NEED SOMEONES HELP PLEASE!!

The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;

1. AB:BC = 5:3

2. AB:CD = 1:1

3. m∠A : m∠C= 1 : 4

4. m∠B:m∠C = 4:1

5. AD: Perimeter ABCD = 3:16

A ratio is a representation of the number of times one quantity is contained in another quantity.

The shape of the quadrilateral ABCD in the question = A parallelogram

Length of AB = 15

Length of BC = 9

Measure of angle m∠A = 36°

Therefore;

1. AB:BC = 15:9 = 5:3

2. AB ≅ CD (Opposite sides of a parallelogram are congruent)

AB = CD (Definition of congruency)

AB = 15, therefore, CD = 15 transitive property

AB:CD = 15:15 = 1:1

3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)

Therefore; m∠A = m∠C = 36°

∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)

Therefore; ∠A + ∠D = 180°

36° + ∠D = 180°

∠D = 180° - 36° = 144°

∠D = 144°

m∠A : m∠C = 36°:144° =1:4

m∠A : m∠C = 1:4

4. ∠B = ∠D = 144° (properties of a parallelogram)

m∠B : m∠C = 144° : 36° = 4:1

5. AD ≅ BC (opposite sides of a parallelogram)

AD = BC = 9 (definition of congruency)

The perimeter of the parallelogram ABCD = AB + BC + CD + DA

Therefore;

Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48

AD:Perimeter of the ABCD  = 9 : 48  = 3 : 16

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The 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

To calculate the confidence interval, we can use the formula:

Confidence interval = Sample mean ± (Critical value * Standard error)

Given that the sample mean is 42 miles per hour and the standard deviation is 4.2 miles per hour, we need to determine the critical value and the standard error.

Since we have a sample size of 85, we can use the t-distribution with (n-1) degrees of freedom to find the critical value. With a 90% confidence level, the corresponding critical value for a two-tailed test is approximately 1.66.

The standard error is calculated as the standard deviation divided by the square root of the sample size:

Standard error = (Standard deviation) / √(Sample size)

Standard error = 4.2 / √85 ≈ 0.456

Now we can plug in the values into the confidence interval formula:

Confidence interval = 42 ± (1.66 * 0.456)

Confidence interval ≈ (41.29, 42.71)

Therefore, the 90% confidence interval for the average speed of all the cars passing through the intersection is (41.29, 42.71) miles per hour.

Based on the given data and calculations, we can conclude that with 90% confidence, the average speed of all the cars passing through the intersection falls within the range of 41.29 to 42.71 miles per hour.

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Answer:

Step-by-step explanation:

From the figure attached,

ΔABC has been dilated to form another triangle ΔA'B'C'.

Therefore, ΔA'B'C' is the image triangle of preimage ΔABC.

Coordinates of preimage ΔABC are,

A(3, 3), B(2, 0) and C(5, 2)

Coordinates of ΔA'B'C',

A'(6, 6), B'(0, 4) and C'(10, 4)

Since, dilation of a triangle is a similarity transformation which produces the  similar image of the preimage.

Rule for the dilation is,

(x, y) → (kx, ky)

Here, k = scale factor of dilation

By this rule,

A(3, 3) → A'(6, 6)

          → A'(2×3, 2×3)

Scale factor = 2

Therefore, "Triangle (ABC) is dilated by a scale factor 2 about the origin to form triangle (A'B'C') ".

Answer:

54 and 36

Step-by-step explanation:

84

45% of 120 students chose the amusement park , then

45% of 120 = 0.45 × 120 = 54

54 students chose the amusement park

85

45% of 180 = 0.45 × 180 = 81

25% of 180 = 0.25 × 180 = 45

81 - 45 = 36

36 more students chose the amusement park than the water park

Answer:

54, 36

Step-by-step explanation:

84

45% of 120 students chose the amusement park

45% of 120 = 0.45×120=54

54 students chose the amusement park

85

45% of 180 = 0.45 × 180 = 81

25% of 180 = 0.25 × 180 = 45

81 - 45 = 36

36 students chose the amusement park than the water park

Answer: I got x= -2y  

1- x-2y=1

Cancel 1 on both sides.

−x−2y=0

Add 2y to both sides.

−x=2y

Multiply both sides by -1.

x=−2y

there if that helps :)

Answer:

to know how much grain the cylinder can contain/hold you calculate the volume of the cylinder.

Step-by-step explanation:

volume= πr^2h

=π×9^2×11

=891π inches cube/2799.16 inches cube

At μ = 10.0932 level should the mean be set if it is required that only 1% of the bags weigh less than 9.5 kg.

Given Data:

σ = 0.04 kg

x = 9.5 kg

We want to determine μ such that: P(X ≤ 9.5)= 1% = 0.01

Thus, we know here probability of x is 0.1 which is  less than 9.5

so here Z is -2.326 by the standard table

Determine the z-score in the normal probability table in the appendix that has a probability closest to 0.01:

Then, we have here 1% to left when Z is - 2.326

Now,

The value corresponding to the z-score is then the mean increased by the product of the z-score and the standard deviation:

x = μ+ zσ

= μ− 2.33(0.04) = μ - 0.0932

Since , P(X ≤ 9.5) = 0.95% = 0.095, we know that x also has to be equal to 9.5:

   μ− 0.0932 = 9.5

Add 0.0932 to each side of the previous equation:

μ = 10+ 0.0932

= 10.0932

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Walter buys a bus pass for ₹30. Every time he rides the bus, money is deducted from the value of the pass. He rode 12 times and a value of ₹6 was left on the pass then each bus ride costs ₹2.

To calculate the cost of each bus ride, we subtract the remaining value of the bus pass from the initial value and divide it by the number of rides. In this case, the initial value of the bus pass was ₹30, and after 12 rides, there was ₹6 left.

Cost per bus ride = (Initial value of pass - Remaining value) / Number of rides

Cost per bus ride = (₹30 - ₹6) / 12

Cost per bus ride = ₹24 / 12

Cost per bus ride = ₹2

Therefore, each bus ride costs ₹2.

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Answer:

Step-by-step explanation:

The Blue Ridge Hot Tubs example involves Howie Jones, who is considering how much of two hot tub models to produce: Aqua-Spas and Hydro-Luxes.

The production of these hot tubs requires different amounts of labor and materials, and Howie has limited resources available for production. The goal is to determine the optimal production quantities that maximize Howie's profit.

a. If Howie Jones has to purchase a single piece of equipment for $1,000 in order to produce any Aqua-Spas or Hydro-Luxes, this will affect the formulation of the model of his decision problem in the following ways:

The fixed cost of production will increase by $1,000, since Howie has to purchase the equipment regardless of how many hot tubs he produces.

The cost per unit of production will decrease, since the fixed cost is now spread over a larger number of units produced. This means that the objective function (i.e., the profit) will change, and the optimal production quantities may also change.

The new formulation of the model will need to account for the additional fixed cost of the equipment purchase, and the optimal solution will need to be recalculated.

b. If Howie Jones must buy one piece of equipment that costs $900 in order to produce any Aqua-Spas and a different piece of equipment that costs $800 in order to produce any Hydro-Luxes, this will affect the formulation of the model for his problem in the following ways:

The fixed cost of production will increase by $1,700, since Howie has to purchase both pieces of equipment regardless of how many hot tubs he produces.

The cost per unit of production will still decrease, but the decrease will be different for each hot tub model.

This means that the objective function and the constraints will change, and the optimal production quantities may also change.

The new formulation of the model will need to account for the additional fixed costs of the equipment purchases, and the production constraints will need to reflect the fact that different equipment is required for each hot tub model.

The optimal solution will need to be recalculated to determine the optimal production quantities for each hot tub model, taking into account the cost of the equipment purchases.

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Answer:

i think that its 1/2

Step-by-step explanation:

Answer:

Hi! The answer to your question is C. \(1/3\)

Step-by-step explanation:

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Answer:

24 units

Step-by-step explanation:

BC + DC = BC

12 + 12 = 24 units

The statement 'For a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of H0: µ = µ0 is (X - µ0)/(σ/√n) when X is the sample mean' is true as in this case Z-test can be used.

For a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of H0: µ = µ0 is indeed (X - µ0)/(σ/√n) when X is the sample mean. This is because when the population variance is known, we use the Z-test to determine if the null hypothesis should be accepted or rejected. The Z-test statistic formula is given by Z = (X - µ0)/(σ/√n), where X is the sample mean, µ0 is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.

