Ms. Nettleton wants to create an outdoor space for her dogs. The distance between the furthest corners is 4 feet. The width of the area is 2 feet. How long is the length of the area?

(please help)​

Answer: The carpenter will spend $38.84

Step-by-step explanation:

8.5 feet of rope and the rope costs 4.57 per foot

8.5x4.57=38.845

Since half a cent does not exist we can get rid of the 5 at the end

Therefore the carpenter will have to spend $38.84

Unless you want to round it up, then it will be $38.85

The two-column table to prove ∠ABC ≅ ∠DBE using the angle addition postulate is presented as follows;

Statements  [tex]{}[/tex]                                                  Reasons

1. ∠ABD is a right angle   [tex]{}[/tex]            1. Given

∠CBE is a right angle

2. ∠ABD are complementary  [tex]{}[/tex]    2. Definition of complementary angles

3. ∠CBE are complementary  [tex]{}[/tex]     3. Definition of complementary angles

4. ∠ABC ≅ ∠DBE   [tex]{}[/tex]                       4. Congruent complements theorem

The angle addition postulate states that the when two angles are placed side by side such that they share a common ray, the measure of the angle formed by the two angles is the sum of the measure of the individual angles.

∠ABD = ∠ABC + ∠CBD (angle addition postulate)

∠ABD = 90° (definition of right angle)

∠ABC + ∠CBD = 90° (substitution property of equality)

∠ABC and ∠CBD are complementary (definition of complementary)

Similarly

∠CBE = ∠CBD + ∠DBE (angle addition postulate)

∠CBE = 90° (definition of right angle)

∠CBD + ∠DBE = 90° (substitution property of equality)

∠CBD and ∠DBE are complementary (definition of complementary)

∠ABC is a complementary angle to ∠CBD and ∠DBE is a complementary angle to ∠CBD

Therefore;

∠ABC is congruent to ∠DBE (congruent complements theorem)

The congruent complement theorem states if an angle ∠A is a complement to an angle ∠C and if an angle ∠B is also a complement of angle ∠C then ∠A is congruent to ∠B.

Learn more about the congruent complement theorem here:

https://brainly.com/question/4273518

#SPJ1

Answer:

y = [tex]\frac{1}{6}[/tex] x + 9

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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-9}{6-0}[/tex] = [tex]\frac{1}{6}[/tex]

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y = [tex]\frac{1}{6}[/tex] x + 9 ← equation of line

Given -

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Prove  -

How many grams of zinc does it chemical contain.

Answer

suppose that scalar multiple of the  zinc and copper be y .

As given

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Than equation is

13y = 546

13y = 546

y = 42

Zinc contain in the certain chemical = 4y

                                             = 4 42

                                             = 168 grams

Therefore 168 grams of zinc contain in a certain chemical .

The coordinates of x and y on the graph can not form a function.

x and y do not show any relationships.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph.

(2, 0)

(2, 1)

(-1, 2)

(1, 3)

(0, -1)

(2, -3)

(-1, -1)

(3, -2)

We can say that,

A function can not have one to many.

We have,

(2, 0), (2, 1), and (2, -3).

This means,

For x = 2, y = 0, 1, -3.

This is not possible.

Thus,

The coordinates of x and y on the graph can not form a function.

x and y do not show any relationships.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In ΔTUV, m∠T = 58° and m∠U = 97°.

Then the third angle of the triangle will be given as,

∠T + ∠U + ∠V = 180°

58° + 97° + ∠V = 180°

155° + ∠V = 180°

∠V = 180° - 155°

∠V = 25°

In a triangle, the opposite angle of the largest side will be the largest one.

The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ1

Answer:

2

Step-by-step explanation:

y² = 4²= 16 (in substitution way)

16÷8= 2

mark me on brainliest please follow me to

Answer:

2

Step-by-step explanation:

y^2/8

4^2/8

16/8

2

Hopes this helps please mark brainliest

Answer:

18X^2 + 18XY + 12YX + 12Y^2

Step-by-step explanation:

you have to moltiplicate the first term with the other two and the same thing for the second term of the first moltiplication

Step-by-step explanation:

what is the question you need an answer for ?

I assume you only need the result of the multiplication of both terms.

remember, when multiplying summary terms, we need to multiply every part of one term with every part of the other term.

(3x + 2y)(6x + 6y) = 18x² + 18xy + 12xy + 12y² =

= 18x² + 30xy + 12y²

Answer:

Step-by-step explanation:

The average length of two raven eggs is about 0.1 m.

Since the average length of a robin egg is about 0.02 m, 5 eggs laid end to end would measure about 0.1 m.

The coordinates of the image of the point (-7, 5) are (7, -5).

We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.

Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.

X = x*cosθ - y*sinθ

X = (-7)*cos(180°) - (5)*sin(180°)

X = (-7)*(-1) - (5)*(0)

X = 7

Y = x*sinθ + y*cosθ

Y = (-7)*sin(180°) + (5)*cos(180°)

Y = (-7)*(0) + (5)*(-1)

Y = -5

To learn more about image of a point, visit :

https://brainly.com/question/28361327?referrer=searchResults

#SPJ1

Answer:0.02275

Normal distribution:

Which is symmetrical about mean.

Mean:

It is the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Complement rule:

When two disjoint sets are meant to occur then the sets are said to be complementary.

Given:

Mean= 0.4 seconds

Standard deviation= 0.005 seconds

Let, X be the reaction time for the driver to view stimulus.

So, distribution of X is given by:

X~ N( 0.4, 0.005)

Where σ= 0.05 and µ= 0.4

Solving this ques by using normal standard deviation and z score given as:

z=\frac{x-µ}{σ}

Applying formula:

P(X>0.5)= P{(x-µ/σ) > (0.5-µ/σ)} P {Z > (0.5-0.4/0.05)}

=P(Z > 2)

By using complement rule we get,

P(Z>2) = 1- P(Z<2)

Using normal standard table we have,

P(Z>2)=1- P(Z<2)

= 1- 0.97725

= 0.02275

To know more about normal distribution:

https://brainly.com/app/ask?q=Normal+distribution+

The probability that a reaction requires more than 0.5 seconds is 0.0227

Z-score standardization:

The amount of standard deviations the data point deviates from the mean is shown by the standardized z-score.

• If the z-score increases when it is higher than the mean (0).

• If the z-score is below the mean and takes a negative value (0).

Given that,

Mean = μ =0.4

Standard deviation = σ =0.005

The probability that a reaction requires more than 0.5 seconds is obtained by;

Let X denotes the reaction time of a driver which follows a normal distribution with a mean of 0.4 seconds and a standard deviation of 0.005 seconds.

P(X > 0.5) = 1 - P(X < 0.5)

                = 1 - P(0.4 < X < 0.5) (0.5 - 0.4/0.005)

                = 1 - P(25.06)  

                = 1 - P(252)

From the “standard normal table”, the area to the left of is 0.9773.

P(X > 0.5) = 1 - P(252)

                = 1 - 0.9773

                = 0.0227

Hence, the probability that a reaction requires more than 0.5 seconds is 0.0227

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

The total distance leon biked in miles that weekend is 19.5 miles.

The answer provided below has been developed in a clear step by step manner.

On Saturday, Leon biked 1.5 hours at a speed of 14.5 miles per hour that means distance =  14.5 * 1.5 = 21.75 miles

On Sunday, he biked 2.75 hours at a speed of 15 miles per hour that means distance =15 * 2.75 =41.25  miles

Distance = speed*time  use this formula

He farther did in sunday = 41.25 - 21.75 miles = 19.5 miles

Therefore, that weekend Leon rode his bike a total of 19.5 miles.

Learn more about Distance :

brainly.com/question/18246609

#SPJ4

Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

Given that,

Cindy and Irma visited an arcade where the games accepted tokens. Irma used 58 tokens in total while playing 9 games of skee ball and 10 games of pinball. Cindy used up 26 tokens playing 5 games of skee ball and 4 games of pinball concurrently.

We have to find how many tokens are needed for each game. How many tokens are required for each skee ball game.

Let us take the skee balls as x and the pin ball as y.

We get,

9x+10y=58---> equation (1)

5x+4y=26---> equation (2)

Multiply equation (1) with 5 and equation (2) with 9.

5(9x+10y=58)⇒45x+50y=290

9(5x+4y=26)⇒45x+36y=234

                     ------------------------          (subtracting those equation)

                       0+14y=56

14y=56

y=56/14

y=4

Substitute y=4 in equation(2)

5x+4y=26

5x+4(4)=26

5x+16=26

5x=26-16

5x=10

x=10/5

x=2

Therefore, Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.

To learn more about game visit: https://brainly.com/question/3863314

#SPJ13

The equations y=3+2 and y=2x+1 both will meet at x=3

Acc to our question-

Hence,The lines y=3x−2 and y=2x+1 both will intersect at x=3

learn more about inequalities click here:

https://brainly.com/question/25275758

#SPJ13

A graph of the given equation (x - y = 6) is shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Next, we would rewrite the given equation in standard form as follows:

x - y = 6

Adding y to both sides of the equation, we have the following:

x - y + y = 6 + y

x = 6 + y

Rearranging the equation, we have the following:

y = x - 6

By critically observing the graph (see attachment), the y-intercept is equal to -6 and the x-intercept is equal to 6.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Answer:

z = 52°

Step-by-step explanation:

Formula we use,

→ A + B + C = 180°

Then the value of z will be,

→ 81° + 47 ° + z = 180°

→ 128° + z = 180°

→ z = 180° - 128°

→ [ z = 52° ]

Hence, the value of z is 52°.

Answer:

The answer is –3 < 1

Step-by-step explanation:

-3 is below zero. 1 is above zero. therefore, -3 less than 1

The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.

Given that, last week, Lora used 840 minutes. This week, Lora used 504 screen time minutes on the phone.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now,

Difference=840-504

= 336

Percentage decrease = Difference in value/Original value ×100

= 336/840 ×100

= 0.4 ×100

= 40%

The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Round 31.24 to 1 decimal place:

31.2

Answer:31.2

Step-by-step explanation:

you remove the 4 because it is less than 5.

