Using the diagram below, what is the measure of ZE?

The value of x is approximately 49.4 units.

What is volume ?

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.

Let's start by defining some variables:

r: radius of the cone

h: height of the cone

V: volume of the cone

A right cone has a circular base, and its volume can be calculated as follows:

V = (1/3) * π * r² * h

If the diameter of the base is 12 units, then the radius is half of that:

r = 6 units

We also know that the volume is 2767 units³, so we can write:

2767 = (1/3) * π * 6² * h

Simplifying:

h = (2767 * 3) / (π * 6²)

h ≈ 49.15 units

Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:

x² = r² + h²

Substituting the values we have:

x² = 6² + 49.15²

x ≈ 49.4 units

Therefore, the value of x is approximately 49.4 units.

In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.

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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12

Answer:

sixteen 250 millilitres

Step-by-step explanation:

250 millimetres = 1/4 litre

4 litres = 16 one-fourth litres

PLZ MARK AS BRAINLIEST

The points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

The general equation of a straight line is : y = mx + c.

[m] is called slope and it tells the unit rate of change in [y] with respect to [x].

[c] is called the [y] - intercept.

We have some points that lie on a line that passes through the origin with a slope of −25.

The equation of a straight line that passes through the origin and has slope of -25 will be -

y = - 25x

The points that will lie on the line will be -

(0, 0) , (1, - 25) , (- 1, 25)

Therefore, the points that will lie on the line will be (0, 0) , (1, - 25) , (- 1, 25).

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Answer:

Please find attached pdf

Step-by-step explanation:

Answer:

-15 is the answer of this

Step-by-step explanation:

Rules in Algebra

Answer:

I'm so sorry for ur sister

Answer:

perpindicular

Step-by-step explanation:

The line a and line d are perpendicular to each other.

A perpendicular line is a line that intersect another line at 90 degrees. Perpendicular lines are also called normal lines.

After constructing the two lines; line a and line intersect or meet each other at 90 degrees to the horizontal.

Thus, we can conclude that the line a and line d are perpendicular to each other.

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\(f(x) = -6x^2 + 7x + 4\)

Step-by-step explanation:

For x = 1

\(a(1)^2 + b(1) + c = 5 \Rightarrow a + b + c = 5\) (1)

For x = -3,

\(a(-3)^2 + b(-3) + c = -71\)

\(\Rightarrow 9a - 3b + c = -71\) (2)

For x = 3,

\(a(3)^2 + b(3) + c = -29\)

\(\Rightarrow 9a + 3b + c = -29\) (3)

Let's add Eqn(2) and Eqn(3) together to eliminate b:

\(\Rightarrow 18a + 2c = -100\) (4)

Next, multiply Eqn(1) by 3 and then add to Eqn(2) to get

\(\Rightarrow 12a + 4c = -56\) (5)

Then we want to eliminate c by multiplying Eqn(4) by -2 and then adding to Eqn(5) and we will get

\(-24a = 144 \Rightarrow a = -6\)

Now that we have the value for a, we can use either Eqn(4) or Eqn(5) to solve for c and we will get

\(12(-6) + 4c = -56 \Rightarrow c = 4\)

Using the values of a and c on Eqn(1), we find that \(b = 7\) so therefore, our function f(x) has a form

\(f(x) = -6x^2 + 7x + 4\)

Midpoint formula: (x1 + x2)/2 , (y1 + y2)/2

Midpoint AB = (3 +-5)/2, (3 + 7)/2 = -2/2 , 10/2 = (-1,5)

Midpoint CD = (2 +9)/2, (11 + -2)/2 = (11/2,9/2)

Answer:

one because it is cilinder

Answer:

3619.11 cm^3

Step-by-step explanation:

Volume of a cylinder =   area of end * height

                                   = pi r^2       *   height

                                   = pi (6)^2    *   32      cm^3

                                   = 36 pi    * 32  = 3619.11 cm^3

Answer:

d = \(\sqrt{10\\\)

Step-by-step explanation:

Use the distance formula: d = \(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}\)

A (0, 0)

B ( 1, 3)

d = \(\sqrt{(1 - 0)^{2} + (3 - 0)^{2}\)

d = \(\sqrt{(1)^{2} + (3)^{2}\)

d = \(\sqrt{1 + 9\)

d = \(\sqrt{10\)

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

The equation of the line is y = 2x - 6

Step-by-step explanation:

Put the equation into the point-slope formula (Below). You'll get y - 4 = 2 * (x - 5), which is equal to y - 4 = 2x - 10. You add 4 on both sides and then get y = 2x - 6.

