A right circular cylinder has a height of 2214 ft and a diameter 225 times its height.

What is the volume of the cylinder?

Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answer:

See below

Step-by-step explanation:

.2 of an hour   is     .2 * 60 min = 12 min

120 min / 10 times = 12 min per trip

The train takes 12 minutes to go around the museum once.

A mathematical arithmetic operation is multiplication. Moreover, it is the practice of repeatedly adding the same expression kinds.

Example: 2 x 3 means that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A toy train that travels the length of a train museum is present. In two hours, the train travels roughly ten times.

The error in the student's work is converting 0.2 hours to 20 minutes. 0.2 hours is equal to 12 minutes, not 20 minutes.

To correct the student's work, we can multiply 0.2 by 60 to convert it to minutes:

0.2 hours × 60 minutes/hour = 12 minutes

Therefore, it takes 12 minutes for the train to go around the museum 1 time.

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Debble uses 8 ounces of apples to make one serving of applesauce.

12 servings of applesauce can she make with 6 pounds of apples.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Debble uses 8 ounces of apples to make one serving of applesauce.

There are 16 ounces in 1 pound

1 ounce = 1/16

8 ounces = 1/16 x 8

 = 0.5 pounds

8 ounces of apples to make one serving of applesauce.

0.5 pounds apples = 1 serving of applesauce.

1 pound of apples = 1 / 0.5 serving of applesauce.

6 pounds of apples =

= [tex]\frac{1}{0.5} \times 6\\\\\frac{60}{5}\\ \\12[/tex]

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Answer:

group like terms and solve

Answer:

D. 81/m^7.

Step-by-step explanation:

(3m ^ -4)^3(3m^5)

= (3/ m^4) ^3 (3m^5)

= 3^3/ m^12)(3m^5)

= 81/m^7.

Answer:

71.98

[tex]d=2\sqrt{ \frac{A}{\pi }} = 2 * \sqrt{\frac{4069.44}{\pi }}[/tex] ≈ 71.98175 rounded to hundred-thousandths

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[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]

[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]

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[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

[tex]\fbox{X = 24}[/tex]

Solution:

Given expression ➟ 3(2x-5) = 4x + 33,

using distributive property open the above bracket,

➳ 3×2x - 3×5 = 4x + 33

Using BODMAS solve the L.H.S,

➳ 6x - 15 = 4x + 33

now arrange the like terms aside,

➳ 6x - 4x = 33 + 15

➳ 2x = 48

➳ x = 48/2

➳ x = 24

the given expression is true for x = 24

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Answer:

square root of 39

Step-by-step explanation:

5^2+b^2=8^2

25+b^2=64

64-25=39

( 3x+8 ) ( 7x-2 )

= 21x² + 56x - 6x -16

= 21x² + 50x -16

HOPE IT HELPS :)

Answer:

base= 9 ft

height= 36 ft

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base and the height of the triangle be b and h ft respectively.

162= ½ ×b ×h

Given that h= 4b,

162= ½ ×b ×4b

162= ½(4b²)

162= 2b²

Divide both sides by 2:

b²= 81

Square root both sides:

b= 9

h= 4b

h= 4(9)

h= 36

Thus, the lengths of the base and height are 9 and 36 ft respectively.

Answer:

D

Step-by-step explanation:

In the first year the height of the plant is 3 feet, the second year is 6 feet etc.

