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Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.

Given that,

In Clark's backyard, a sizable gazebo is being constructed. It has a typical hexagonal form. The gazebo has 12 feet on each side. 10.4 feet tall is the apothem. He must get stones for the flooring. The price of a particular kind of interlocking stone is $9.50 per square foot.

We have to identify the gazebo's floor's cost.

We know that,

The distance from the center of the regular polygon to the mid point of the side. Here, AB is the chord and AM =BM. O is the center of the circumcircle.

Segments joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

So, OM ⊥AB

In ΔOAB,

AB is the base and OM is the height.

AB = 12 feet

OM = 10.4 feet.

The area of the triangle OAB =1/2×base×height

= 1/2×12×10.4

=62.4 square feet.

A regular hexagon is divided into 6 equilateral triangle having each side  12 feet.

Area of the regular hexagon = 6× area of the one triangle

=6×62.4=374.4 square feet

Cost of inter locking stones = $9.50 per square feet.

Total cost of gazebo's floor = 374.4× 9.50 =$3556.8

Therefore, Total cost of gazebo's floor is $3556.8 when the gazebo has 12 feet on each side. 10.4 feet tall is the apothem.

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Therefore the value of x is less than 4 when x is in the inequality 3x + 2 < 14 and greater than -3 when x is in the inequality 2 x-5> -11

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. For instance, let's say you have 225 and want to purchase a new bicycle that costs $250.

Expressions are carried out, or evaluated, in order to yield a value. In an evaluation process, values of expressions can be employed as components of surrounding expressions.

To solve for x in the inequality 3x + 2 < 14, we can begin by subtracting 2 from both sides to get 3x < 12. Then, dividing both sides by 3 gives x < 4.

To solve for x in the inequality 2 x-5> -11, we can begin by adding 5 to both sides to get 2x> -6, then divide both sides by 2 to get x > -3

So x can be any number greater than -3 and less than 4

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The insurance company will pay $192, which is the asset's present value.

The sum of money required to fix your house at the cost of construction materials today, or to replace your possessions at the cost of an equivalent or comparable item today the cost of purchasing a comparable asset to replace an existing one at the going rate on the market.

To be fully insured, your dwelling limit must equal at least 80% of the rebuild value of your house. The average cost of reconstructing a home per square foot in your area can be multiplied by the square footage of your home to determine the replacement cost. Market value and replacement cost are not the same thing.

Therefore,

The distribution of cost over the course of an asset's useful life is known as depreciation. It speaks of the rate at which the value of an asset depreciates over time.

When figuring out depreciation, the original value is utilized. It does not use current market value.

Over the course of the asset's useful life, the value is distributed equally.

In this instance

Depreciation per year = Asset value ÷ Years of useful life

Depreciation per year = 288 ÷ 6 = $48

The asset has been used for 2 years

Amount depreciated = 48 × 2 = $96

Present value = Original value - Depreciation

Present value = 288 - 96 = $192

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The value of 10% as a fraction and a decimal will be 1/10 and 0.1.

From the information, we want to write the percentage as a fraction as well as a decimal. A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100.

10% as a fraction will be calculated by dividing 10 by 100. This will be:

= 10 / 100

= 1 / 10

10% as a decimal will be calculated by dividing 10 by 100 and giving it in decimal form.

= 1/10

= 0.1

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. Complete question

Write 10% as a fraction and a decimal

The half life of the iodine is obtained as 6.2 s.

Let us recall that the half  life would be the time that is taken for about half of the original radioactive isotope that remains in the sample, to become depleted in the thyroid treatment.

Given that we have the fact that the decay constant that we have in the process is given as 0.1113 in the question and we know that;

Half life = 0.693/K

Half life = 0.693/0.1113

Half life = 6.2 s

It would have the half life about 6.2 s.

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Answer: solve the same variables

Step-by-step explanation:

1. 3y + 4.1

2. 4x +

3. 5x + 22½

4. 4y²

5. + 25

6. 0



Answer:

To find Q1, Q2, Q3, and the interquartile range (IQR) of a data set, we need to first arrange the data in numerical order. For the given data set, the ordered data is:

7, 8, 10, 12, 12, 14, 15, 15, 16, 19, 21, 23, 24

To find Q1, we need to find the median (Q2) of the lower half of the data. The lower half of the data is:

7, 8, 10, 12, 12, 14

There are 6 values in the lower half of the data, so the median (Q2) is the average of the 3rd and 4th values, which is (10 + 12) / 2 = 11. Therefore, Q1 = 11.

To find Q3, we need to find the median (Q2) of the upper half of the data. The upper half of the data is:

15, 15, 16, 19, 21, 23, 24

There are 7 values in the upper half of the data, so the median (Q2) is the fourth value, which is 19. Therefore, Q3 = 19.

To find the IQR, we need to subtract Q1 from Q3. The IQR is equal to Q3 - Q1 = 19 - 11 = 8.

