5. A ladder 17 m long reaches the window of a building 15 m above
the ground. Find the distance of the foot of the ladder from the
building
Hint. Let AB be the ladder, CB be the building and B be the
window.
15 m
Then, AB = 17 cm, BC = 15 m, find AC.)
​

The full price of the wallet that Nathan bought before the discount is $18.60

In this case, we are given that:

The total price after the discount = $17.67

Let’s assume that the full price of the wallet is X

The discount = 5% off = 0.05 X

We can find the full price by using this following formula:

Full price – discount price = total price after discount

X – 0.05X = 17.67

0.95X = 17.67

X = 17.67 : 0.95

X = 18.6

Therefore, the full price of the wallet before the discount is $18.6

To learn more about discount, click here:

https://brainly.com/question/3541148

#SPJ4

Answer:

The interactions of snakes and mice make up which ecological unit?

A. species

B. community

C. biome

D. population

Step-by-step explanation:

The best answer here is community. Please see the explanation below.

Please let me know if this helped!!!

It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).

In the given question, we have to check that it is possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 4.8 and 6.2

4.8 + 6.2 < 12

11 < 12

Now we add 6.2 and 12

6.2 + 12 > 4.8

18.2 > 4.8

Now we add 4.8 and 12

12 + 4.8 > 6.2

16.8 > 6.2

It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).

To learn more about construct a triangle link is here

brainly.com/question/26784196

#SPJ4

It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.

In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 6 cm and 11cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 5 and 6

5 + 6 = 11

11 = 11

Now we add 6 and 11

6 + 11 > 5

17 > 5

Now we add 5 and 11

5 + 11 > 6

16 > 6

It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.

To learn more about construct a triangle link is here

brainly.com/question/29156739

#SPJ4

2x - 4y + 9 is the equation of the line in standard form.

Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.

Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.

Lets write the equation of the line in standard form:

4y=2x+9

We know that standard form =  Ax + By=C

⇒ 4y = 2x + 9

⇒ 2x - 4y + 9

Here,

Ax = 2x

By = -4x

C = 9

Thus, 2x - 4y + 9 is the equation of the line in standard form.

Learn more about standard form

https://brainly.com/question/29000730

#SPJ1

The value of x is 70°

Solution:

Interior angle = (n-2) . 180°

(6 - 2) . 180°

Measure of Interior angle = 720°

x + 102 + 146 + 120 + 124 + 158 = 720°

x = 70°

To learn more about interior angle refer to:

https://brainly.com/question/24966296

#SPJ1

Answer:

m<T = 36*

m<V = 54*

Step-by-step explanation:

2x + 90 + 3x = 180

5x + 90 = 180

5x = 90

x = 18

<T = 2x = 18 * 2 = 36

<V = 3x = 18 * 3 = 54

Hope this helps!

In the table that shows the  the length, in inches, of fish in a pond, there are no outlier. Last option

In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.

Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.

Read more on outliers here: https://brainly.com/question/29546240

#SPJ1

Answer: D

Step-by-step explanation:

I got it right on the test

In the given diagram, using similar triangles theorem, the value of x is 17

From the question, we are to determine value of x in the given diagram

From the similar triangles theorem, we can write that

JK/KL = UV/VW

From the given information,

JK = 4x - 23

KL = 25

UV = 2x + 2

VW = 20

Thus,

(4x - 23)/25 = (2x + 2)/20

20(4x - 23) = 25(2x + 2)

80x - 460 = 50x + 50

80x - 50x = 50 + 460

30x = 510

x = 510/30

x = 17

Hence, x is 17

Learn more on Similar triangle: Calculating the sides of a triangle here: https://brainly.com/question/24085502

#SPJ1

1. The complete table is:

x  |  f(x)     |   g(x)                

0     1             0

1     3             3

2    9             6

2. g(x) has the greater rate of change between 0 and 1 is: g(x).

3. f(x) has the greater rate of change between 1 and 2 is: f(x).

4. f(x) is greater.

The rate of change = f(b) - f(a) / b - a.

Given the following functions as:

f(x) = 3^x

g(x) = 3x

1. Complete the table by plugging in each of the values of x:

x  |     f(x)                                  |                         g(x)                            

0    f(0) = 3^0 = 1                        g(0) = 3(0) = 0

1     f(1) = 3^1 = 3                         g(1) = 3(1) = 3

2    f(2) = 3^2 = 9                        g(2) = 3(2) = 6

2. Rate of change between 0 and 1:

a = 0

b = 1

For function f(x) = f(b) - f(a) / b - a = 3 - 1 / 1 - 0 = 2

For function g(x) = g(b) - g(a) / b - a = 3 - 0 / 1 - 0 = 3

The function with the greater rate of change between 0 and 1 is: g(x).

3. Rate of change between 1 and 2:

a = 1

b = 2

For function f(x) = f(b) - f(a) / b - a = 9 - 3 / 2 - 1 = 6

For function g(x) = g(b) - g(a) / b - a = 6 - 3 / 2 - 1 = 3

The function with the greater rate of change between 1 and 2 is: f(x).

4. Rate of change between 0 and 2:

a = 0

b = 2

For function f(x) = f(b) - f(a) / b - a = 9 - 1 / 2 - 0 = 4

For function g(x) = g(b) - g(a) / b - a = 6 - 0 / 2 - 0 = 3

The function with the greater rate of change between 0 and 2 is: f(x).

Learn more about the rate of change of a function on:

https://brainly.com/question/25184007

#SPJ1

The set of ordered pair (x,y) is a function If each value of x has exactly only one corresponding value of y .

What are Function ?

The Function is defined as a relation that associates each element 'a' from a non empty set A  to at least a single element 'b' from another non-empty set B.

For Example : Consider the ordered pairs , F = [tex][(0,4) , (2,3)][/tex] ;

the element 0 has the image as 4 , and the element 2 has the image as 3 .

So , we can see that , the each value of x has exactly only one corresponding value of y .

Therefore , the given ordered pair can be considered as a function .

Learn more about Function here

https://brainly.com/question/28931422

#SPJ4

To convert 2D to 3D in AutoCAD 2022, install Microsoft 3D Builder.

Transform your 2D ideas and designs into 3D models with Autodesk® software. Autodesk software not only enables you to digitally design, visualize and simulate your most complex ideas, but it also eases the transition from 2D to 3D design and engineering processes.

Steps are:

1. Install Microsoft 3D Builder.

2. Uploading an image and converting it to 3D.

3. Which conversion method to choose.

4. Level selection and smoothing.

5. Scale your image to the size you want.

6. Save the image.

7. Export the 3D model for 3D printing or other 3D applications.

8. Rendering the 3D model.

9. Share the 3D model with others.

To know more about AutoCAD:

brainly.com/question/26979679

#SPJ4

When graphing the dots the first number is x and the second is y. when you graph the dots it should line up and look like a straight line, it doesnt matter if its diagonal as long as its straight. thats one of the reasons on why its proportional. graph the third box. (-2,-4) (-1,-2) (1,2) (2,4). thats the only box with a proportional relationship because when checking if its proportional you put the y over x to make it a fraction. for example, 2/1  which simplified is just 2. then you do that again with the rest of the table. using the third table it would be -4/-2 which simplified is 4/2 2/1 also known as 2. -2/-1 2/1 2. 2/1 2. 4/2 2/1 2. all of those simplified is 2 meaning its proportional. hope this helps!

Answer: Goals can give you a reason to save.

The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )

When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.

Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:

Point X :

= 2 x 2

= 4

Point Y:

= 1 x 2

= 2

So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )

It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.

Find out more on dilation at https://brainly.com/question/10253650

#SPJ1

D) it has indefinite shape but define volume

Liquids take shape of whatever container you put them in but flow freely if un-restrained, it has a volume because it doesn't grow or disappear unless acted upon

Juan needs to spent 22.23 to buy 7.8 pounds of seedless red grapes.

A unitary method is a mathematical method for calculating the value of a single unit and then multiplying it by the number of given units.

Given that:

Juan purchased 7.8 pounds of seedless red grapes for $2.85 per pound.

The cost of the unit pound is already given here. To get the cost of 7.8 pounds, multiply the cost of the unit pound by the number of pounds,      i.e.  

= (7.8×2.85)

= 22.23.

