4. A rectangular park has been constructed in

downtown Lilburn. The designer wants to put a gravel

walkway that cuts diagonally through the park. The

width is 8 ft and the height is 6 ft long. What is the

length of his walkway?

Answers

Answer 1

Answer:

10ft

Step-by-step explanation:

Think of the rectangle as two right triangles. Sides a and b on the triangle are 8ft and 6 ft.  That's 8 squared + 6 squared = c squared.  C is 10 ft.

Answer 2

The requried measure of the length of the walkway is 10 feet.

As mentioned in the question, The designer wants to put a gravel walkway that cuts diagonally through the park. The width is 8 ft and the height is 6 ft long.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

here,
As of the given condition apply Pythagoras' theorem,
length² = width² + height²
length = √6²+8²
length = √100
length = 10 feet

Thus, the requried measure of the length of the walkway is 10 feet.

Learn more about rectangles here:

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Related Questions

Find the missing factor.
6x2 + x - 1 = (2x + 1)(
)

Answers

Answer: (3x -1)
(3x -1) (2x+1)
= 6x^2 + 3x -2x -1
= 6x^2 + x -1

whats 300 times 400??
then add 500

Answers

Answer:

120,500

Step-by-step explanation:

300×400=120,000

120,000+500=120,500

300 × 400= 120000

120000+500= 120500

Hope it helps!

Find the surface area of the composite solid.

Answers

Answer:

190 ft^2

Step-by-step explanation:

Area of base of cube = 5x5x2

Area of sides of cube = 5x4x4

Area of triangle top = 5x6/2 then x4

Hope this helps! Good luck :)

Answer:

pretty sure its 49ft

Step-by-step explanation:

because 5x5 =25 and 6x4=24 and that equals 49ft

A card is drawn randomly from nine cards labeled 1 through 9. What is the
probability of picking a 5 or an even number.

Answers

The probability of picking a 5 or an even number is [tex]\dfrac{5}{9}[/tex].

Important information:

A card is drawn randomly from nine cards labeled 1 through 9.Probability:

One card of number 5 between 1 and 9.

Even cards between 1 and 9 are 2, 4, 6, 8.

Possible outcomes for picking a 5 or an even number is 4 + 1 = 5.

Total number of cards is 9.

The probability of picking a 5 or an even number is:

[tex]P=\dfrac{5}{9}[/tex]

Therefore, the probability of picking a 5 or an even number is [tex]\dfrac{5}{9}[/tex].

Find out more about 'Probability' here:

https://brainly.com/question/12995031

I need help. Graph -4x + 4y = 1

Answers

Answer:

Step-by-step explanation:

-3 is which type of number? Select all that apply.

whole number
natural number
integer
rational number

Answers

it is an integer and a rational number
The answer of the question is Whole number


1. Triangle JKL is dilated by a scale factor of 1.5 with
the origin as the center of dilation. Look at each
ordered pair. Does the ordered pair represent a
vertex of the image?
Select Yes or No for A-C.
A. (-3, -4.5) O Yes No
B. (1.5,-6) O Yes O No
C. (3,0) o Yes O No

Answers

Answer:

A. yes

B. yes

C. no

Step-by-step explanation:

The coordinates of each point are (x, y).

J (-2, -3)

K (0, 2)

L (1, -4)

After being scaled by 1.5 about the origin, the coordinates are (1.5x, 1.5y).

J (-3, -4.5)

K (0, 3)

L (1.5, -6)

Find the exact length of the third side

Answers

Answer:

c = 4.24

Step-by-step explanation:

again, you have a^2+b^2=c^2

this time, all you have to do is substitute.

3^2+3^2=c^2

9+9=c^2

18=c^2

take the square root of both sides, you get c=(18)^1/2 or about 4.24.

PLEASE HELP


and the other option is

180
270 clockwise
or 270 counterclockwise ​

Answers

90⁰ counterclockwise

What number is 86% of 50?

Answers

Answer:

43

Step-by-step explanation:

Answer:

Answer is 43.

Step-by-step explanation:

First off the "of" in the question implies that the two are multiplying but before you do that your expected to get 86 percent into decimal form which is .86 once that is done you can multiple that by 50 giving you 43

How many different 10-letter code words can be constructed from the English alphabet?

Answers

A permutation is an arrangement of a set of objects in a specific order. The number of permutations of 10 objects taken 10 at a time is given by 10!, which is equal to 3,628,800. Thus, there are 3,628,800 different 10-letter words that can be formed from the given letters.

BC=
im not sure on how i am supposed to do this

Answers

Answer:

BC=15.01

Step-by-step explanation:

Line segment BC can also be represented by '?'. To solve for BC, find the value of '?'

Use the tangent ratio:

[tex]tangentX=\frac{opposite}{adjacent}[/tex]

Because you need the value opposite the given angle and you are given the length of the side adjacent the given angle (hypotenuse does not count as the adjacent side, EVER (btw)). Let 65° be X and let x replace'?'.Insert the appropriate values:

[tex]tan65=\frac{x}{7}[/tex]

Solve by isolating x. Multiply 7 to both sides:

[tex]7*(tan65)=7*(\frac{x}{7})\\\\7*tan65=x\\\\x=7*tan65[/tex]

Insert this equation into a calculator:

[tex]x=15.0115...[/tex]

Round to the nearest hundredth:

[tex]x=15.01[/tex]

So, BC is 15.01

Finito.

Zak drank 21 cups of water every week. How many ounces of water did Zak
drink every week?​

Answers

Answer:

1 cup = 8 ounces

21 x 8 = 168

168 ounces

Step-by-step explanation:

Answer:

168

Step-by-step explanation:

1 cup equals 8 fluid ounces

Just multiply 21 by 8 and you get your answer

Factorise
4m - 8mn + 6m2

Answers

Answer: 2m(3m - 4n + 2)

Step-by-step explanation: Factor 4m - 8mn + 6m^2

                                                         6m^2 - 8mn + 4n

                                                         = 2m(3m - 4n + 2)

can someone please help I have 3 mins!!!!

Answers

1. Find the surface area

Side = 5 cm

Surface area = 6s²

= 6 × 5²

= 6 × 25

= 150 cm² (C)

2. Find the surface area

Side = 10 in

Surface area = 6s²

= 6 × 10²

= 6 × 100

= 600 in² (C)

Hope it helpful and useful :)

600 in
Would you like me to explain why?

Mrs. Henry bought books during the summer. She bought 5 books for $12.00, 6 books for $10.00, and 4 books for $8.00. What is the average (mean) amount she spent for each book?Answer options with 5 optionsA.$4.00 per bookB.$3.25 per bookC.$3.00 per bookD.$2.75 per bookE.$2.00 per book

Answers

Answer: $60.00 (5 books), $60.00 (6 books), $32.00 (4 books) is the data set. The answer, when used in a calculator, is 3.3777777777. From this result, I would say B or $3.25 per book.

The correct answer is option B) $2.75.

How to find mean?

The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.

By applying the formula

= 40/15

≅ 2.75

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words, it is the sum divided by the count.

Learn more about mean here: brainly.com/question/20118982

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what is 40% more of 5.50

Answers

Answer:

7.7

Step-by-step explanation:

Answer: $2.20 is more. The total is $7.70. But the question is what is 40% more, so $2.20.

Step-by-step explanation:


Which are samples that are appropriate to survey regarding how the city’s residents feel about building a new youth center? Select all that apply.
1. 10 names selected from the city phone book.
2. 100 residents who live near the proposed site for the youth center.
3. 100 tourists at the city park last Friday.
4. 50 children at each of the city’s four elementary schools.
5. 100 parents of children at each of the city’s four elementary schools.

Answers

Answer:

it is 2, 4, AND 5:)

Step-by-step explanation:

Can someone please find the volume of this shape and show work for how you did it??

Answers

Answer:

[tex]221.4m^{3}[/tex]

Step-by-step explanation:

To work out the volume of this shape you will first need to work out the area of the triangle. To work out the area of the triangle you would multiply the base of 12 by the height of 4.1, which gives you 49.2. You would then need to divide 49.2 by 2, which gives you 24.6. This is because the formula for the area of a triangle is the same as that of a square, however a triangle is half of a square with the same length and width. To work out the volume you would multiply the area of the triangle, which is 24.6 by the height of 9, which gives you 221.4[tex]m^{3}[/tex]

1) Multiply 12 by 4.1.

[tex]12*4.1=49.2[/tex]

2) Divide 49.2 by 2.

[tex]49.2/2=24.6[/tex]

3) Multiply 24.6 by 9.

[tex]24.6*9=221.4m^{3}[/tex]

What shape does not have a cross section in the shape of a circle

Answers

Answer:

triangle

Step-by-step explanation:

Please help. Its my last, please show at least some steps as I need to show work. Tysm

Answers

What’s your question :D

I seriously have no idea how to do these, plz help :(

Answers

Answer:

hi :)

Step-by-step explanation:

PLEASE HELPPP!!!!!

Write the first four terms of the recursive sequence: If a1=8 and an=a(n-1) -6
Is the recursive sequence arithmetic or geometric? Explain.

Answers

Answer:

8, 2, -4, -10.

Step-by-step explanation:

Each term (except the first one) is obtained by subtracting 6 from the previous one - that is what an = a(n -1) -6 means.

First term = a1 = 8 , so the second term = 8-6 = 2.

The first 4 terms are 8, 2, -4, -10.

This is an arithmetic sequence as there is a common difference of -6.

ms knight wants to throw a pizza party for all the 7th graders.in a random sample 13 ou of 20 7th graders preferred peperonie pizza the other 7 preferred cheeze. Based on the data out of 400 total 7th graders aproaxmently how many prefer peperoni

Answers

Final answer:

To estimate how many out of 400 seventh graders prefer pepperoni based on the sample, a proportion is used, resulting in approximately 260 students preferring pepperoni pizza.

Explanation:

Ms. Knight wants to throw a pizza party for the seventh graders, and in a random sample, 13 out of 20 seventh graders preferred pepperoni pizza. To estimate how many out of 400 seventh graders would prefer pepperoni, we use a proportion. The proportion of students who prefer pepperoni in the sample is 13/20. To find the number who would prefer pepperoni out of 400, we set up a cross-multiplication:

13/20 = x/400

Solving this equation for x (the number of 7th graders who prefer pepperoni out of 400) gives us:

20x = 13 * 40020x = 5200x = 5200 / 20x = 260

So, approximately 260 seventh graders would prefer pepperoni pizza out of 400 based on the sample data.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

133/3=         147/5 =

  44              29.7

        44-29.7

14 pies can be made.

133/4              147/2

33.25               73.5

        73.5-33.25

40 jars of apple sauce can be made

(I rounded my decimals)

Step-by-step explanation:

3x+4y=133

5x+2y=147

3x+4y=133

-10x-4y=-294

-7x=-161

x=23

3(23)+4y=133

69+4y=133

64=4y

y=16

23 pies and 16 jars of apple sauce

Craig bought 96 rolls or toilet paper for 48 dollars. What is the cost of a single

roll of toilet paper?

dollars

Check

Explain

HELP ME PLEASE

Answers

it is 50 cents per roll of toilet paper. hope this helps!

Final answer:

The cost of a single roll of toilet paper is $0.50, calculated by dividing the total cost of $48 by the number of rolls which is 96.

Explanation:

To find the cost of a single roll of toilet paper, we need to divide the total cost by the number of rolls. Craig bought 96 rolls of toilet paper for $48.

To calculate the cost per roll, we use the formula:

Cost per roll = Total cost / Number of rolls

So,

Cost per roll = $48 / 96 rolls

Cost per roll = $0.50 per roll

Therefore, the cost of a single roll of toilet paper is $0.50.

Use a formula to find the surface area of the cylinder . Use 3.14 for π.

Answers

Answer:

I am so sorry

Step-by-step explanation:

I dont really know what it is but I think it is 21.98 you do 7 times 3.14

Solve the equation
(16+ 12x) = 28 by first using the distributive property.
1
The equivalent equation is found by distributing the
to get
4
The first step is
The second step is
The answer is

Answers

Answer: 1

Step-by-step explanation:

(16+12x)=28

Since 4is a common factor in both terms we take out 4

4(4+3x)=28

Now take 4 to the other side

4+3x = 28/4 = 7

Similarly

3x = 7-4 =3

We end up with 3x=3

So X = 1

Plz help me with this

Answers

Your answer would be the second option, (-4,5).

We can find this by substituting in each point into the equation y < |x - 3| and seeing if it is true.

For the first one you get 1 < |2 - 1|. |2 - 1| = |-1| = 1, and 1 cannot be less than itself, so this is false.

For the second one you get 5 < |-4 - 3|. |-4 - 3| = |-7| = 7, and 5 is indeed less than 7, so this is correct.

I hope this helps!

Answer:

(0,3)

Step-by-step explanation:

Write the equation of the line that is parallel to the line and through the given point y=-2x+1 point (0,5)

Answers

Answer:

y = -2x+5

Step-by-step explanation:

y = -2x+1 is in the form y= mx+b where m is the slope and b is the y intercept

-2 is the slope

Parallel lines have the same slope so our new line will have the same slope

y = -2x+b

The point given is the y intercept (value when x is zero)

b = 5

y = -2x+5

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