Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Neighbor A:

Neighbor B:

Neighbor C:

Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.

Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?

Answer:

IK = 13.5

Step-by-step explanation:

A^2 + B^2 = C^2

(8.4)^2 + B^2 = (15.9)^2

70.56 + B^2 = 252.81

B^2 = 182.25

B =13.49925... ≈ 13.5 = IK

Answer:

Step-by-step explanation:

The amount of an investment P compounded n times per year at annual rate r for t years is ...

  A = P(1 +r/n)^(nt)

This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.

__

Continuously compounded interest results in an account balance computed using the formula ...

  A = Pe^(rt) . . . . where the variables have the same definitions as above.

For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...

  A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars

[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]

Answer:

30

[tex]b = \sqrt{ {c}^{2} - {a}^{ {2} } }[/tex]

[tex]b = \sqrt{ {34}^{2} - {16}^{2} } [/tex]

[tex]b = \sqrt{1156 - 256} [/tex]

[tex]b = \sqrt{900} [/tex]

[tex]b = 30[/tex]

The slope is m = 3.5; and the y-intercept is b = -6

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

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

Where m is the slope

Picking the points (2,1) and (0,-6).

∴[tex]x_{1} = 2[/tex]

[tex]x_{2} = 0[/tex]

[tex]y_{1}=1[/tex]

[tex]y_{2}=-6[/tex]

Then, the slope of the line in the graph is

[tex]m = \frac{-6-1}{0-2}[/tex]

[tex]m =\frac{-7}{-2}[/tex]

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

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Here is the constructed frequency distribution table:

Number of visits   Number of students

0 - 1                            5

2 - 3                             9

4 - 5                           11

6 - 7                            5

8 - 9                            8

10 - 11                         2

A frequency table is used to arrange a large amount of data using their frequency. The class width is the difference between the upper boundary and the lower boundary.

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Answer: 7

Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7

See the diagram below.

The 7/8 and 1/8 combine to 8/8 = 1. So we add an extra pie to the original two full pies to get 3 total.

Answer:

This is my notes

Step-by-step explanation:

The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A, B, and C lie on the circumference of the circle.

And, X, A and Y lie on a tangent to the circle.

Now, We get;

⇒ ∠XAC + ∠CAB + ∠BAY = 180°

⇒ 63° + ∠CAB + 69° = 180°

⇒ ∠CAB = 180 - 132

⇒ ∠CAB = 48°

Hence, We get;

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

Thus, The value of angles are,

⇒ ∠ACB = 48°

⇒ ∠CBA = 48°

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Answer:

15.85

Explanation:

Po = D1 / (k-g)

Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate

Po = (5.10 (1-0.13)) / (0.15-(-0.13))

Po= 15.85

Answer:

B and D

Step-by-step explanation:

x² - 25 = 0

Add 25 to both sides:

⇒ x² -25 + 25 = 0 + 25

⇒ x² = 25

Square root both sides:

⇒ √x² = √25

⇒ x = ±5

Therefore:

x = 5,  x = -5

So B and D are the solutions

Step-by-step explanation:

1. 8:05

2. 12:45

3. 10:54

4. 1:20

5. 8:35

6. 2:50

7. 5:18

8. 7:44

9. 1:30

10. .12:12

Answer:

ask MisterBrainly for help

Answer:

C

Step-by-step explanation:

i just guessed but it was correct

Answer:

 B, or 4

Step-by-step explanation:

Since the line in the middle of the box plot shows the median it tells us that the median is 4

Answer:

4

Step-by-step explanation:

because it is the middle number

Answer:

Process

Step-by-step explanation:

I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!

Scale factor is 5

So

Answer:

Points of kite JKLM:

J = (1, -2)

K = (2, -1)

L = (1, 2)

M = (0, -1)

To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.

So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite.  Extend the lines so that they are each 5 times the original lengths.  These are the dilated points

Points of kite dilated by sf 5 (shown in blue on the attached diagram):

J' = (5, -10)

K' = (10, -5)

L' = (5, 10)

M' = (0, -5)

Answer,:

Answer and Explanation: 1

1.

Calculation for operating loss is shown below:

Break-even point in dollars = Cost + Operating expenses

Break-even point in dollars = $208.40 + (36% * $208.40)

Break-even point in dollars = $208.40 + $ 75.024

Break-even point in dollars = $283.424

Reduced price = Original price - (Original price * Mark down)

Reduced price = $292.60 - ($292.60 * 40%)

Reduced price = $292.60 - $117.04

Reduced price = $175.56

Operating loss = Break-even point in dollars - Reduced price

Operating loss = $283.424 - $175.56

Operating loss = $107.864

2.

Calculation of absolute loss is shown below:

Absolute loss = Cost - Reduced price

Absolute loss = $208.40 - $175.56

Absolute loss = $32.84

brain less plss

THIS ANSWER IS CORRECT

Answer:

418 cm2

Step-by-step explanation:

Divide the figure into a square and a triangle. Find the area of each and add. Make sure you do not combine them, and do one at a time.

s2 = area of square

192 = 361 cm

BH= area of triangle

(6)(19) = 57 cm2

361 + 57 = 418 cm

Answer:

c= 418cm2

Step-by-step explanation:

good bye now human

Answer:

157 if youre going by 3.14

157.08 if youre going by π

Step-by-step explanation:

you want to find the circumference

circumference is 2πr

the radius id 50/2=25, because radius is half of the diameter (the diameter is the length across a circle

2 * 3.141 * 25 = 157

The length of the path that goes around the outside of the circle stands at 157.08 meters.

A circle stands as a curve traced out by a point moving in a plane so that its distance from a given point exists constant; alternatively, it stands for the shape created by all points in a plane that exists at a set distance from a given point, the center.

Given that the boardwalk divides the circle area into two halves, and exists straight with a length of 50 meters. Thus, the straight Boardwalk exists within the length of the diameter of the circle.

Now, the perimeter of the circle exists the length of the path that goes around the outside.

Thus, the perimeter of the circle stands,

Perimeter = π × Diameter

        = π × 50 meters

        = 157.07963 meters ≈ 157.08 meters

Thus, the length of the path that goes around the outside of the circle exists 157.08 meters.

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A, B and C working together will finish same piece of work in 10 days

A can do a piece of work in 20 days. That is A is doing the work at a rate of  1 / 20. Therefore

B = 1 / 30

C = 1 / 60

A, B and C working togehter their rate will be added together =

A + B + C =  1 / 20 + 1 / 30 + 1 / 60 = 1 / 10

so they can work together to finish same piece of work in 10 days

Step-by-step explanation:

Area of one side of the shed

5*4=20

she painted 4 sides so 20*4 =80

Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,

[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]

we need to find the square root of 18.75 to find the height of the triangle which is

[tex] \sqrt{18.75} = 4.330127019[/tex]

that is the height

(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8

[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]

this number gives us 43.30127019

we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

A = 960 cm²

Answer:

-5f

Step-by-step explanation:

Answer:

f(- 5) = 57

Step-by-step explanation:

substitute x = - 5 into f(x) , that is

f(- 5) = 3(- 5)² + 3(- 5) - 3

        = 3(25) - 15 - 3

       = 75 - 18

       = 57

Answer:

I would reccomend the first option the path costs $6 per foot

The answer to this question is in the picture which is 0.56% to 2dp

Answer:

5.60%

Step-by-step explanation:

We can use the formula for simple interest to solve this problem. The formula is:

[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]

Where:

If $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:

[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]

In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:

[tex]1177.12=\frac{4204*5*r}{100}[/tex]

Doing Criss cross multiplication

[tex]r=\frac{1177.12*100}{4204*5}[/tex]

r=5.60 %

To two decimal places, the interest rate r is 5.60 %.