A cone has a height of 30 centimeters and a radius of 20 centimeters. In terms of , what is the volume of the cone?

Answer:

[tex]\small \sf \frac{2}{3} = x \\ [/tex]

Step-by-step explanation:

Solve for x;

2x - ( x - 2 ) = 4x

distribute minus sign through parantheses

combine like terms

subtract x from both side

Divide each side by 3

[tex] \small \sf \frac{2}{3} = \frac{3x}{3} \\ [/tex]

[tex]\small \sf \frac{2}{3} = x\: \\ [/tex]

Answer:

Following are the response to the given question:

Step-by-step explanation:

Move b a bit further if the angle between cd and ab changes when you move b if you want to make a perpendicular point to cd The angle BEC is 90 ° for making the AB line perpendicular to the line CD to transfer point B to the angle between the two lines.

Answer:

3.75

Step-by-step explanation:

r²+9²=(6+r) ²

r²+81 = 36+12r + r²

81=36+12r

=> 12r = 45

r = 45/12 = 3.75

Answer:

d

Step-by-step explanation:

it is opened up because the voeff of X^2 tetm is positive

First solution :

Say, x = 0

→ 2x + 3y = 4

→ 2(0) + 3y = 4

→ 0 + 3y = 4

→ 3y = 4

→ y = 4/3

Second solution :

Say, x = 1

→ 2x + 3y = 4

→ 2(1) + 3y = 4

→ 2 + 3y = 4

→ 3y = 4 - 2

→ 3y = 2

→ y = 2/3

Third solution :

Say, x = 2

→ 2x + 3y = 4

→ 2(2) + 3y = 4

→ 4 + 3y = 4

→ 3y = 4 - 4

→ 3y = 0

→ y = 0 ÷ 3

→ y = 0

Step-by-step explanation:

113,1 cm^3

The volume of the sphere is V = 113.097 cm³

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 3 cm

Let the volume of the sphere be V

The formula for the volume of a sphere is:

V = (4/3)πr³

where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting r = 3 cm into the formula, we get:

V = (4/3)π(3 cm)³

V = (4/3)π(27 cm³)

V = (4/3)(3.14159)(27 cm³)

V = 113.097 cm³

Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.

To learn more about sphere click :

https://brainly.com/question/27933834

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Answer:

17150 ft²

Step-by-step explanation:

Given the ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 175 : 40 = 35 : 8 , then

ratio of areas = 35² : 8² = 1225 : 64

let x be the area of AT & T Stadium then by proportion

[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )

64x = 896 × 1225 = 1097600 ( divide both sides by 64 )

x = 17150

The AT & T screen has an area of 17150 ft²

Answer:

I can't understand this language sorry

Answer:

Equation: 4x+1+75=180

X= 26

105°

Step-by-step explanation:

When added, the two angles would create a flat angle of 180°, so just add the two angles:

4x+1+75=180

4x+76=180

   -76   -76

4x=104

x=26

Input the solved x value into the angle to get the angle measure

4(26)+1 = 105

Answer:

girth is better than length. your welcum ;)

Answer:

D

Step-by-step explanation:

bbbbuujbhhtdddfyuuiiiiiooohhgff

Answer:

D...

Step-by-step explanation:

d is the answer hope it helps

Answer:

9

Step-by-step explanation:

4x-7 + 3x = 5x -1

7x - 7 = 5x +1

2x = 8

x = 4

VW = 4x - 7

      = 4(4) - 7

      = 16-7

      = 9

Answer:

1: 98

2: 82

3: 98

4: 82

Step-by-step explanation:

So 2 is 82deg then the opposite is also 82 so 4 is 82deg

Then 82+82 = 164deg, and we remain with 360deg-164deg which is = 196.

Since the other two angles will be equal (they are opposite each other) we can decide 196/2 = 98

So 3 and 1 are 98deg

Answer:

Step

<2 and <4 are vertically opposite. They are equal

<2 = 82               Given

<4 =  82              Vertically opposite to a given

<3 = 180 - 82       <3 and <4 are supplementary. They are on the same straight line.

<3 = 98

<1 = 98                 Vertically opposite  angles are equal.

Answer:

150 feet2 50 feet I hope this helps!

