Find the Volume of the cone

Answer:

15

Step-by-step explanation:

x + 0.60(15) = 0.80(x + 15)

x+9=0.8(x+15)

x+9=4(x+15/5)

x+9=4x+60/5

x+9-9=4x+60/5-9

x=15

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Using the concept of perimeter of polygon, the perimeter of figure C is 27cm shorter than total perimeter of A and B

To solve this problem, we have to know the perimeter of the polygon C.

The perimeter of a polygon is the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The perimeter of the figures are;

Using the concept of perimeter of a rectangle;

a. figure A = 2(4 + 11) = 30cm

b. figure B = 2(8 + 4) = 24cm

c figure C = 11 + 4 + 8 + 4 = 27cm

Now, we can add A and B and then subtract c from it.

30 + 24 - 27 = 27cm

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The most accurate way to estimate the percentage of the given value = ¼×66. Which is option C

Percentage is defined as the representation of a given value all over 100 and is given with a symbol of %.

The given value.= 66

The 26% of 66 would be given as follows;

26/100 × 66/1

= 1716/100

= 17.16

Therefore, the most accurate way to represent 26 percentage of 66 would be = ¼ × 66 which would be = 16.5 and is approximately 17.

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Complete question:

Which is the most accurate way to estimate 26% of 66

¼×64

⅔×60

¼×66

⅔×60

Answer:

100-Mn=x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula for circumference of a circle is 2 x pi x r(radius).

Answer:

The circumference of a circle is pretty much just the perimeter of the circle Step-by-step explanation:

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

There are 20 blue fish in the aquarium.

Step-by-step explanation:

If 60% of the fish are red than 40% are blue. That means that 20% fish is 10 fish. 20% = 10 fish. 40% = 20 fish.

It will take 7 days for Claire to sell as many candy bars as Ayden

Claire has sold 8 candy bars and sells 5 more each day

The first term = 8

Common difference = 5

nth term is = a+(n-1)d

= 8 +(n-1)5

= 8 + 5n - 5

= 3 +5n

Ayden has sold 20 candy bars and sells 3 more each day

The first term = 20

Common difference = 3

nth term = a+(n-1) d

= 20 +(n-1)3

= 20 + 3n -3

= 17 + 3n

Then,

3 + 5n = 17 + 3n

5n - 3n = 17 - 3

2n = 14

n = 14/2

n = 7

Hence, it will take 7 days for Claire to sell as many candy bars as Ayden

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To beat the school long jump record, John must jump an additional 5 1/4 inches

From the given question, we are to determine how farther John must jump in order to break the record

From the given information,

"A high school track team's long jump record is 23 ft 1 3/4 in"

and

"John's best long jump is 22 ft 8 1/2 in"

First, we will convert the distances to inches

NOTE: 1 ft = 12 inches

23 ft 1 3/4 in = 276 + 1 3/4 in = 277 3/4 in

22 ft 8 1/2 in = 264 + 8 1/2 in = 272 1/2 in

Now, to determine how farther John must jump, we will subtract the distances

277 3/4 in - 272 1/2 in = 5 1/4 in

Hence, he must jump 5 1/4 in farther

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Answer:

1808.64 IN^3

Step-by-step explanation:

Helium needed = volume of spherical shaped ice cream + volume of cone

Volume of a sphere = 4/3 x pi x r^3

4/3 x 3.14 x 6^3 = 904.32 ft^3

Volume of a cone 1/3 x (nr^2h)

n = 22/7

r = radius  = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

h = height

1/3 x 3.14 x 6^2 x 24 = 904.32

helium needed = 2 x 904.32 = 1808.64 in^3

The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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The recursive formula can be used to represent the given sequence is, \(a_n = a_n_-_1 + 4\).

What is recursive formula?

Any term of a sequence can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic sequence has the recursive formula \(a_n=a_n_-_1+d\). \(a_n=a_n_-_1r\) is the recursive formula for a geometric sequence.

Consider, the given sequence

2, 6, 10, 14, 18, ...

First to find the difference between each term.

6 - 2 = 4

10 - 6 = 4

14 - 10 = 4

18 - 14 = 4

So, the difference between each term is 4.

Therefore, the recursive formula becomes,

\(a_n = a_n_-_1 + 4\)

where \(a_1 =2\)

Hence, the recursive formula can be used to represent the given sequence is, \(a_n = a_n_-_1 + 4\).

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Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

We can simplify the given expression to get:

-11/|-11| = -1

Here we want to rewrite the expression below:

-11/|-11|

First, remember how the absolute value works.

|x| = x  if x  ≥0

|x| = -x if x < 0.

Then we can rewrite the denominator as:

|-11| = 11

Replacing that on the expression we will get:

-11/|-11| = -11/11 = -1

That is the expression simplfied.

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Answer:

Geometric sequence is a sequence in which terms are given by multiplying the previous term by a common ratio.

Answer:

a sequence in which terms are not given by multiplying the previous term by a common ratio

Step-by-step explanation:

The coordinates of each point plotted is shown below;

Above is the graph of the lines AB (black) and CD (red).

The point of intersection of both graphs is given as;

Answer:

n ≤ 4

Step-by-step explanation:

"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3

n-7 ≤ -3

Add 7 to both sides

n ≤ 4

Answer is n ≤ 4

See picture attached for the math

The value of the test statistic is given as follows:

z = 4.47.

The equation to calculate the test statistic using the z-distribution is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = 0.59, p = 0.5, n = 618\)

p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.

Then the test statistic is obtained as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)

z = 4.47.

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The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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9514 1404 393

Answer:

  7 +4i

Step-by-step explanation:

(2 +3i)(2 -i) = 2(2 -i) +3i(2 -i) = 4 -2i +6i +3 = 7 +4i

_____

  i = √-1, so i^2 = -1. Otherwise the product is identical to what you would get if "i" were a variable.

The person is 6 feet tall

The height of the buiding = 100 feet

The shadow cast by the building = 25 feet

Let the angle of the sun in the sky be represented by θ

The height of person = t

The shadow cat by the person = 1.5 feet

These can be descibed diagrammatically as shown below

From the diagrams:

Comparing equations (1) and (2)

The person is 6 feet tall

If \(f(x)=\mid x\mid\) and \(g(x)=x+2\) then \(f(g(x))=\mid x+2\mid\).

The domain is \(x\in(-\infty, +\infty)=\mathbb{R}\).

The range is \(y\in[2,+\infty)\).

Hope this helps.

Answer:

Step-by-step explanation:

with range there is a horizontal line under the > sign, just as a side note:D

BRANLIEST?

Answer:

25%

Step-by-step explanation:

Each quartile is 25% of a the whole box plot so it would have to be 25%

Answer:

6000 lbs

Step-by-step explanation:

A ton is 2000 lbs

2000 x 3 = 6000

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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