Point-Slope formula:

y - y coordinate = slope * (x - x coordinate)

Y coordinate: 4

X coordinate: 5

Slope (m) = 2

you would have to give us the shape to figure it out

Answer:

maybe you have to add more on to thj side

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

If 85% are men, then (100 - 85), 15% are not men

so, 15% are not men which means that 15% are 360 = 15% of x = 360

(x = total no. of workers)

so, x = 360 × \(\frac{100}{15}\) = 2400

The total number of people = 2400

( sorry I didn't use pencil...)

The required graph has been attached below that represents the function f(x) = 5 cos (2x).

The graph of the function f(x) = 5 cos(2x) is a periodic function that oscillates between its maximum and minimum values as x changes.

Specifically, the function is a cosine function with amplitude 5 and period π, since the coefficient of x is 2 in the argument of the cosine function.

The graph of the function f(x) = 5 cos(2x) has a maximum value of 5 when cos(2x) = 1 (i.e., at 2x = 0 + 2πk, where k is an integer), and a minimum value of -5 when cos(2x) = -1 (i.e., at 2x = π + 2πk, where k is an integer).

Thus, the graph has been attached below that represents the given function.

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Answer:

D. -5 ≤ x ≤5

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see from the graph that our x-values span from -5 to 5. Since both are closed dots, they are included in our domain:

[-5, 5]

or

-5 ≤ x ≤ 5

There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.

Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.

Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.

90/36 = 2.5

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Answer: 27.3

Step-by-step explanation:

I took the outcomes of the Aces from the trial and found the average and the answer I got was 27.3%

Hope this helps.

Answer:

Given that,

A bag contains 16 cards numbered 1 through 16

To find the probability that the card has a multiple of 3 on it

Let A be the event of the probability that the card has a multiple of 3 on it

we get,

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

Number of possibliles of the event A n(A)=5

Total number of possibilities n(S)=16

Probability that the card has a multiple of 3 is,

Substitute the values we get,

Answer is: Probability that the card has a multiple of 3 is 5/16.

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

The probability to select a family with atleast three male children is only 1/8.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

First, you have the sample of the children.

We know that the family with 3 children, can have the sample space as given {MMM,MMF,MFM,FMM,FFM,FMF, FFF}

MMM: 3 Males

MMF: 2 males, 1 female

MFF: 1 male, 2 females

MFM: 2 males, 1 female (different order)

FMM: 1 female, 2 males

FFM: 2 females, 1 male

FMF: 2 females, 1 male

FFF: 3 females

If we count all of these possibilities, we have 8 possible cases of family with the childrens.

In only one of them, we have atleast three males , which is the first one

Therefore, the probability to select a family with atleast three male children is only 1/8.

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\(\bold\purple{Hopeithelps}\)

\(\bold{Study}\)\(\bold{Well}\)~

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Let a be a 33 matrix with nonzero entries, and b be a vector with elements that are not linear combinations of the columns of a. Then b is not in the set spanned by the columns of a.

Let's construct a 33 matrix a with nonzero entries. We can construct this matrix by deciding on 33 elements, each of which is not equal to zero, and arranging them into 33 columns and rows with each column and row having one element. Next, we can create a vector b with elements that are not linear combinations of the columns of a. This can be done by deciding on 33 elements for the vector b and ensure that none of the elements of b are linear combinations of the elements of the matrix a. Finally, we can test whether b is in the set spanned by the columns of a. To do this, we can take each column of a and check if any of the elements in b can be expressed as a linear combination of the elements in that column. If any of the elements in b can be expressed as a linear combination of the elements in any of the columns of a, then b is in the set spanned by the columns of a. Otherwise, b is not in the set spanned by the columns of a.

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Answer:

Step-by-step explanation:

Solve for x and graph the solution on the number line below

9 > x − 3

add 3 to both sides:

9 + 3 > x − 3 + 3

12 > x

so: (12, ∞)

___-4__-2__0__2__4__6__8__10__(12__13__`14__16______