Learn more about unitary method

brainly.com/question/28276953

#SPJ1

The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.

Comparing amounts is done using a ratio. A ratio demonstrates how many times one amount fits inside another or how much larger one amount is than another.

If I need to mix some cement, I would add two parts cement to four parts sand. The two numbers are both portions of the entire. Hence, the 2:4 ratio (6 parts in total). The written version is crucial; 4:2 would produce a different blend.

Ratios are expressed in their most basic form. There are five green and fifteen red dots in the figure on the right. The ratio is 15:5, but like with fractions, this can be boiled down to its most basic form.

If you look at the relationship between the numbers 15:5 as is 3:1, you can see that 3 is multiplied by 5 to obtain 15 and that 1 is multiplied by 1 to get 5. The ratio, as we can see in the image, is also 3:1.

Therefore,

The comparison of two quantities with different units is called a ratio and proportion. A ratio that specifically compares two quantities measured in different units.

To Learn More about Ratio and proportion problems visit :

brainly.com/question/30229035

#SPJ4

The number of games that the team won away from home is given as follows:

2 games.

The number of games that the Paris Saint Germain team won away from home is obtained applying the proportions given in the context of this problem.

60% of the 20 games he attended were at home, hence 40% of the games were away games, hence the number of away games attended by Monsieur is given as follows:

0.4 x 20 = 8 games.

The team also won 2/3 of the home games, hence the number of wins at home is given as follows:

2/3 x 12 = 8 games.

They won 50% of all games Monsieur le Gacy attended, hence the number of wins is given as follows:

0.5 x 20 = 10 wins.

The wins are then divided as follows:

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

Step-by-step explanation:

its 6

Answer:

(3,1)

Step-by-step explanation:

Answer:

2 sides of equal length meaning the poster is a rectangle

Answer:5

Step-by-step explanation: 42 divided by 4 = 10.5

10.5 divided by 2 = 5.25

round it and you get 5 pies per peck of apples

Step-by-step explanation: hi I also need help with this when the answer is posted pls let me know

Answer:

1.  17

2.  6

3.  (9/8)

4.  (2/3)

Step-by-step explanation:

1. 3(x-12) =15

   3x-36=15

   3x = 51

     x = 17

2. -5(-2×+10) =10

    10x - 50 = 10

    10x = 60

      x = 6

3. 8(6-4x) = 12

    48 -32x = 12

     -32x = -36

        x = (-36/-32)

        x = (9/8)

4. 3(2+6X) = 18

     6 + 18x = 18

       18x = 12

          x=(12/18)

         x = (2/3)

Amount is paid for a tip = $1.48 that is 15% of the total cost.

Amount of money paid by the customer himself to express the gratitude.

towards the hospitality made by the certain service sector.

cost of meal = $7.24

cost of coffee = $2.65

total cost including meal and coffee = $(7.24+2.65) = $9.89

tip is given by customer 15 % of total cost

the amount of tip paid = 15/100×9.89 =$1.48

The customer paid $1.48 along with total cost $9.89.

To know more about tip visit:

https://brainly.com/question/17142182

#SPJ1

Any number will do as a starting point. Then, multiply that figure by 9. If the outcome is a multiple-digit number .

In mathematics, a sequence is a list of things that are in a particular order (or events). It has members, much like a set (also called elements, or terms). The number of ordered items determines the sequence's length (potentially infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary types of sequences that you should be aware with. A number sequence is a group of numbers connected by a rule. If you understand the rule, you can figure out the subsequent numbers in the series. Each number in this case differs from the others by 6. Because of this, the rule for this sequence is to add 6 each time.

given

Any number will do as a starting point.

Then, multiply that figure by 9. If the outcome is a multiple-digit number, add the digits to create a new number.

Add the digits of that new number together to create a new one if it is still a multi-digit number.

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ4

A pyramid with a square base has a volume of 42.67 cubic meters.

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.

Here,

perimeter=12.8 m

side=12.8/4

=3.2 m

volume=1/3*3.2²*12.5

=1/3*128

=42.67 m³

The volume of a pyramid with a square base is 42.67 m³.

To know more about perimeter,

https://brainly.com/question/11752492

#SPJ4

Answer:

b

Step-by-step explanation: