The width of a rectangle is one half its length. The perimeter of the rectangle is 54 cm. What are the width and length of the rectangle?​

9514 1404 393

Answer:

  x = 4.9 cm

Step-by-step explanation:

The product of segment lengths is the same for each chord:

  (7 cm)(7 cm) = x(10 cm)

  x = (49 cm^2)/(10 cm)

  x = 4.9 cm

The number of people at the reception whose favorite snack will be cookies is around 360.

Firstly we will find the total number of random people who were surveyed.

Total number of random people = 26 + 44 + 89 + 61

Performing addition on Right Hand Side of the equation

Total number of random people = 220

Number of people who like cookies from survey = 44/220

Performing division on Right Hand Side of the equation

Number of people who like cookies from survey = 0.2

Now, predicted number of people who like cookies = 1800 × 0.2

Performing multiplication on Right Hand Side of the equation

The predicted number of people who like cookies = 360

Thus, 360 people might like cookies.

Learn more about prediction calculation -

https://brainly.com/question/2088661

#SPJ4

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

For more such questions on price

https://brainly.com/question/28420607

#SPJ8

A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution and he value of the test statistic for your Z-test is 3.1111

Given :

You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site.

we know that ,

z = x - μ / σ

= 160 - 48 / 36

= 112 / 36

= 3.1111

Learn more about the hypothesis here:

https://brainly.com/question/29576929

#SPJ4

Answer:

$130

Step-by-step explanation:

Answer:

Since she takes one complete round which is equal to perimeter of the rectangular park. Therefore, the distance covered by her is 460m.

Answer:

\(h \:(x) = 30 \: {x}^{2} - 54x + 10\)

The regression equation for the given data set is ŷ = -0.09x + 74.17.

To find the regression equation for the given data set, we can use linear regression analysis.

The regression equation has the form ŷ = mx + b,

where ŷ represents the predicted value of y, x represents the independent variable, m represents the slope, and b represents the y-intercept.

Using the given data set:

x: 245, 187, 198, 189, 176, 266, 210, 255

y: 50, 54, 55, 78, 44, 41, 51, 60

We can calculate the slope (m) and y-intercept (b) using the following formulas:

\(m = (n\sum xy - \sum x\sum y) / (n\sum x^2 - (\sum x)^2)\)

b = (∑y - m∑x) / n

where n is the number of data points, ∑xy represents the sum of the products of x and y, ∑x represents the sum of x values, ∑y represents the sum of y values, and \(\sum x^2\) represents the sum of squared x values.

Calculating the necessary sums, we have:

∑x = 176 + 187 + 189 + 198 + 210 + 245 + 255 + 266 = 1736

∑y = 41 + 44 + 50 + 51 + 54 + 55 + 60 + 78 = 393

∑xy = (17641) + (18744) + (18950) + (19851) + (21054) + (24555) + (25560) + (26678) = 95476

\(\sum x^2 = (176^2) + (187^2) + (189^2) + (198^2) + (210^2) + (245^2) + (255^2) + (266^2) = 304972\)

Plugging these values into the formulas, we can calculate the slope (m) and y-intercept (b):

m = (895476 - 1736393) / (8304972 - 1736^2) ≈ -0.09

b = (393 - (-0.091736)) / 8 ≈ 74.17

For similar question on regression equation.

https://brainly.com/question/25987747  

#SPJ8

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Answer:

six equal to eight?????

All of the outside angles added together are 360 so it would be 7x+49+6x+33+83=360

13x+165=360

13x=195

x=15

Answer:

y = - 5/2x - 23/2

Step-by-step explanation:

b = y - (slope)(x)

b = -4 - (-5/2)(-3)

b = -4 - 15/2 = - 23/2

y = -5/2x - 23/2

The correct answer is the figure is divided into two congruent halves by line of symmetry.

Hope this helps the confusion Because this is correct I did it and got it right  TRUST PLEASE  ^o^

The correct statement is that the figure is divided into two congruent halves by line of symmetry.

Symmetrical figures are those figures which are congruent to each other and are mirror images of each other.

Line of symmetry of a figure is the line that makes the figure in to two equal halves where each half is the mirror image of the other.

A figure with line symmetry means that the figure can be made in to two equal halves using a line.

So it will have a line of symmetry.

So the line of symmetry divides the figure in to two congruent halves.

Hence the figure is divided into two congruent halves by line of symmetry.

Learn more about Line Symmetry here :

https://brainly.com/question/30963765

#SPJ3

Answer:

x^2 - 3x - 28

Step-by-step explanation:

(x+4)(x-7)

x^2-7x+4x-28

\(x^{2}-3x-28\)

Answer:

you already know the answer btw the answer is. temp after 8 minutes is 120 temp after the minutes is 190

The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02

If the actual width of the caliper is represented as x

Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02

Learn more : https://brainly.com/question/15748955

Answer:

??????