Step-by-step explanation:

Answer:

Decompose each number:

\begin{gathered}6) 90 = 9 \times 10\\\\7) 40 = 4 \times 10\\\\8)890 = 89 \times 10\\\\9) 300 = 3 \times 100\\\\10) 7000 = 7 \times 1000\\\\11)3700 = 37 \times 100\\\\\end{gathered}

6)90=9×10

7)40=4×10

8)890=89×10

9)300=3×100

10)7000=7×1000

11)3700=37×100

Correct the error. Write the correct decomposition:

\begin{gathered}12) 560 = 56 \times 10\\\\13) 4300 = 43 \times 100\\\\14) 6000 = 60 \times 100 \ \ or \ \ 6 \times 1000\end{gathered}

12)560=56×10

13)4300=43×100

14)6000=60×100 or 6×1000

Step-by-step explanation:

please check the attachment

Answer:

Choosing five CDs where not all of them are pop.

Step-by-step explanation:

Answer:

B)  choosing five CDs where not all of them are pop

Step-by-step explanation:

E2020

Answer:

76%

Step-by-step explanation:

Number of students=25

Number of girls=6

Number of boys=25-6=19

% of boys=number of boys/number of students x 100

=19/25x100

=19x4=76%

Answer:

104

Step-by-step explanation:

18 for the bottom section, 35 for the middle section, and 51 for the top triangle.

Answer:

(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )

Step-by-step explanation:

x + y = -9    --> y = -x -9  

4x + y = -19 --> y = -4x - 19

Graph accordingly.

Answer:

The tenths place.

Step-by-step explanation:

If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.

Answer:

tenths place

Step-by-step explanation:

Answer:

(-3,0)

Step-by-step explanation:

Step 1 identify coordinates of A

The coordinate of A is (-6 , 2)

Step 2 apply translation by adding 3 to the x value and subtracting 2 from the y value

(-6 + 3 , 2 - 2)

Simplify

(-3 , 0)

Answer: [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Step-by-step explanation:

Given

ABCD is a parallelogram

Side AD is 9 cm more than twice AB i.e.

[tex]AD=9+2AB[/tex]

Also, for parallelogram

[tex]\Rightarrow AB=CD,BC=CD[/tex]

Perimeter is the sum of the sides

[tex]\therefore AB+BC+CD+AD=96\\\Rightarrow AB+AD+AB+AD=96\\\Rightarrow AB+AD=48\\\\\text{Substitute the value of AD}\\\Rightarrow AB+9+2AB=48\\\Rightarrow 3AB=39\\\Rightarrow AB=13[/tex]

So, [tex]AD=35\ cm[/tex]

Thus, [tex]AB=CD=13\ cm\ \text{and}\ BC=AD=35\ cm[/tex]

Answer: AB=11

AD=31

BC=31

CD=11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

Answer:

The size of your deposit should be $13,023.92.

Step-by-step explanation:

First, the real interest has to be calculated using the following formula:

r = [(1 + i) / (1 + inf)] - 1 ..................... (1)

Where;

i = market interest rate = Interest rate on the account = 12%, or 0.12

r = real interest rate = ?

inf = inflation rate = 10%, or 0.10

Substituting the values into equation (1) and solve for r, we have:

r = [(1 + 0.12) / (1 + 0.10)] - 1 = 0.0181818181818183

Since you will need to pay ksh144,000 at beginning of first in a 4- year program, this implies that the relevant to use in calculating the size of the deposit is the formula for calculating the Future Value (FV) of an Annuity Due as follows:

FV = P * (((1 + r)^n - 1) / r) * (1 + r) ................................. (2)

Where,

FV = Future value or the amount needed to pay on the 20th birthday = ksh144,000

P = Fixed annual payment or size of the deposit = ?

r = real interest rate = 0.0181818181818183

n = number of years = 20 - 10 = 10 (Since you will make a deposit 1 year from today annually and continue to make an identical deposit each year up to and including the year you begin college.)

Substituting the values into equation (2) and solve for P, we have:

144,000 = P * (((1 + 0.0181818181818183)^10 - 1) / 0.0181818181818183) * (1 + 0.0181818181818183)

144,000 = P * 10.8591414092614 * 1.0181818181818183

144,000 = P * 11.0565803439752

P = 144,000 / 11.0565803439752

P = $ 13,023.92

Therefore, the size of your deposit should be $13,023.92.

Answer:

Step-by-step explanation:

So we know angles A and B add up to 180 degrees.

This gives us x+2 + 2x+4

We can simplify this to 3x+6 = 180

3x = 174

x=58

Now we know value of X, we can use it to find A's angle

Since, a = x + 2

a = 60

Answer: 11

Step-by-step explanation:

g(x)=(2x+1)

g(x)=5

g(5)=2(5)+1

     =10+1

g(5)     =11

Answer:

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression.  

Step-by-step explanation: