If x = 9 units, y = 3 units, and h = 7 units, find the area of the rhombus shown above using decomposition. A. 21 square units B. 13 square units C. 72 square units D. 63 square units

Answer:

a. 120 degrees

b. 2.0944 radians

Step-by-step explanation:

From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math

20 / 5min = 4 times

4 * 30 degrees = 120 degrees

We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula

degrees * \(\pi /180\) = radians

120 * \(\pi / 180\) = radians

2.0944 = radians

Late payments from customers are one of the top reasons why companies get into cash flow problems. One of the best ways to keep track of late payments and make sure they aren’t getting out of hand is to calculate the accounts receivable turnover ratio for your business. We calculate it by dividing total net sales by average accounts receivable.

Following up with late-paying customers can be stressful and time-consuming, but tackling the problem early can save you loads of trouble down the road. Here’s what you can do to encourage customers to pay you on time.

If the costs of collecting the debt start approaching the total value of the debt itself, it might be time to start thinking about writing the debt off as bad debt—that is, debt that is no longer of value to you. Bad debt can also result from a customer going bankrupt and being financially incapable of paying back their debts.

Now in case of the above the company has receivable outstanding of more than 90 days and out of which 80% seems to be recoverable. The company owner asking for change in the bad debt assessment to 3% shall be deeply analyzed based on the past trend of recoverability of debts.

Bad debts assessed at flat 3% cannot be concluded upfront without certain surety or past trend data. The bad debts shall be taken into consideration based on the estimates and the same shall be supported by some specific reason.

Apart from bad debts the provision for the bad debts of 20% shall be made in order to be safe side. The provision made shall also be assessed.

Thus we can consider the provision and 3% bad debt based on the recoverability assessment.

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a) The distance of P from the base of the building is 168.0 m.

b) The height of the building is 43.8 m.

c) The length of the flagstaff is 25.8 m.

The given information is used to solve the three parts of the problem. First, to calculate the distance of P from the base of the building, the tangent of the angle of elevation of the top of the flagstaff, 32°, is used. The tangent of 32° is 0.6, and this is equal to the ratio of the height of the building and the distance from P to the base of the building. This gives the equation 0.6 = 43.8/x, where x is the distance of P from the base of the building. Solving for x gives x = 168.0 m.

Second, to calculate the height of the building, the tangent of the angle of elevation of the bottom of the flagstaff, 29°, is used. The tangent of 29° is 0.546, and this is equal to the ratio of the height of the building and the distance from P to the base of the building. This gives the equation 0.546 = h/168.0, where h is the height of the building. Solving for h gives h = 43.8 m.

Third, to calculate the length of the flagstaff, the tangent of the angle of elevation of the top of the flagstaff, 38°, is used. The tangent of 38° is 0.717, and this is equal to the ratio of the length of the flagstaff and the distance from Q to the base of the building. This gives the equation 0.717 = x/93.0, where x is the length of the flagstaff. Solving for x gives x = 25.8 m.

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Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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Answer:

The answer would be D i believe.

Step-by-step explanation:

Since she is 3 inches less than the height of her brother, it would be subtraction.

We apply the formula : a^m : a^n = a^(m-n)

-> 3^4 : 3^9 = 3^(4-9) = 3^-5

Since we need the final answer with a positive exponent, 3^5.

Answer:

your anwser is 1085

Step-by-step explanation:

Answer:

No answer.  The question is not correct.  2x-6 cannot be equal to 2x+4

Step-by-step explanation:

2(x-3) = 2x+4

2x-6 = 2x+4

This can't be true.  2x-6 cannot be equal to 2x+4:

Subtract 2x from both sides and we are left with -6 = 4:  FALSE

Answer:

Step-by-step explanation:

Taking the LHS and distributing

Equating to the RHS

On inputting any value for x, this equation will not be correct.

Hence, it has no solution.

a. Regular expression for strings consisting of θ's followed by 1's:

θ*1+

b. Regular expression for strings representing non-negative numbers divisible by 8:

(0|1)0{3,}(0|1)

c. Regular expression for positive binary numbers without leading zeros satisfying Fermat's Last Theorem:

(1(0|1)){2,}(10+1+0+1(0|1)){2,}(0|1)*

a. Regular expression for strings consisting of θ's followed by 1's:

θ*1+

This regular expression allows for an optional sequence of θ's (represented by θ*) followed by a non-empty sequence of 1's (represented by 1+). This means the string can start with zero or more θ's and must be followed by one or more 1's.

b. Regular expression for strings representing non-negative numbers divisible by 8:

(0|1)0{3,}(0|1)

This regular expression represents strings that can be interpreted as binary numbers. It allows for any combination of 0's and 1's (represented by (0|1)*) followed by three or more consecutive 0's (represented by 0{3,}) and then allows for any additional 0's or 1's.

c. Regular expression for positive binary numbers without leading zeros satisfying Fermat's Last Theorem:

(1(0|1)){2,}(10+1+0+1(0|1)){2,}(0|1)*

This regular expression represents positive binary numbers without leading zeros that satisfy Fermat's Last Theorem. It consists of three main parts:

(1(0|1)){2,}: Represents a sequence of one or more 1's followed by either a 0 or a 1, repeated at least twice.

(10+1+0+1(0|1)){2,}: Represents a sequence that can be interpreted as a sum of positive integers satisfying Fermat's Last Theorem. It consists of a 1, followed by one or more 0's, followed by a 1, followed by a 0, followed by one or more 1's or a combination of 1 and 0, repeated at least twice.

(0|1)*: Represents any additional trailing 0's or 1's.

Overall, this regular expression captures the pattern of positive binary numbers satisfying Fermat's Last Theorem without leading zeros.

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The metric unit from pounds to tons is 250 pounds = 0.125 tons

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

250 pounds = how many tons

As a general rule, we have

1 pound = 0.0005 tons

Multiply both sides of the equation by 250

So, we have

250 * 1 pound = 0.0005 tons * 250

Evaluate the products

250 pounds = 0.125 tons

Hence, the conversion is 250 pounds = 0.125 tons

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

To find the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3, we need to first find the derivative of r with respect to θ, and then evaluate it at θ = π/3.

Differentiating both sides of the polar equation with respect to θ, we get:

dr/dθ = d/dθ(2 - sinθ)

dr/dθ = -cosθ

So, the derivative of r with respect to θ is -cosθ.

Evaluating this derivative at θ = π/3, we get:

dr/dθ|θ=π/3 = -cos(π/3) = -1/2

Therefore, the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

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The X-axis (horizontal axis) often represents a "class boundaries" of such an ogive, whereas the Y-axis (vertical axis) typically shows the frequency count.

A sort of frequency polygon that displays cumulative frequencies is an ogive, often known as a cumulative frequency polygon.

Thus, The X-axis (horizontal axis) often represents a class boundaries being measured of such an ogive.

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Answer:

n ≥ 6.24/x

Step-by-step explanation:

Given that :

Amount spent is atleast $6.24

Let price spent = p

p ≥ $6.24

If cost of granola bar = x

The number of granola bars, n purchased will be :

n ≥ 6.24/x

Since cost of granola bar isn't given, we represent it as x.

The formula for allocation deviation is as follows:σA = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)σB = (w1σ1^2 + w2σ2^2 + … + wσn^2)^(1/2)

Here,

σ1 = 15%

σ2 = 10%

w1 = 50%,

w2 = 50%

Substituting the values in the above formula:

σA = (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158 = 1.58%σB

= (0.5 × 0.15^2 + 0.5 × 0.10^2)^(1/2)

= (0.0225 + 0.0100)^(1/2)

= 0.0158

= 1.58%

Hence, the correct option is

D. σ(A) = 14.14%;

σ(B) = 16.33%.

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The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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No, that i not a ucce, the electric bill need to be  amount $1530 or le to be conidered a ucce.

To calculate the electric bill after the 11% decrease, simply multiply the current electric bill by 0.89, which is 1-11%. This will give you the new electric bill.

$1700 x 0.89 = $1530

Therefore, if the company's electric bill for next month is amount $1530 or less, then that would be considered a success.

The company must reduce their electric bill to $1530 or less in order to be considered successful in decreasing their energy usage by 11%.

