Measures of two anges 48 degrees are shown in a triangle. Write a equation showing the value of X

Step-by-step explanation:

a1) Through how many radians does Jamie turn in 99 minutes?

One revolution is equal to 2 * pi radians, so 1.08 revolutions is equal to 1.08 * 2 * pi radians.

In 99 minutes, the restaurant rotates for 99 / 60 = 1.65 hours.

Therefore, the angle Jamie turns through in 99 minutes is 1.65 * 1.08 * 2 * pi radians.

a2) Exact answer:

angle = 1.65 * 1.08 * 2 * pi radians

b1) Approximate answer (rounded to 3 decimal places):

angle = 11.045 radians

b2) How far does Jamie move in 99 minutes?

The distance Jamie moves can be calculated using the formula:

distance = angle * radius

where radius is Jamie's distance from the center of the restaurant, which is 22.2 meters.

b2) Exact answer:

distance = 11.045 * 22.2 meters

b2) Approximate answer (rounded to 1 decimal place):

distance = 245.3 meters

The ratio shows how many times one value is contained in another value.

The ratio of office buildings to hotels will be 9 : 4.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of hotels to office buildings = 4 : 9

Now,

The ratio of office buildings to hotels will be 9 : 4.

Thus,

The ratio of office buildings to hotels will be 9 : 4.

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Answer:

To calculate the book value of the building, we need to calculate the annual depreciation amount and multiply it by the number of years elapsed since the building was completed.

The annual depreciation amount is calculated as: $1 million / 50 years = $20,000

In 2014, the book value of the building was: $1 million - ($20,000 * (2014 - 2010)) = $1 million - ($20,000 * 4) = $960,000

In 2022, the book value of the building will be: $1 million - ($20,000 * (2022 - 2010)) = $1 million - ($20,000 * 12) = $680,000

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...

The two digit numbers in that list above all have their digits adding to some other multiple of 3

and so on.

Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.

Answer:so what is the question

Step-by-step explanation:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

x = 23.02

Step-by-step explanation:

Using the Cos = adjacent / hypotenuse formula

cos 44 = x / 32

cross multiply

x = cos 44 * 32

x = 23.0188

x is approximately 23.02

Answer:

78

Step-by-step explanation:

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer: 42 Hope this helps!

Step-by-step explanation:

Okay so if there are 7 names lets just say the names are

1

2

3

4

5

6

7

The combos on names can be

1,2

1,3

1,4

1,5

1,6

1,7

2,1

2,3

2,4

2,5

2,6

2,7

3,1

3,2

3,4

3,5

3,6

3,7

4,1

4,2

4,3

4,5

4,6

4,7

5,1

5,2

5,3

5,4

5,6

5,7

6,1

6,2

6,3

6,4

6,5

6,7

7,1

7,2

7,3

7,4

7,5

7,6

There are 42 combos that can happen!

Answer:

C. 6.67

Step-by-step explanation:

Given

Reserve Ratio (RR) = 15%

Required

Determine the simple deposit multiplier

Simple deposit multiplier (M) is calculated by taking the inverse of RR.

The following formula applies:

\(M = \frac{1}{RR}\)

Substitute 15% for RR

\(M = \frac{1}{15\%}\)

Convert 15% to decimal

\(M = \frac{1}{0.15}\)

\(M=6.67\)

Hence, option C answers the question

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

x+2 + (-5x+4)/(x^2-2x+1)

See attached

Step-by-step explanation:

Equivalent expression to represent the given division in quotient , remainder and divisor form is equals to \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\).

" Division is defined as the distribution of the given quantity into equal parts as per the conditions apply."

According to the question,

Given expression,

\((x^{3} -8x+6)\) ÷ \((x^{2} -2x +1)\)

As shown in long division we get,

Quotient \(q(x) = x+2\)

Remainder \(r(x) = -5x+4\)

Divisor \(b(x) = x^{2} -2x +1\)

Represent quotient , remainder and divisor in an equivalent form of given expression we get,

\((x^{3} -8x+6)\) ÷ \((x^{2} -2x +1)\) = \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\)

Hence, equivalent expression to represent the given division in quotient , remainder and divisor form is equals to \((x+2)+\frac{-5x+4}{x^{2} -2x+1}\).