Note: The question is incomplete. The complete question probably is: True or False: For a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of H0: µ = µ0 is (X - µ0/(σ/√n) when X is the sample mean.

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Answer: 27%

Explantion:

1026/3800 =x/100

cross mulitply and get 102600 then divid both sides by 3800.  

Answer:

27

Step-by-step explanation:

r

Answer:

Out of

Step-by-step explanation:

A two-word phrase used to show division in a word problem.

Out of is a two-word phrase which is used to show division in a word problem.

Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)

Answer:

The size of the post card she should use is 4 in. × 6 in.

Step-by-step explanation:

The parameters given are;

Dimensions of sign = 5 ft. × 7.5 ft

Hence, the ratio of the side sizes are;

5:7.5 which is the same as 2:3, therefore, to obtain the most accurate design of the sign on the post card, the size of the post card must be in direct proportion to the size of the sign which gives;

Side length ratio of post card = 2:3 = 4:6 = 4 in. × 6 in.

The size of the post card she should use is therefore = 4 in. × 6 in.

Answer:

(x + 2)(x + 4)

Step-by-step explanation:

You find two numbers that you can add to get 6 and that you can multiply to get 8, which would be 2 and 4, so it's (x + 2)(x + 4)

As the Planning Engineer of the Main Contractor responsible for the construction of a residential estate project on a sloping site, the principle of scientific management with reference to the construction industry is to simplify the methods and to get the work done by using the best method available to ensure maximum efficiency.

Scientific Management is a term coined by Frederick Winslow Taylor in 1910. The approach of scientific management, also known as Taylorism, focuses on using scientific methods and techniques to improve efficiency and productivity in the workplace. It involves breaking down work into small, standardized tasks and optimizing each task to ensure maximum efficiency. Taylor believed that the best way to achieve this was to scientifically analyze each task and find the most efficient way to perform it. He also emphasized the importance of training workers to perform their tasks in the most efficient manner possible. Taylorism involves close supervision of workers and the use of incentives to motivate them to increase their productivity.

Scientific Management is an approach that can be applied to the construction industry. It involves breaking down the construction process into small, standardized tasks and optimizing each task to ensure maximum efficiency. This can be achieved by using scientific methods and techniques to analyze each task and find the most efficient way to perform it. The principle of scientific management with reference to the construction industry is to simplify the methods and to get the work done by using the best method available to ensure maximum efficiency.

In the context of a residential estate project on a sloping site, scientific management principles can be applied to ensure that the construction process is as efficient as possible. For example, the construction process could be broken down into small, standardized tasks, such as excavating, grading, and pouring concrete. Each of these tasks could be optimized to ensure that they are performed in the most efficient manner possible. This could involve using specialized equipment or tools, such as excavators or bulldozers, to excavate the site. It could also involve using specialized techniques, such as slip-forming, to pour concrete.

In conclusion, the principle of scientific management is to simplify the methods and to get the work done by using the best method available to ensure maximum efficiency. This approach can be applied to the construction industry, including the construction of a residential estate project on a sloping site. By breaking down the construction process into small, standardized tasks and optimizing each task, it is possible to improve efficiency and productivity, while ensuring that the project is completed on time and within budget.

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Answer:

y = (-3/4)x + b

Step-by-step explanation:

If the slope of a given line is m, then the slope of any line perpendicular to the given line is the negative reciprocal of m:  -1/m.

First we need to calculate the slope of the given line, 4x - 3y = 12.  Dividing all three terms by -3, we get

y = (4/3)x - 4

and note that the slope of this line is 4/3.  Then the slope of any line perpendicular to this line is -3/4.

Then a general formula for a line perpendicular to 4x - 3y = 12 is

y = (-3/4)x + b, where the value of b depends upon the point on the given line through which the perpendicular ilne passes.

Answer:

The car

Step-by-step explanation:

1mi = 1.6 km

95km = 95/1.6 = 59.375 km

95km/h = 59.375mi//h

     65mi/h

Comparative:

65 > 59.375

then:

the car is more faster

Answer:

The answer is A : the car will take less time because it travels at a faster speed. the train will travel at 95/1.6=59.03 while the car travels at 65

Step-by-step explanation:

The number 5.229 rounded to the nearest hundredth is 5.23.

Based on the question above, to round to the nearest hundredth, we look at the digit in the thousandths place.

In this case, it is a 9. Since 9 is greater than or equal to 5, we round up the digit in the hundredths place.

Therefore, the 2 in the hundredths place becomes a 3 and the final answer is 5.23.

Number Rounding Rules:

When rounding whole numbers there are two rules to remember:

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The angle of the car's velocity with respect to the floor just before the impact is 0° (i.e., it is directly below the horizontal).

(a) To determine the velocity with which the car left the table, the conservation of energy principle can be applied. Initially, all the energy is potential energy as the car is at rest.

Therefore, the initial energy is equal to the potential energy, and the final energy is equal to the sum of kinetic and potential energies. Equating the two yields:

PE = KEPE

= mghKE

= 1/2mv²

where PE is potential energy,

KE is kinetic energy,

m is the mass of the car,

g is the acceleration due to gravity,

h is the height of the table, and

v is the velocity of the car when it leaves the table.

Substituting the given values,

PE = KE29.0²/2

= 9.81 × 0.01 × h + 0m²/2

where h is the height of the table in meters.

Solving for v, we get:

v = (2gh)1/2

= 6.57 m/s

Therefore, the velocity with which the car left the table is 6.57 m/s.

(b) To find the angle of the car's velocity with respect to the floor just before the impact, the law of conservation of momentum can be applied.

The horizontal and vertical components of the momentum are conserved independently.

Initially, the horizontal momentum is zero as the car is at rest.

Therefore, the final horizontal momentum must also be zero, i.e., the car's velocity has no horizontal component.

The vertical momentum is given by:

p = mv

where m is the mass of the car and v is the velocity of the car when it leaves the table.

Substituting the given values,

p = 0.01 × 6.57

= 0.0657 kg m/s

The angle of the car's velocity with respect to the floor just before the impact is given by:

tanθ = v_vertical/v_horizontal

= p/mv_horizontal

= 0/6.57θ

= tan⁻¹(0/6.57)

= 0°

Therefore, the angle of the car's velocity with respect to the floor just before the impact is 0° (i.e., it is directly below the horizontal).

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Answer:

Step-by-step explanation:

base times height

your base is 14 and height is 3

so your answer is 42

Answer:

y = 4x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)

m = \(\frac{-4-4}{2-4}\) = \(\frac{-8}{-2}\) = 4 , then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 4), then

4 = 16 + c ⇒ c = 4 - 16 = - 12

y = 4x - 12 ← equation of line

Answer:

y = -4x + 17

Step-by-step explanation:

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.

Answer:

-3 1/4 + 4 3/4= 1 1/2

Step-by-step explanation:

Answer:

125+2x=y   (take 125 add 2x for $2 a day and then = y for amount saved)

Points on Graph:

(125,0)

(135,5)

(145,10)

(155,15)

(165,20)

(175,25)

(185,30)

(195,35)

(205,40)

(215,45)

(225,50)

Answer:

Step-by-step explanation:

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

Step-by-step explanation:

Domain of the function is [-2, 4] whereas the range of the function is [-4, 2].

Answer:

9

Step-by-step explanation:

a²+b

Substituting values,

=> (-2)^2+5

=> 4 + 5

=> 9

Answer:

9

Step-by-step explanation:

Where we have :- a = -2 & b = 5

plug the values

Answer:

Solution given:

For finished box

length[L]=36-4-4=28in

breadth [b]=36-4-4=28in

height[h]=4in

Now

volume of square box=l×b×h=28*28*4=3136in³

1.

the volume of finished box is 3136in³

2.

if we change the 4 inches into different measurement ,its maximum or largest volume is 3136in³.

As volume is constant.

The volume of the box will be 3136 cu. unit and the largest volume the box can be made of is also the same.

The amount of space occupied by a three-dimensional object as measured in cubic units (such as quarts or liters)

The given square after getting folded turns into a box of 28*28*4 inches

The volume of the box can be detrmined by using the formula of volume of the cuboid.

Volume of the cuboid = 28*28*4

=3136 cu.inches

The largest volume that the box can have is 3136 as when increasing the height the length or the width will decrease and so does the volume.

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