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Answer:

\(Speed \: of \: the \: car \: is \: = \frac{100}{4} = 25 \: miles {(hours)}^{ - 1} \)

9514 1404 393

Answer:

  1. 3(0.96059601^t) = 15; t = -40.03

  2. 4.121204(1.01^t) = 8; t = 66.66

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

The solution for an exponential problem using logarithms is ...

  a·b^x = c   ⇒   log(c/a)/log(b) = x

_____

1. Rewrite: (3)(0.99^4)^t = 15  ⇒  3(0.96059601^t) = 15

Solution: t = log(15/3)/log(0.96059601) ≈ -40.03

__

2. Rewrite: 4(1.01^3)(1.01^t) = 8  ⇒  4.121204(1.01^t) = 8

Solution: t = log(8/4.121204)/log(1.01) ≈ 66.66

Answer:

7.5 feet

4/5=6/x

cross multiply

4x=30

x=7.5

Step-by-step explanation:

Answer:

7.5 feet

Step-by-step explanation:

Answer:

the answer is 3,9

Step-by-step explanation:

-3x+2y=9

3(x+y=12)

-3x+2y=9

3x+3y=36

5y=45

_ __

5 5

y=9

x+y=12

x+9=12

-9 -9

_______

x=3

By substituting the power series into the equation and equating coefficients of like powers of x, we can determine the values of r₁ and r₂, as well as the coefficients a₁, a₂, b₁, b₂, etc., which gives linearly independent solutions.

To find the solutions of the given differential equation, we assume a power series solution of the form Y = x^r(1 + a₁x + a₂x² + a₃x³ + ...), where r is an unknown exponent to be determined. By substituting this series into the differential equation, we can obtain an expression involving the derivatives of Y. Differentiating Y with respect to x, we find Y' = r x^(r-1)(1 + a₁x + a₂x² + a₃x³ + ...) + x^r(a₁ + 2a₂x + 3a₃x² + ...). Similarly, differentiating Y' with respect to x, we obtain Y'' = r(r-1)x^(r-2)(1 + a₁x + a₂x² + a₃x³ + ...) + 2r x^(r-1)(a₁ + 2a₂x + 3a₃x² + ...) + x^r(2a₂ + 6a₃x + ...).

Substituting these expressions for Y, Y', and Y'' into the given differential equation, we get the following equation:

2x²(r(r-1)x^(r-2)(1 + a₁x + a₂x² + a₃x³ + ...) + 2r x^(r-1)(a₁ + 2a₂x + 3a₃x² + ...) + x^r(2a₂ + 6a₃x + ...)) - x(r x^(r-1)(1 + a₁x + a₂x² + a₃x³ + ...) + x^r(a₁ + 2a₂x + 3a₃x² + ...)) + (5x + 1)(x^r(1 + a₁x + a₂x² + a₃x³ + ...)) = 0.

Simplifying this equation, we can collect the terms with the same power of x and set each coefficient to zero. Equating the coefficients of like powers of x, we obtain a system of equations that can be solved to find the values of r, a₁, a₂, a₃, etc. Once we determine the values of r and the coefficients, we can write down the two linearly independent solutions Y₁ and Y₂ using the power series form described in the question.

Note that finding the exact values of r and the coefficients might involve some algebraic manipulation and solving systems of equations. The resulting solutions Y₁ and Y₂ will be in the specified form of power series multiplied by x raised to certain powers.

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Nolan bought 2 apples and 10 bananas.

To solve this problem form the system of equations first, then solve them to find the values of the variables.

Nolan bought 2 apples and 10 bananas.

It's given that,

Nolan and his children bought fruits (Apples and bananas) worth $8.

Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

Therefore, Nolan bought 2 apples and 10 bananas.

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Full Question ;

Nolan and his children went into a grocery store and he bought $8 worth of apples

and bananas. Each apple costs $2 and each banana costs $0.40. He bought 5 times as

many bananas as apples. By following the steps below, determine the number of

apples, 2, and the number of bananas, y, that Nolan bought.

Answer:

It is True

Step-by-step explanation:

Hope it helps :)

Answer:

True

Step-by-step explanation:

You can only combine like terms when they are EXACTLY the same including the variables and exponents

for ex.

5a+1a+2\(a^{2}\)+5b+7\(b^{4}\)

the simplified answer after combining like terms would be

6a+2\(a^{2}\)+5b+\(7b^{4}\)

the 5b and exponent 4, 7b would not be able to combine because they are not exactly the same

The intensity and the threshold of the noise are illustrations of rates

The decibel measurement of a quiet room is 28

From the graph that completes the question, we have the following point

(Decibel, Intense) = (28,500)

This means that, the decibel measurement is 28

Hence, the decibel measurement of a quiet room is 28

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Answer:

B or 28

Step-by-step explanation:

edge 22