Answer:

Step-by-step explanation: The constant growth for Plant A is two cm a month and the growth of Plant B is also two cm a month.

In relation, Plant B will also be 3cm taller than Plant A on any month so when Plant A is 49cm, Plant B is 52.

When Piece A's height is 49 cm then the Piece B's height will be 52 cm.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We can see that Piece A's height increases by 2 cm each month and Piece B's height increases by 2 cm each month as well.

To find out what Piece B's height will be when Piece A's height is 49 cm, we need to find how many months it will take for Piece A to reach 49 cm.

From Month 1 to Month 2, Piece A's height increased by 2 cm, and from Month 2 to Month 3, Piece A's height increased by another 2 cm. Therefore, Piece A's height increases by 2 cm per month.

To go from 28 cm (Piece A's height in Month 3) to 49 cm, it takes 21 cm ÷ 2 cm/month = 10.5 months.

So 10.5 months after Month 3 is Month 13.5.

In Month 13.5, Piece A's height will be 49 cm and Piece B's height will be:

Piece B's height in Month 3 + 2 cm/month × (13.5 - 3 months)

= 31 cm + 2 cm/month × 10.5 months

= 52 cm

Therefore, when Piece A's height is 49 cm, Piece B's height will be 52 cm.

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ2

In this problem 0.7 is the standard deviation of the contents.

It is a statistic that gauges a dataset's dispersion from its mean, and it is calculated as the variance's square root. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean. A dataset's dispersion from its mean is measured by standard deviation. It is determined as the variance's square root. In the financial industry, standard deviation is frequently employed as a gauge of an asset's relative riskiness.

Given,

A random sample of 196 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.7 ounces.

In this problem 0.7 is the standard deviation of the contents.

To learn more about standard deviation, visit:

https://brainly.com/question/16555520

#SPJ4

The statement that best describes the relationship that is displayed by the scatter plot is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

A scatter plot is used to show the relationship between two variables that are different, whereby the trendline formed by each data point determines whether the relationship between the two variables is negative or positive.

If the trendline slopes upwards, it is positive, if it slopes downwards, it is negative.

If it is negative, it means as one variable increases, the other one decreases. On the other hand, if it is positive, it implies that as one variable increases, the other variables decreases.

The scatter plot given shows that the relationship between the distance of the attempt and success rate is negative. This implies that, as the distance of the attempt increases, the success rate decreases.

Therefore, the accurate description is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

Learn more about the scatter plot on:

https://brainly.com/question/6592115

#SPJ1

Answer:

D. as the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.

Step-by-step explanation:

Answer: b)

Please give brainliest thx

The height of the electric pole is 12 m

When an electric wire falls, its one end touches the ground at P, 5 m away from the base of the pole,

base = 5

length of the wire from the top of the pole to the ground is 13 m

Height of the plant can be calculated by pythagoras theorem

h² = p² + b²

13² = p² + 5²

p² = 169 - 25

p = √144

p = 12m

Therefore, the height of the electric pole is 12 m

To learn more about pythagoras formula refer here

https://brainly.com/question/343682

#SPJ9

The slope of the given line in the graph is 0.

What is slope?

 The steepness and direction of a line are measured by its slope. Any two points along the line can be used to calculate it. A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x). The Slope, also known as the Gradient, of a straight line displays how steep the line is. The change in y coordinate relative to the change in x coordinate is known as the slope of an object.

Here the given graph points are,

[tex](x_1-y_1)=(1,1)\\(x_2,y_2)=(4,1)[/tex]

Using slope formula ,

=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = [tex]\frac{1-1}{4-1}[/tex]

=> slope m = 0/3

=> slope m=0.

Therefore slope of the line is 0.

To learn more about slope refer the below link

https://brainly.com/question/16949303

#SPJ1

Step-by-step explanation:

To find the Area of a Trapezium, we use 1/2(a+b)*h

where a=2.8 and b=4.4, Height=3.5

1/2(2.8+4.4) *3.5

1/2(7.2)*3.5

3.6*3.5

12.6cm2

Answer:

Step-by-step explanation:

Area of a trapezium = 1/2(a + b) x h

1/2 (2.8 + 4.4) x 3.5

1/2 x 7.2 x 3.5

12.6

Answer:The equation 8.9+(6.4 +7.2) is correctly applying the Associative Property of Addition.

Step-by-step explanation:

The Associative Property of Addition states that when adding three or more numbers, the order in which the numbers are added does not affect the sum.

The time taken to earn the interest of $205 on the investment by Hamad is 2563 days.

The formula for calculating the simple interest is-

SI = PRT/100

In which,

Put in formula.

205 = 5,500×11×T/200

T = 205×200 /  5,500×11

T = 0.67 years

T = 8.13 months = 253 days.

Thus, the time taken to earn the interest of $205 on the investment by Hamad is 2563 days.

To know more about the simple interest, here

https://brainly.com/question/2294792

#SPJ4

The probability of the experiment is = 0.375, 0.665.

acc  to our question-

learn more about probability click here:

brainly.com/question/13604758

#SPJ4