Step-by-step explanation:

9514 1404 393

Answer:

  1.  see the first attachment for a graph; quadrants I, II, III; vertex (-3, -4); x-intercepts -5, -1; graph is dashed line, shaded inside the parabola, which opens up

  2.  see the second attachment for a graph; all quadrants; vertex (1, 2); x-intercepts 1±√2; graph is a solid line, shaded outside the parabola, which opens down; (-7, 0) is a solution

Step-by-step explanation:

1. The boundary expression is in vertex form, so the vertex can be read directly.

  y = (x -h)^2 +k . . . . . . parabola with vertex (h, k)

  y > (x +3)^2 -4 . . . . .  (h, k) = (-3, -4)

The leading coefficient is +1, a positive number, so the parabola opens up. The relation is y > ( ), so values of y above the dashed line will be shaded. Those values are inside the parabola. The points (0, 0) and (-7, 0) are not in the shaded area, so are not solutions.

__

2. Again, the boundary expression is in vertex form, so the vertex can be read directly.

  y ≥ -(x -1)^2 +2 . . . . . (h, k) = (1, 2)

The x-intercepts are found by solving for x when y=0:

  0 = -(x -1)^2 +2

  x -1 = ±√2

  x = 1±√2

The leading coefficient is -1, so the parabola opens downward. The relation is y ≥ ( ), so y-values above the solid line will be shaded. Those values are outside the parabola. Point (0, 0) is not a solution. Point (-7, 0) is a solution.

_____

Additional comment

As with the graph of any inequality, the boundary line is solid when the "or equal to" case is part of the relation. If the relation is strictly "greater than" or "less than", then the boundary line is dashed.

To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

X is 108, infinite

Step-by-step explanation:

The triangles are congruent by the SSS postulate if:

16/9k-231 = 524/3 (1)

And

K+5/6 = 10j-17 (2)

Let's solve equation (1) first:

Now, for equation (2)

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer:

AnB=3,7

AuB=3,7,1,5,6,8,9,12,13,14

=1,3,5,6,7,8,9,12,13,14

Answer:

we know that isoceles has pair of angle with same measurement and sum of interior angle of triangle is 180°

Step-by-step explanation:

Let other angle be x

x+x+74°= 180°

=> 2x = 180°-74°

=>x = 106°/2

=> x= 53°

If one of the angles in an isosceles triangle is 74°. Then the other two angles will be 53°.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles triangle, two angles and their opposite sides are equal.

One of the angles in an isosceles triangle is 74°.

Let the other angle be x.

Then the value of x will be

x + x + 74° = 180°

            2x = 180° – 74°

            2x = 106°

              x = 53°

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

D: ( - ∞, 5)

R: [- 3, ∞)

Step-by-step explanation:

The domain is the set of possible x values. The function has values from below five while not including 5(as shown by the open circle). Therefore the domain would be ( - ∞, 5). (Open brackets are non-inclusive while closed brackets are inclusive).

The range is the set of possible y values. The minimum of this graph seems to be at y = -3, and there is not a maximum as while the x values decrease, the y-values infinitely increase. Therefore, the range is [- 3, ∞)

There are 6 ounces of coffee left in the pot after Emily poured 3/4 of it out.

Given that, Emily poured 3⁄4 of the coffee out of her 24-ounce coffee pot.

This means that Emily kept only ( 1 - 3/4 ) of the original amount of coffee in the pot.

Which is: 1 - 3/4 = 1/4

To find out how much coffee is left in the pot, we need to calculate 1/4 of the original amount, which is:

coffee is left in the pot = 1/4 × original amount

coffee is left in the pot = 1/4 × 24 ounces

coffee is left in the pot = 6 ounces

Therefore, there are 6 ounces of coffee left.

Learn to solve more questions involving fraction here: https://brainly.com/question/31158261

#SPJ1

Answer:

An ROE, or Record of Employment, is a form that employers fill out for their employees who receive insurable earnings. This form provides proof of work and allows employees to collect unemployment insurance if they experience an interruption of earnings. The purpose of an ROE is to inform Service Canada whether the employee is eligible to receive Employment Insurance (EI).

Step-by-step explanation:

The ROE (Record of Employment) serves as an important document that provides information about an individual's employment history and earnings when their employment is terminated. The ROE contains details such as the reason for termination, the dates of employment, and the insurable earnings during the period of employment. This information is used by the government to determine eligibility and calculate the amount of EI benefits an individual may receive. The ROE acts as proof of employment and earnings for individuals who may need to demonstrate their work history and income when applying for loans, mortgages, or other financial services. It is often required by banks, financial institutions, or other organizations to verify employment and income information. The information on the ROE is also used for tax purposes. It helps individuals accurately report their employment income and related deductions when filing their annual tax returns. Employers submit copies of the ROE to the tax authorities to ensure accurate tax reporting. The ROE serves as an official record of an individual's employment history. It documents the start and end dates of employment, the reason for termination, and other important details that may be useful for future reference or potential future employers.

Answer: (1/6)^2

Step-by-step explanation:

Answer:

The third answer is correct

Step-by-step explanation:

Use the properties of degrees:

1)

\( {( \frac{1}{108} })^{3} = \frac{ {1}^{3} }{ {108}^{3} } = \frac{1}{6561} \)

\( \frac{1}{6561} ≠ \frac{1}{36} \)

.

2)

\( ({ \frac{1}{9} })^{3} = \frac{ {1}^{3} }{ {9}^{3} } = \frac{1}{729} \)

\( \frac{1}{729} ≠ \frac{1}{36} \)

.

3)

\( ({ \frac{1}{6} })^{2} = \frac{ {1}^{2} }{ {6}^{2} } = \frac{1}{36} \)

\( \frac{1}{36} = \frac{1}{36} \)