18 3x -4y > 16. Give the Domain and Range, Slope, and Y-intercept for each line. Graph each equation above on the graph below and show all work. Give the Domain and Range, Slope, and Y-intercept for each line. Explain in detail how you got each answer. 2x + 3y = 18 3x -4y > 16 Slope-Intercept Form: Slope-Intercept Form: Domain: Domain: Range: Range: Slope: Slope: Y-intercept: Y-intercept:

Answers

we have that
2x + 3y = 18
3x -4y > 16

Part A)
2x + 3y = 18 -------> 3y=[18-2x]---------> y=6-(2/3)x  (Slope-Intercept Form)

using a graph tool
see the attached figure

the domain is the interval  (-∞,∞)--------> ( all real numbers)
Domain of a function f (x) is the set of all the values ​​of x for which the function is defined

the range is the interval     (-∞,∞)--------> ( all real numbers)
Range of the function f(x) is the set of all the values ​​that f(x) takes

Slope-Intercept Form------------>  y=6-(2/3)x---------> [y=mx+b]
where
m------> is the slope------------> m=-2/3
Slope=-2/3
Y-intercept is the point for y=0
y=6-(2/3)x-------------> 0=6-(2/3)x--------> x=9
Y-intercept is the point (9,0)

Part B)
3x -4y > 16----------> -4y > 16-3x-----> y < -4+(3/4)x   (Slope-Intercept Form)
using a graph tool
see the attached figure

the domain is the interval  (-∞,∞)--------> ( all real numbers)
Domain of a function f (x) is the set of all the values ​​for which the function is defined

the range is the interval     (-∞,∞)--------> ( all real numbers)
Range of the function f(x) is the set of all the values ​​that f(x) takes

Slope-Intercept Form------------>   y = -4+(3/4)x---------> [y=mx+b]
where
m------> is the slope------------> m=3/4
Slope=3/4
Y-intercept is the point for y=0
y = -4+(3/4)x------------->0= -4+(3/4)x-----> 4=(3/4)x----> 16/3 = x----> x=16/3
Y-intercept is the point (5.33,0)
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