What is the length of Arc LM? Use 3.14 as pi and round your answer to the nearest tenth. please show work, will mark brainliest.

The answer is:

( - 179 – 78 ) + 41 - ( - 165 )

=-51

Answer:

(-257) +41+165

-257+206

-51

Answer:The employer pays .90 * 12240 = $ 11016. The emplyee pays .10 *12240 = $ 1224 = annual contribution. Contribution rate = (100% - 90%) = 10%.

Step-by-step explanation:

Answer:

a) $1,224

b) $51

Step-by-step explanation:

a) To calculate Darrell's annual contribution, we need to determine the portion he pays out of the total premium.

Given that the employer pays 90% of the cost, Darrell is responsible for the remaining 10%.

Annual contribution = Total premium × 10%

= $12,240 × 0.10

= $1,224

Therefore, Darrell's annual contribution is $1,224.

b) To find Darrell's semimonthly deduction, we divide his annual contribution by the number of semimonthly periods in a year.

Number of semimonthly periods in a year = 12 (months) × 2 (semimonthly periods per month) = 24

Semimonthly deduction = Annual contribution / Number of semimonthly periods

= $1,224 / 24

= $51

Therefore, Darrell's semimonthly deduction is $51.

Hope this helps!

If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.

Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:

x + (x-8) = 22

Simplifying, we get:

2x - 8 = 22

Adding 8 to both sides:

2x = 30

Dividing by 2:

x = 15

We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.

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The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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Answer:

80 mm²

Step-by-step explanation:

Even for slanted triangles, the area is base x half height! The base is 10 mm, half the height is 8 mm, so the area is 8x10=80 mm.

The mean number of workers with a college degree is 40.8, and the standard deviation is 5.37.

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

Given Sample size (n) is 120 workers

Proportion of workers who are college graduates (p): 34% or 0.34

a) Mean and Standard Deviation:

The mean (μ) of a binomial distribution is given by μ = np, and the standard deviation (σ) is given by σ =√np(1 - p).

Substituting the values:

μ = 120 ×0.34 = 40.8

σ = √120 × 0.34 × (1 - 0.34)) = 5.37

To find the probability that the number of workers with a college degree is at least 35

we need to calculate the cumulative probability of the binomial distribution from 35 to the maximum possible value, which is 120 in this case.

Using a binomial probability calculator or a statistical software, we can find this probability.

Assuming a binomial distribution with parameters n = 120 and p = 0.34, the probability can be calculated as follows:

P(X ≥ 35) = 1 - P(X < 35)

The probability that the number of workers with a college degree is at least 35 is 0.976, or 97.6%.

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Mean: Mean = (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12=2688602

Median =  1,643,032

Mode: Determine the value(s) that appear most frequently in the population list. In this case, there is no mode as none of the population values repeat.

Range = 8,336,817 - 911,507 = 7,425,310.

Standard Deviation = √( Σ ( xi - μ )² / N )

To find the mean, median, mode, range, and standard deviation of the given population data for the top twelve largest cities in the U.S., we can perform the following calculations:

Performing these calculations will yield the mean population, median population, mode (if any), range, and standard deviation of the given population data for the top twelve largest cities in U.S .

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Based on a system of equaitons, the initial opening fee (one-time payment) is $5.00, the monthly maintenance fee is $11.00, while an equation that models Adam's fees over time in months, x is y = 11x + 5.

A system of equations or simultaneous equations are two or more equations solved concurrently or at the same time.

An equation is a mathematical statement showing the equality or equivalence of two or more algebraic expressions.

While algebraic expressions combine variables with numbers and mathematical operands, equations use the equal symbol (=).

Total Fees after x months

x = # of months    y = total fees ($)

2                                      27

3                                      38 (11 x 3 + 5)

4                                      49 (11 x 4 + 5)

5                                     60

Let w = the monthly maintenance fee

Let z = the one-time opening fee

5w + z = 60 ... Equation 1

2w + z = 27 ... Equation 2

Subtract Equation 2 from Equation 1:

3w = 33

w = 11

b) The monthly maintenance fee is $11.00.

a) The initial (one-time) opening fee is $5.00.

z = 60 - 55

= 5

c) The total fees after x months is y = 11x + 5.

