Which expression is equivalent to ?

9514 1404 393

Answer:

  5000π mm³ ≈ 15,700 mm³

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(10 mm)²(50 mm) = 5000π mm³

Using 3.14 for π, the volume is ...

  5000(3.14) mm³ = 15,700 mm³

Answer:

length=x-4

Step-by-step explanation:

Answer:

x = 55° and y = 25°

Step-by-step explanation:

Since we have two triangular patios with angles  (x + 5)°, (y + 15)°, and 80° and the second patio has angles, (x + 25)°, 40°, and 60° respectively, and the sum of angles in a triangle is 180, we have that,

(x + 5)° + (y + 15)° + 80° = 180° and

(x + 25)° + 40° + 60° = 180°

Simplifying both expressions, we have

x + 5° + y + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

collecting like terms, we have

x  + y + 5° + 15° + 80° = 180° and

x + 25° + 40° + 60° = 180°

Adding the like terms, we have

x  + y + 100° = 180°  and

x + 125° = 180°

So,

x  + y = 180° - 100° and

x = 180° - 125°

Thus,

x  + y = 80°   and

x = 55°  

So, y = 80° - x = 80° - 55° = 25°

So, x = 55° and y = 25°

Answer: 24 cm²

Step-by-step explanation:

To find the area, first find the width of the rectangle.

Perimeter = (2 * Length) + (2 * Width)

20 = (2 * 6) + (2w)

20 = 12 + 2w

2w = 20 - 12

w = 8/2

w = 4 centimeters

Area = Length * Width

= 6 * 4

= 24 cm²

Given:

Number of apples purchased = 4

Number of oranges purchased = 7

To find:

The ratio of apples to oranges in two ways.

Solution:

Ratio of apples to oranges is:

[tex]Ratio=\dfrac{Apples}{Oranges}[/tex]

After substituting the given values, we get

[tex]Ratio=\dfrac{4}{7}[/tex]

[tex]Ratio=4:7[/tex]

[tex]Ratio=4\text{ to }7[/tex]

Therefore, the correct options are B and D.

Answer:

68

Step-by-step explanation:

2a

2x34(adding value of a)

68

Answer:

x = 11

Step-by-step explanation:

24+4x=6x+2

substract 2x from both sides 4x-4x and 6x -4x

24 = 2x + 2

Substract 2 from both sides 24-2 and 2-2

22 = 2x

Divide by 2 to both sides 22/2 and 2x/2

x = 11

Answer: 8

Step-by-step explanation:

Right on edge!

Answer: X = -12

Step-by-step explanation:  1)  12 + x/4 = 9

                                              2)  12 + x/ 2^2 = 9

                                              3)   x/ 2^2  + 12 = 9  

Answer:

A= pi r²

Step-by-step explanation:

Sorry i dont know how to do the pi symbol

Answer:

( x + 2 )² + ( y - 1 )² = 25

Step-by-step explanation:

Circle equation - ( x - h )² + ( y - k )² = r²

Important notes:

(h,k) = center

r = radius

The first step would be to find the center

( it's hard to explain how to find the center point virtually but the center point is at (-2,1) )

Like stated before ( h , k )  = center point

* replace center point with (-2,1) *

( h , k ) = ( -2 , 1 )

h = -2

k = 1

* plug in the h and k values into the circle equation *

now we have ( x - ( -2) )² + ( y - 1 )²

Now to find the radius

We can find the radius by using the distance formula with the center point and any point on the circle's outline

The point chosen can vary but i chose (3,1)

Because the y value of the chosen point and the y value of the center are the same we can simply subtract the larger x value by the smaller x value to find the radius

3 - (-2)

the two negative signs cancel out

3 + 2 = 5

So the radius equals 5

* plug in the value of the radius into the equation *

Now we have

( x - (-2) )² + ( y - 1 )² = 5²

our final step is to simplify

- (-2) the two negative signs cancel out and it turns into +2

5² = 25

Our final answer would be ( x + 2 )² + ( y - 1 )² = 25

Answer:

12 years, the slope is 7/2 so if you apply that then its 12 years

Step-by-step explanation:

Answer:

you forgot the attachment file though :(

Answer:

down below

Step-by-step explanation:

so the volume of a cone is 1/3 of the volume of the cylinder.

[tex]V=\frac{1}{3} *108\pi \\V=36\pi[/tex]

Answer:

B) 36π

Step-by-step explanation:

cone volume = 1/3 cylinder volume so:

1/3(108π) = 36π

Answer:

the correct answer is b :)))))!!!

Answer:

153

Step-by-step explanation:

Answer:

18+26+37+36+8+28 = 153

hope this helps!

Answer:

since A is getting smaller it cant be the last 2, so its either 1/2 or 3/4 and a 1/2 dilation would be wayy smaller than that. so I'm thinking its 3/4  

Step-by-step explanation:

lmk if this helps :)

Answer:

(6/2)² = 3² = 9

6²/2² = 36/4 = 9

Answer:

9

Step-by-step explanation:

6/2 is 3

squaring three we get 3 to  the power of two or 3x3

3x3=9

3 squared is 9

Answer:

Look at the explanation

Step-by-step explanation:

From this equation, we know our point slope form: y-4= 1/2(x-4)

From here, we also know our point: (4,4)

Our slope is 1/2

We first plot (4,4) on the graph. Then we graph the slope by moving one space up from (4,4) and moving over two spaces.