Answer:

Lateral Area = 906.3

Surface Area = 461.8

Step-by-step explanation:

1. Find Values:

Diameter = 14

Radius = 7

Height = [tex]\sqrt{19^{2}-7^{2} }[/tex]=17.7

2. Find Lateral Area:

LA= [tex]\frac{1}{3}[/tex] * PI * [tex]r^{2}[/tex] * h

LA = 906.3

3. Find Surface Area:

SA = PI * r * slant height + (2 * PI * r)

SA =  461.8

Answer:

[tex]2n=\dfrac{15}{2}[/tex]

Multiply both sides by 2:

[tex]\implies 2 \cdot 2n=2 \cdot \dfrac{15}{2}[/tex]

[tex]\implies 4n=15[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4n}{4}=\dfrac{15}{4}[/tex]

[tex]\implies n=\dfrac{15}{4}[/tex]

[tex]\dfrac14=\dfrac{n}{5}[/tex]

Multiply both sides by 5:

[tex]\implies 5 \cdot \dfrac14=5 \cdot \dfrac{n}{5}[/tex]

[tex]\implies \dfrac54=n[/tex]

[tex]\implies n=\dfrac54[/tex]

Answer:

Step-by-step explanation:

2n = 15/2

Divide both sides b y 2:

n = 15/2 / 2

   = 15/2 * 1/2

    = 15/4.

1/4 = n / 5

Multiply both sides by the LCM (20):

20/4 = 20n/5

5 = 4n

n = 5/4.

Answer:

Step-by-step explanation:

In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.

Here, that post/pre ratio is 3/4 = 0.75.

Answer:

  f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}

Step-by-step explanation:

To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.

__

The domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.

The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.

The first piece can be written ...

  f(x) = x-3 for x ≤ -1

__

The domain is shown as 5 to ∞, with 5 not included.

The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...

  y -(-1) = -3(x -5)

  y = -3x +15 -1 = -3x +14

The second piece can be written ...

  f(x) = -3x +14 for x > 5

__

Putting these pieces together, we have ...

  [tex]\boxed{f(x)=\begin{cases}x-3&\text{for }x\le-1\\-3x+14&\text{for }5 < x\end{cases}}[/tex]

_____

Additional comment

Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, x > 5.

The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)

[tex]\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)[/tex]

The area of the triangle RTS is (8×4) - 1/2 (16+12+10).

More about the geometry link is given below.

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Answer:Option A

Step-by-step explanation:

Answer:

20 + 10(x) = total cost

Step-by-step explanation:

x represents the number of messages, so you multiply it by 10. 20 is a fixed number so you just add it without changing its value.

Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees. So, x = 360-88-142-106=24 degrees

Answer:

[tex]b^2 = 14[/tex]

Step-by-step explanation:

log(base)(power) = (exponent).

In this case: logb(14) = 2

Note the variable/number in place of each term. Set the equation:

base^power = exponent

[tex]log_b 14 = 2\\b^2 = 14[/tex]

[tex]b^2 = 14[/tex] is your answer.

~

Answer:2.4 isn’t occupied, whilst 13.3 is full

Step-by-step explanation: answerrr

figure IMQU vertically over +4

Answer:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Step-by-step explanation:

hope this helps if does mark brainllest

The triangles ABC and EDC have corresponding sides

The triangles ABC and EDC are similar

The given parameters are:

ED = 8, DC = 10, EC = 12, AB = 12

BC = 15 and AC = 21

To determine that the triangles are similar, we simply divide the corresponding sides to determine the scale factor (k).

So, have:

k = AB/ED = BC/DC

This gives

k = 12/8  = 15/10

Evaluate the quotients

k = 1.5 = 1.5

The scale factors are equal

Hence, the triangles ABC and EDC are similar

Readmore about similar triangles at:

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Step-by-step explanation:

The coin can result in one of two possibilities. For each of those . . .

The cube has 6 possibilities.

Total possibilities for the coin and the cube = 2 x 6 = 12

Answer:

A

Step-by-step explanation:

You can do 22/4 and that will give you 5.5. Since A gives the multiply chart for 5.5 to 4, the answer is A

Answer:

1. B = 6 m²

2. h = 2 m

3. V = 12 m³

Step-by-step explanation:

the base is a right triangle

Then

[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]

____________

The height of the prism is the length of the segment that join the base to its opposite face

Then

h = 2m (given)

___________

The volume of the prism :

[tex]V=B\times h=6\times 2=12 m^3[/tex]