Thus, the one-time opening fee and the monthly maintenance fee can be computed using a system of equations.

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If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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Answer:

Step-by-step explanation:

Answer:she can make three 5 ounce candles. she had 15 ounces left over , 15/5=3 .

Step-by-step explanation: 5 of 10% of 20 ounces is 10 ounces, and both the 5 five ounce candles and the twenty five one ounce candles are each 2.5 extra ounces left. (5 for both), making a totalm of 15 ounces left to put into new candles.

John William will receive a total dividend of $43.70.

The value of John William's investment in Peixotto Media, including dividends, is $3,216.95.

a. John William owns a total of 125 + 312 = 437 shares in Peixotto Media. If the company is paying a cash dividend of 10 cents per share, then John William's total dividend income will be:

437 shares x $0.10 per share = $43.70

Therefore, John William will receive a total dividend of $43.70.

b. If John William owns 437 shares in Peixotto Media and the current stock price is $7.25 per share, then the value of his investment in the company (excluding dividends) is:

437 shares x $7.25 per share = $3,173.25

If we add the dividend income of $43.70 to this value, then the total value of John William's investment in Peixotto Media is:

$3,173.25 + $43.70 = $3,216.95

Therefore, the value of John William's investment in Peixotto Media, including dividends, is $3,216.95.

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Answer:

weight = gxg = 12kg to g = 0.12 and then using formula we get 0.12x0.12 = 1.44 is the weight

Step-by-step explanation:

Answer:

Therefore, the weight of the object is approximately 117.72 Newtons.

Step-by-step explanation:

The weight of an object is given by the formula:

weight = mass x acceleration due to gravity

The acceleration due to gravity on Earth is approximately 9.81 m/s².

So, the weight of an object with a mass of 12 kg is:

weight = 12 kg x 9.81 m/s² = 117.72 N

Therefore, the weight of the object is approximately 117.72 Newtons.

Answer:

4x = 100, so x = 25

The correct answer is C.

The value of the equation 6 sinθ=5 for θ is 56.4 degrees

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

6 sinθ=5

Express the equation properly

So, we have the following representation

6 sin(θ) = 5

Divide both sides of the equation by 6

This gives

sin(θ) = 5/6

Evaluate the quotient

sin(θ) = 0.833

Take the arc sin of both sides

θ = sin⁻¹(0.833)

Evaluate

θ = 56.4

Hence, the value of the equation for θ is 56.4 degrees

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Complete question

Approximate θ in the equation, to the nearest 0.1 degrees

6 sin(θ) = 5

It is shown below that the partition of G into left cosets of H is different from its partition into right cosets when n ≥ 3.

Let us first find the left cosets of H in G:

H = {1, s₀}

s₁H = {s₁, s₁s₀}

s₂H = {s₂, s₂s₀}

s₃H = {s₃, s₃s₀, s₂s₁, s₂s₁s₀}...

Now, find the right cosets of H in G:

H = {1, s₀}

Hs₁ = {s₁, s₀s₁}

Hs₂ = {s₂, s₀s₂}

Hs₃ = {s₃, s₀s₃, s₁s₂, s₀s₁s₂}...

Observe that the left cosets of H in G and the right cosets of H in G are not the same when n≥3. This is because s₁s₀ is not in H, but s₀s₁ is in H.

Therefore, the left coset s₁H is not the same as the right coset Hs₁. Similarly, s₂s₁s₀ is not in H, but s₀s₁s₂ is in H, so the left coset s₃H is not the same as the right coset Hs₃.

Thus, it is shown that the partition of G into left cosets of H is different from its partition into right cosets when n≥3.

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a) The state sales tax on a $2,800 used car in Washington is given as follows: $257.6.

b) The total cost of the car, including tax, is given as follows: $3,057.6.

The sales tax and the total cost of the car are obtained applying the proportions in the context of the problem.

The sales tax rate is given as follows:

9.2%.

Hence, for a car of $2,800, the sales tax is given as follows:

0.092 x 2800 = $257.6.

The total cost is then obtained adding the base cost to the sales tax, as follows:

2800 + 257.6 = $3,057.6.

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The area of the sector in the circle shown above is given as follows:

32.3 in².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it is given as follows:

r = 10 in.

Then the area of the entire circle is given as follows:

A = π x 10²

A = 314 in².

The entire circumference of the circle is of 360º, while the angle is of 37º, hence the area of the sector is given as follows:

37/360 x 314 = 32.3 in².

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The equation of the line is: x = 1 + 3t,, y = 10, z = 3 + 3t.

To determine the equation of the line passing through points M(1, 10, 3), N(4, 10, 6), and P(7, 10, 9), we need to find the direction vector of the line.

Let's denote the direction vector as D = (a, b, c). The line can be represented by the parametric equations:

x = 1 + at,

y = 10 + bt,

z = 3 + ct,

To find the direction vector, we can use two points on the line, for example, M and N. The direction vector can be obtained by subtracting the coordinates of M from the coordinates of N:

D = N - M = (4 - 1, 10 - 10, 6 - 3) = (3, 0, 3).

So, the equation of the line passing through M(1, 10, 3) and having the direction vector D = (3, 0, 3) is:

x = 1 + 3t,

y = 10 + 0t = 10,

z = 3 + 3t.

Therefore, the equation of the line is:

x = 1 + 3t,

y = 10,

z = 3 + 3t.

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The angle that is not a solution to the trigonometric equation sin(2θ) = 1 is given as follows:

a) 90º.

The trigonometric equation in the context of this problem is defined as follows:

sin(2θ) = 1

The sine assumes a value of 1 at:

90º.

Hence the solution is obtained as follows:

2θ = 90º.

θ = 45º.

The equivalent angle to 45º on the third quadrant is given as follows:

Hence 225º and -135º are also solutions to the trigonometric equation.

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The measure of <MNL is (71 - 3x²)/2.

We have,

Far Arc = 59 - 2x²

Near Arc = 12 - x²

Angle = 180- 2x²

Using the Formula

Angle= Average of vertical chords

180 - 2x² = (59 - 2x² + 12 - x²)/2

360 - 4x² = 71 - 3x²

289 = x²

x= 17

So, the measure of <MNL

= (71 - 3x²)/2

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Answer:

Step-by-step explanation:

The first four terms of the sequence t/n = n(6n - 2) are: 4, 20, 48, 88.

Let's substitute n = 1:

t/1 = 1(6(1) - 2)

t = 1(6 - 2)

t = 4

The first term of the sequence (when n = 1) is 4.

Now, let's substitute n = 2:

t/2 = 2(6(2) - 2)

t = 2(12 - 2)

t = 2(10)

t = 20

The second term of the sequence (when n = 2) is 20.

Next, let's substitute n = 3:

t/3 = 3(6(3) - 2)

t = 3(18 - 2)

t = 3(16)

t = 48

The third term of the sequence (when n = 3) is 48.

Lastly, let's substitute n = 4:

t/4 = 4(6(4) - 2)

t = 4(24 - 2)

t = 4(22)

t = 88

The fourth term of the sequence (when n = 4) is 88.

Therefore, the first four terms of the sequence t/n = n(6n - 2) are: 4, 20, 48, 88.

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The pattern in the table should be completed as follows;

Number of                      1          3        9       27        81

students with pets

Total number                  3         9        27     81        243

of students

A ratio that compares the number of blue squares to the total number of squares is 3 : 4.

In Mathematics and Geometry, a proportional relationship can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would find the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/1 = 9/3

Constant of proportionality, k = 3.

y = 3x

81 = 3x

x = 27

x = 9/3

x = 3

y = 3(81)

y = 243

For the ratio of blue squares to total squares, we have:

18/24 = 3/4 = 3 : 4

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Answer:

Equation of the triangle:  (x + 74) + 73 + (37 + x) = 180°

Solve for x:  x = -2

Find the measure of angle A:  A = 35°

Step-by-step explanation:

Step 1:  We know that the 73° angle and the angle inside the triangle that lies opposite it are vertical angles ,so this angle is also 73° .

Step 2:  Similarly, the (x + 74)° angle and the angle inside the triangle that lies opposite it are also vertical angles, so this angle is also represented by the expressions (x + 74)°

Equation of the triangle:  The triangle sum theorem states that the sum of the interior angles of a triangle equals 180°.  Thus, the equation of the triangle is (x + 74) + 73 + (37 + x) = 180

Solving for x:  

Step 1:  Rearrange and combine like terms:

(x + 74) + 73 + (37 + x) = 180

(x + x) + (74 + 73 + 37) = 180

2x + 184 = 180

Step 1:  Subtract 184 from both sides:

(2x + 184 = 180) - 184

2x = -4

Step 3:  Divide both sides by 2 to solve for x:

(2x = -4) / 2

x = -2

Finding the measure of angle A:  Now we can plug in -2 for x in the expression representing the measure of angle A to find the actual measure:

A = 37 - 2

A = 35

Thus, the measure of angle A is 35°.

Optional Step:  We can check that our equation of the triangle, the value we've found for x, and the measure of angle A is correct by simply plugging in -2 for x in the equation of the triangle and checking that we get 180 on both sides:

(-2 + 74) + 73 + (37 - 2) = 180

72 + 73 + 35 = 180

145 + 35 = 180

180 = 180

Thus, all of our answers are correct.

The difference between the record high and low temperatures is 149 degrees.

A negative number is a number that is less than zero. A negative number usually has a minus sign in front of it. An example of a negative number is -35. A positive number is a number that is greater than zero. An example of a positive number is 10.

In order to find the difference between two or more numbers, subtract the numbers from each other.

Difference between the temperature = record high temperature - record low temperature

114 - -35

114 + 35 = 149 degrees

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Answer:

[tex] \sin(x) + \sin(2x) = 0[/tex]

[tex] \sin(x) + 2 \sin(x) \cos(x) = 0[/tex]

[tex]( \sin(x) )(1 + 2 \cos(x) ) = 0[/tex]

sin(x) = 0 or 1 + 2cos(x) = 0

2cos(x) = -1

cos(x) = -1/2

x = kπ or x = 2π/3 + 2kπ or

x = 4π/3 + 2kπ

(k is an integer)

The values of

1. cosθ = √3/2

2. sinθ = √3/2

3. tanθ = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

cosθ = adj/hyp

sinθ = opp/hyp

tanθ = opp/adj

sec θ = 1/cosθ

cosec θ = 1/sinθ

cot θ = 1/tanθ

We need to find the hypotenuse of the triangle

x² = 3² +3²

x = √9+9

x = √18

x = 2√3

cosθ = 3/2√3 = 6√3/12

= √3/2

2. sinθ = 3/2√3 = √3/2

3. tanθ = 3/3 = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

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Answer:

A

Step-by-step explanation:

i do this all the time math is my thing

The required angles are,

∠BAC = 73 degree

∠BCA = 17 degree

∠DCF = 17 degree

∠CDF = 80 degree

∠CFD = 95 degree

Since we can see that,

In triangle ABC

The angle B is right angled

Since we know that,

Sum of interior angles of triangle = 180 degree

Therefore, in triangle ABC

⇒ (9x -8 ) + (2x-1) + 90 = 180

⇒ 11x  = 99

⇒    x  = 9

Thus,

Angle BAC =  9x - 8

                   = 9x9 - 8

                   = 73 degree

Angle BCA = 2x - 1

                   = 2x9 - 1

                    =  17 degree

Now in triangle, CDF,

Angle C is alternate angle for both the triangles,

Therefore,

Interior angle C of triangle CDF = angle DCF = 17 degree

Angle CDF = 9y  - 1

                   = 9x9 - 1

                   = 80 degree

Angle CFD = 11y + 4

                   = 11x9 - 4

                   = 95 degree

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