Our graph would look something like this:

I d k ok soourrrrru okokikokkkkk

The equations are ABC and the word stories are 123

The answers are as followed

C and 1

A and 2

B and 3

Hope this helped and have an amazing day :)

-yO mAmA

Answer:

1st story: 3(x+5) = 17

2nd story: 3x+5 = 17

3rd story: 5x+3 = 17

Answer:

B-there is a relative minimum at x=6

Step-by-step explanation:

Answer:

x = 2.66666667

Step-by-step explanation:

3(x + 1) = 11

We multiply both x and 1 by 3 and get

3x + 3 = 11

Now we subtract 3 from both sides

3x + 3 - 3 = 11 - 3

3x = 8

Now divide both sides by 3

3x/3 = 8/3

x = 2.66666667

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

Monday:480 (E)

Tuesday: 125(J)

Step-by-step explanation:

Monday: Volume= L*W*H

12*5*8-480

Tuesday: Volume= E*E*E

5*5*5=125

Answer:

(x+1)²+(y-2)² = 25

Step-by-step explanation:

Standard equation of the circle is expressed as;

(x-a)²+(y-b)² = r²

(a,b) is the center of the circle

r is the radius

Get the radius

r = √(x2-x1)²+(y2-y1)²

r = √(2+1)²+(6-2)²

r = √3²+4²

r = √9+16

r = √25

r = 5

Substitute into the formula

(x-a)²+(y-b)² = r²

a = -1, b = 2, r = 5

(x-(-1))²+(y-2)² = 5²

(x+1)²+(y-2)² = 25

This gives the required equation

Answer:he eighth sweater costs $29

Step-by-step explanation:

Let the price of the eighth sweater be re[presented as X

We know that

Mean Price =Total sum of cost of sweater bought/ Number of sweater'

Plugging in our known values we have that  

40=$50+ $55+ $30+ $35+ $39+ $40 + $42+X  /8

8 X 40 =291 +X

320=291 +X

X =320-291

X=29

Therefore, the eighth sweater costs $29

Answer: 29

Step-by-step explanation:

I got a question and im  anwsering here bc i want the points either way how is this a high school question im in 6th this is a hw problem

Answer:

23 degrees

Step-by-step explanation:

First add a diameter. The triangle \pink{ABD}ABDstart color #ff00af, A, B, D, end color #ff00af is isosceles as \pink{AB}ABstart color #ff00af, A, B, end color #ff00af and \pink{BD}BDstart color #ff00af, B, D, end color #ff00af are radii, so must be equal. Therefore, \pink{\angle{BAD}}∠BADstart color #ff00af, angle, B, A, D, end color #ff00af and \orange{\angle{ADB}}∠ADBstart color #ffa500, angle, A, D, B, end color #ffa500 are equal. Since, the angles in a triangle sum to 180^\circ180   180∠ABD+∠BAD+∠ADB∠ABD+2⋅∠ADB∠ABD===180∘180∘180∘−2⋅∠ADB

So, \blue{\angle{ABE}} = 2 \cdot \orange{\angle{ADB}}∠ABE=2⋅∠ADBstart color #6495ed, angle, A, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, B, end color #ffa500. We can also create an isosceles triangle, \pink{BCD}BCDstart color #ff00af, B, C, D, end color #ff00af.Using the same argument we can find that, \blue{\angle{CBE}} = 2 \cdot \orange{\angle{CDB}}∠CBE=2⋅∠CDBstart color #6495ed, angle, C, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, C, D, B, end color #ffa500.∠ABC=∠ABE−∠CBEstart color #6495ed, angle, A, B, C, end color #6495ed, equals, start color #6495ed, angle, A, B, E, end color #6495ed, minus, start color #6495ed, angle, C, B, E, end color #6495ed

\orange{\angle{ADC}} = \orange{\angle{ADE}} - \orange{\angle{CDE}}∠ADC=∠ADE−∠CDEstart color #ffa500, angle, A, D, C, end color #ffa500, equals, start color #ffa500, angle, A, D, E, end color #ffa500, minus, start color #ffa500, angle, C, D, E, end color #ffa500

Hint #1010 / 11

Since \blue{\angle{ABE}} = 2 \cdot \orange{\angle{ADE}}∠ABE=2⋅∠ADEstart color #6495ed, angle, A, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, E, end color #ffa500 and \blue{\angle{CBE}} = 2 \cdot \orange{\angle{CDE}}∠CBE=2⋅∠CDEstart color #6495ed, angle, C, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, C, D, E, end color #ffa500, \blue{\angle{ABC}} = 2 \cdot \orange{\angle{ADC}}∠ABC=2⋅∠ADCstart color #6495ed, angle, A, B, C, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, C, end color #ffa500

Hint #1111 / 11

So, \orange{\angle{ADC}} = \frac{1}{2} \cdot \blue{46^\circ} = 23^\circ∠ADC=  

2

1

​  

⋅46  

∘

=23  

∘

start color #ffa500, angle, A, D, C, end color #ffa500, equals, start fraction, 1, divided by, 2, end fraction, dot, start color #6495ed, 46, degrees, end color #6495ed, equals, 23, degrees

Answer:

Days payable outstanding (DPO)