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If the value of the angle θ is 77.32°. Then the value of cos 2θ will be the negative 0.90.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

tan θ = 40/9

tan θ = 4.444

Then the angle θ will be

θ = tan⁻¹(4.444)

θ = 77.32°

Then the value of cos 2θ will be

cos 2θ = cos (2 x 77.32°)

cos 2θ = cos 154.64°

cos 2θ = - 0.9036

cos 2θ ≅ - 0.90

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Answer:

The equation model for the transformed graph f(x) = -5×+ 3 -6.

This triangle is not possible.

A triangular field has sides of lengths 29, 35, and 51 miles. The largest angle of the triangle can be calculated using the Law of Cosines, which is a generalization of the Pythagorean Theorem.

Law of Cosines:The Law of Cosines is a mathematical tool used to calculate the length of a side or the size of an angle of a non-right triangle. It states that the square of any side of a triangle is equal to the sum of the squares of the other two sides,

minus twice the product of these two sides and the cosine of the angle between them.Mathematically, the law of cosines is expressed as: `a^2 = b^2 + c^2 - 2bc cos A`,

where `a` is the unknown side, and `b` and `c` are the known sides of the triangle, and `A` is the angle between sides `b` and `c`.We can use the Law of Cosines to find the largest angle in the triangle as follows:Let `A` be the largest angle,

which is opposite the longest side `51 mi`.Using the Law of Cosines, we have:`

a^2 = b^2 + c^2 - 2bc cos A``51^2 = 29^2 + 35^2 - 2(29)(35) cos A``2601 = 1681 + 1225 - 2030 cos A``2030 cos A = 1225 + 920``cos A = (1225 + 920)/2030``cos A = 2145/2030``cos A ≈ 1.057139``A = cos^-1 (1.057139)`

Since the cosine function is only defined for values between -1 and 1, `1.057139` is not a valid value for `cos A`.

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A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

Number

Rounded to Nearest Hundredth

1

1

1.006

1.01

1.012

1.01

1.018

1.02

Step-by-step explanation:

(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment

Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.

The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:

D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63

Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)

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Answer: It’s -1,-3

Step-by-step explanation:

got 100 on the test

Step-by-step explanation:

Correct, the dilation is an enlargement .

the base '4'  becomes  '6'     a factor of 1.5       ( because 1.5 * 4 = 6)

The value for log₂11 is 3.459.

To find the logarithm of 11 base 2, we need to determine the power to which we must raise 2 to obtain the value 11. In other words, we need to solve the equation 2^x = 11 for x.

Finding the exact value of log₂11 can be challenging since 11 is not a power of 2. Therefore, we can approximate the answer using numerical methods.

One way to approach this is by using the bisection method. We start by considering a lower bound and an upper bound for the value of x. Since 2^3 = 8 and 2^4 = 16, we can choose the interval [3, 4] as a starting point.

Next, we evaluate the midpoint of the interval, x = (3 + 4) / 2 = 3.5, and calculate 2^3.5 ≈ 11.314. Since this is larger than 11, we update our upper bound to 3.5.

We repeat the process by evaluating the midpoint of the new interval [3, 3.5], which gives us x = (3 + 3.5) / 2 = 3.25. Calculating 2^3.25 ≈ 10.63, we see that it is smaller than 11. Thus, we update our lower bound to 3.25.

We continue this iterative process, halving the interval each time, until we reach a satisfactory level of precision. After several iterations, we find that the value of x is approximately 3.459.

Therefore, an approximation for log₂11 is 3.459.

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67.31

+ 212.198

279.408

279.408

- 8.6

270.808

The result must have only 2 significant figures because 8.6 is the number with less significant figures and has two.

Then, the result = letter D. 270

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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It should be noted that simplifying the equation 2log(4-x) = 2 - x gives the value of 3.79.

Simplify the equation.

2log(4-x) = 2 - x

So,the logarithm can be rewritten as:

(4 - x)² = \(10^{2-x}\)

(4 - x)(4 - x) =\(10^{2-x}\)

16 - 8x + \(x^{2}\) = \(10^{2-x}\)

Now, let's solve for x. We can use numerical methods or approximate the solution.

Using numerical methods, such as Newton's method or using a calculator, we find that the approximate solution to the equation is x ≈ 3.7917.

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9514 1404 393

Answer:

  an = -7(1/3)^(n-1)

Step-by-step explanation:

The explicit formula for a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

The multiplier in the recursion relation is the common ratio: 1/3. The first term is given as a1 = -7. Putting these in the general formula, we have ...

  an = -7·(1/3)^(n-1)

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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