The correct answers are:

1.  Interquartile Range = 8

2.  Q3 = 19

3.  Q2 = 11

4.  Q1 = 8

Therefore, the correct answer choices are:

a. 15 (incorrect)

b. 9 (incorrect)

c. 20 (incorrect)

d. 11 (correct)

The length of PZ is 7 units.

According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.

Given:

As, Centroid is the point where all median of a Triangle intersect.

Here, we have centroid 'P'.

Now, using the property of Centroid that the Centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

So, SP = 1/3 SZ => SZ = 3SP

and, PZ = 2/3 SZ => SZ = 3/2 PZ

Then, 3SP = 3/2 PZ

3(3.5) = 3/2 PZ

10.5 x 2 = 3 PZ

21 = 3PZ

PZ = 7 units

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The siblings met at the point (4,7). This can be determined by looking at the graph and seeing that the point (4,7) is the only point with an x-coordinate of 4 and a y-coordinate of 7.

Coordinate refers to the pair of numbers used to identify the position of a particular point on a graph, map, or other two-dimensional plane. Each coordinate consists of an x-coordinate and a y-coordinate that indicate the horizontal and vertical position of the point, respectively. Coordinates can be used to plot points, draw shapes, and determine distances between points. For example, the coordinates (4, 7) would tell you that the point is located four units to the right and seven units up from the origin point. Coordinates can also be used to describe the location of a point in three-dimensional space, with the addition of a z-coordinate.

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The solution to the given quadratic equation is x = -1 + 3i OR x = -1 - 3i

From the question, we are to solve the given quadratic equation

From the given information,

The quadratic equation is

x² + 2x + 10 = 0

Using the Quadratic formula,

x = [-b ± √(b² - 4ac)] / 2a

From the equation,

a = 1, b = 2, and c = 10

Then,

x = [-b ± √(b² - 4ac)] / 2a

x = [-(2) ± √((2)² - 4(1)(10))] / 2(1)

x = [-2 ± √(4 - 40)] / 2

x = [-2 ± √(-36)] / 2

x = [-2 ± -6i] / 2

x = -1 ± 3i

x = -1 + 3i OR x = -1 - 3i

Hence, the solution is x = -1 + 3i OR x = -1 - 3i

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Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.

Therefore, The total number of grapes Mr.West ate is,

= 11×(2 1/11) grapes.

= 11×(23/11) grapes.

= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.

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Answer:

Radical Approximation

of A=5√2

of B=2√13

of C is 3√7

Answer:

76 don't know how to explain it

The perimeter of the netball court is equal to 92 meters.

What does perimeter mean?

The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.

A netball court is a rectangle,

it is given that length of the net ball court is equal to 31 meters.

The width of the netball court is equal to 15 meters.

Therefore the perimeter of the netball court is equal to the length of all sides of the rectangle.

Perimeter of netball court = 2(31+15)=92 meters.

Therefore perimeter of the netball court is equal to 92 meters.

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2) {(-5,2), (5,2), (0, -3), (3,-8)} is a function.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function.

4) {(7,2), (4,-6), (2,-2), (4, -9)} is not a function.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function.

6) {(1,-4), (2,-4), (3,-4), (4-4)} is a many to one function.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

We know a relation is a function if it is one-to-one and many-to-one.

But a function can not be one to many means the same value of x can not lead to different values of y.

2) {(- 5, 2), (5, 2), (0, -3), (3,- 8)} is a fuction as different values of x leads to different values of y.

3) {(-2, 7), (6, 2), (-2,-3), (0, 9)} is not a function as the input - 2 leads to two different outputs 7 and - 3.

4) {(7, 2), (4, -6), (2, -2), (4, -9)} is also not a function as input 4 leads to two different outputs - 6 and - 9.

5) {(2, 3), (2, 4), (2, 5), (2,6)} is not a function as input 2 leads to different outputs.

6) {(1, - 4), (2, - 4), (3, - 4), (4, - 4)} is a function and it is a many-one function.

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Answer:

Step-by-step explanation:

1. (4x5) is 20

2. (4x 2) is 8

3. 20 plus 8 is 28

4. 28= 4x (5+n)

5. isolate n by dividing 4 on both sides= 28/4= 4+n

6. subtract 4 on both sides to get 7-4=n

7. n=3

The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].

Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).

Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.

The total number of satsumas eated by him can be written as -

2 + 1/6

2[tex]\frac{1}{6}[/tex]

Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].

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Answer:

60/s or s/60

Quotient means divide so you divide the following, s and 6 by each other.

Step-by-step explanation:

Hope it helps! =D

The requried other factors of the given function are (x - 2) and (x - 3).

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

here,
Given function, f(x) = x³-19x+30,
One of the factors of function is x = -5 or x + 5 = 0
Following the remainder theorem to determine the others factor,
= given function / one of the factor
=  [x³-19x+30] / [x + 5]
= (x - 2)(x - 3)

Thus, the requried other factors of the given function are (x - 2) and (x - 3).

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Answer: [tex]\frac{c}{d} = \frac{a}{b}[/tex]

Step-by-step explanation:

By the given figure, the triangle's sides appear congruent. By the Segment Addition Postulate:

RT + TQ = RQ and

RU + US = RS

Substitute this with the given variables.

c + d = RQ

a + b = RS

From this, we can create the following proportion:

[tex]\frac{c}{d} = \frac{a}{b}[/tex]

5a) The total cost of buying the car, priced at $32,000 with the harmonized sales tax (HST) of 13%, is $36,160.

5b) Through the lease, the customer saves $14,760.

5c) The lease options for the lessee after returning the car include:

6a) The after-tax cost of the Honda Civic is $32,199.35.

6b) The value of the vehicle that needs to be financed is $26,199.35.

6c) The monthly payment will be $567.26 for 4 years.

6d) After four years, the total amount paid for the vehicle is $33,228.48.

A lease is a financing option for the use of capital assets by which the lessee utilizes an asset for a stated period while making periodic payments to the lessor.

A car purchase can also be financed through loans, like home mortgages.

Value of the car = $32,000

Harmonized Sales Tax (HST) = 13%

Cost of the car with HST = $36,160 ($32,000 x 1.13)

Down payment = $1,000

Financing part = $35,160 ($36,160 - $1,000)

Installment payments = 48

Periodic payments = $425

Total lease cost = $21,400 ($1,000 + 48 x $425)

Savings (advantages) from leasing = $14,760 ($36,160 - $21,400)

The value of the Honda Civic = $28,495

Harmonized Sales Tax (HST) = 13%

After-tax cost = $32,199.35 ($28,495 x 1.13)

Annual interest rate = 1.9% compounded monthly

Down payment = $6,000

Financing part = $26,199.35 ($32,199.35 -$6,000)

Financing period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 1.9%

PV (Present Value) = $26,199.35

FV (Future Value) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

Monthly Payments (PMT) = $567.26

Sum of all periodic payments = $27,228.48

Total Interest $1,029.13

Total amount paid over 4 years = $33,228.48 ($27,228.48 + $6,000)

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The quadratic equation that models the situation is

h(t) = - 4.9t² + 60.

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is that the function h(t) = - 4.9t² + h₀ gives the height (h), in meters, of an object (t) secs after it falls from an initial height h₀. The table shows data for a pebble that fell from a cliff as -

TIME (t)     HEIGHT (h)

1                   55.1

2                  40.4

3                  15.9

The given function is -

h(t) = - 4.9t² + h₀

For the point (1, 55.1), we can write as follows -

55.1 = - 4.9 x 1 x 1 + h₀

h₀ = 55.1 + 4.9

h₀ = 60

So, we can write the function as -

h(t) = - 4.9t² + 60

Therefore, the quadratic equation that models the situation is

h(t) = - 4.9t² + 60.

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Answer:

c on edge

3.5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

refer the sketch for step by step answer

Answer:

67/153

Step-by-step explanation:

Answer: 630

Step-by-step explanation:

Evaluate 9du when d=10 and u=7

⇒9du

input the values of d and u

⇒9 (10)(7)

⇒9 × 10 × 7

⇒630 answer.

hope that helps...

Answer:

630

Step-by-step explanation:

as the problem shows that the variable for d = 10, and u = 7.

it asked to solve 9du (or 9 × d × u )

we can plug in the numbers into the variables:

9 × 10 × 7

9 × 10 = 90 × 7 = 630

The mapping does not represents a function

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input

In this case, for the mapping represent a function, every element in set A must be mapped to exactly one element in set B.

Since there is more than one arrow from set A (5) pointing to different values in set B (-2 and 9), then it is not a function. Also, the two different value (5 and 7) in set A has the same value (-2) in set B.

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The reference angle of 7pi/4 is pi/4

The acute angle formed by the terminal arm or side and the x-axis is known as the reference angle.

There is always a positive reference angle. The reference angle is, in other words, the angle formed by the terminal side and the x-axis. It must always be positive and less than 90 degrees.

considering angle 7 pi/4, the angle is pi/4 away from 2 pi.

7 pi/4 + pi/4 = 8 pi/4 = 2 pi

We can therefore conclude that 7 pi/4 is an angle on the third quadrant and the reference angle is pi/4.

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Answer:

The value of the condo was appraised at 36.4% lower than the selling price, which means it is now worth 100% - 36.4% = 63.6% of the selling price.

The selling price of the condo was $295,420, so the value of the condo now is $295,420 * 63.6% = $<<295420*0.636=188382.72>>188,382.72.

Therefore, the value of the condo now is $188,382.72.

Step-by-step explanation: