You want to put a fence around your large yard. There are two companies that you have found to do the work. They have each given you a quote for how much the work will cost. Of course, you want to find out which company will be the cheapest. The boundary of your yard is determined by five trees. The lines connecting them form the edge of your property. Shown below are the descriptions for the positions of the trees relative to your house.
TREE Position (relative to your house)
1 100 ft. east 2 40 ft east, 80 ft south 3 40 ft west, 120 ft south 4 90 ft west, 60 ft north 5 20 ft east, 110 ft north
STEP 1: On graph paper, mark the position of each of the trees on your land. Let each block of the graph paper represent a 10-foot by 10-foot square. Using a straightedge, connect Tree 1 to Tree 2, Tree 2 to Tree 3, Tree 3 to Tree 4, and so on.
STEP 2: Use the Pythagorean Theorem to find the length of each side of your property. Round
each answer to the nearest hundredth, if necessary.
STEP 3: Determine the perimeter of your property by adding up all of the sides.
STEP 4: Company 1 says that they will complete the job for $12 per foot of fencing. Company 2
says that they will charge you $250 for the first 100 feet of fencing and $15 for each additional foot. Determine the cost of fencing for both companies.

Answer:

The width of the patio is 11.29 feet while the length of the patio is 13.29 feet

Step-by-step explanation:

Mathematically, the area of the patio can be calculated by multiplying the length by the breadth of the patio

Thus we have ;

(x + 7)(x + 9) = 150

x^2 + 7x + 9x + 63 = 150

x^2 + 16x + 63 = 150

x^2 + 16x + 63 -150 = 0

x^2 + 16x -87 = 0

we can use the quadratic formula to solve this completely

x = {-b ± √(b^2 - 4ac)}/2a

where a = 1, b = 16 and c = -87

Plugging the values we have

x = {-16 ± √(16^2 - 4(1)(-87)}/2

x = {-16 ± √(256+ 348)}/2

x = {-16 ± √(604}/2

x = (-16 + 24.58)/2 or (-16-24.58)/2

x = 4.29 or -20.29

Choosing x = -20.29 will make our dimensions negative, so we ignore it and make do with the positive value only

Thus our dimensions are 4.29 + 7 and 4.29 + 9

This is equal to 11.29 feet and 13.29 feet respectively

Answer:

the mode is 76, the median is 83, and the mean is 85.2

Step-by-step explanation:

Mode is the number which appears most often in a set of numbers.

To find the Median, place the numbers in value order and find the middle number.

To find mean add up all the numbers, then divide by how many numbers there are

Answer:

how many numbers are there and if there is more of the same number then that will be ur probability

Step-by-step explanation:

Answer:

1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

Given:

24, 16, 23, 30, 18, 29

The ordered steps involved in Calculating the median of the data set given :

1.) put the numbers in order: This involves arranging the numbers in the dataset usually in ascending order :

16, 18,23,24,29,30

2.) Cross off high/low pairs: take out equal amount of input from both the left and right hand side. Here we have (23, 34) left

3) Add the leftover numbers: Since the values left is more than one, both values are summed, we have (23+24) = 47

4.) Divide the sum by 2 : Get the average of the two numbers to obtain the median value. Here the average is (23+24)/2 = 47/2 = 23.5

Answer:

A: 1. Put the numbers in order.

2. Cross off high/low pairs.

3. Add the leftover numbers.

4. Divide the sum by 2.

Step-by-step explanation:

edg2020

Answer:

Volume of the given cone is 1107.6 cubic feet.

Step-by-step explanation:

Formula to get the volume of a right circular cone is,

V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Now we put the values in the given formula

Volume = [tex]\frac{1}{3}\pi (8.6)^2(14.3)[/tex]  [ radius = [tex]\frac{17.2}{2}=8.6[/tex] ]

             = [tex]\frac{1057.628\pi }{3}[/tex]

             = 1107.55

             ≈ 1107.6 cubic feet

Therefore, volume of the given cone is 1107.6 cubic feet.

Answer:

146.6 ft3

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

-6(1+2 x)> 6(2x-1)+2x

1) divide by 6 : -(1+2 x)> (2x-1)+(1/3)x

2) multiply by 3 : -3(1+2x) >3(2x-1)+x

calculate : -3-6x  > 6x-3+x

now add 3 : -6x  > 6x+x

-6x  > 6x+x

add 6x :   0>12x+x    means : 13x <0

x <0/13    but 0/13 =0

conclusion : x <0

Answer:

A

Step-by-step explanation:

To calculate this, the first thing we need to do is to calculate the z-score

Mathematically,

z-score =( x - mean )/SD

according to the question, X = 55 inches, mean = 57 inches and SD = 4.6 inches

we plug these values into the equation

z-score =( 55-57)/4.6 = -2/4.6 = -0.4348

The required probability we are trying to calculate is;

P( z < -0.4348) or simply P(x<55)

To calculate this probability we use the standard score table

From the standard score table,

P( z < -0.4348) = 0.33186

In percentage this is 33.186%

To the nearest percentage, this is 33%

Answer:

We have equation of a line:

2y - 3x = 4 => y = (3/2)x + 4

The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and

a = 3/2

6a + b = 7

=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2

=> The equation of that line: y = (3/2)x - 2

Hope this helps!

:)

Answer:

616 nails

Step-by-step explanation:

No. of nail box bought  = 44

No. of nail in each box = 56.

Total no of nail in 44 box = No. of nail box bought * No. of nail in each box

                                          = 44 * 56 = 2,464

These nails were distributed in 4 houses equally.

Let no. of nail distributed in 1 houses be x.

Thus, total nails  distributed in 4 houses equally = 4x.

These 4x nail should be equal to Total no of nail in 44 box

4x = 2464

=> x = 2464/4 = 616

Thus, each house would get 616 nails.

Answer:

3/8 for red and yellow

1 for not brown

0 for purple

Step-by-step explanation:

Answer:

probability of red and yellow: [tex]\frac{3}{8}[/tex]

probability of not brown: [tex]\frac{8}{8}[/tex]

probability of purple: [tex]\frac{0}{8}[/tex]

Step-by-step explanation:

The denominator will always be 8 because that is the total number of things that could be spun. The numerator will change based on the question.

Answer

i can't see the image can you post it again.

Step-by-step explanation:

Answer:

29 + 64 =x which is 93 for question 2

Step-by-step explanation:

Answer:

254.469 inches^3

Step-by-step explanation:

v=(pi)(r)^2(h)

pi(3)^2(9)

pi(9)(9)

pi(81)

254.469

Answer: 30!

Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.

Answer:

f(x) = x² + 7x + 12

Step-by-step explanation:

Given that the zeros are x = - 3 and x = - 4, then the factors are

(x - (- 3)) and (x - (- 4)), that is (x + 3) and (x + 4)

f(x) is the product of the factors, that is

f(x) = (x + 3)(x + 4) ← expand using FOIL

f(x) = x² + 7x + 12

Answer:

1 i believe

Step-by-step explanation:

Answer:

9.8 Inch

Step-by-step explanation:

The distance from the upper left corner to the bottom right corner of the box is the longest diagonal of the box.

For a rectangular prism:

Length of the Longest diagonal [tex]=\sqrt{ l^2+h^2+w^2}[/tex]

Therefore:

Length of the pencil[tex]=\sqrt{ 8^2+4^2+4^2}[/tex]

[tex]=\sqrt{96}\\=9.8$ inch(correct to the nearest tenth of an inch)[/tex]

Answer: length of pencil is 9.8 inches.

Step-by-step explanation:

The pencil fits perfectly from the upper left corner to the bottom right corner of the box. This is the diagonal of the box(not the diagonal of a face). To determine the length of the pencil, we would determine the length of the diagonal of the box. The formula formula is

d = √(l² + w² + h²)

Where

d = diagonal = length of pencil

w = width = 4 inches

h = height = 4 inches

l = length = 8 inches

Therefore,

d = √(4² + 4² + 8²) = √96

d = 9.8 inches

Answer:

x = 2.5y

Step-by-step explanation:

If a cow can give 5 gallons of milk after eating 2 pounds of grass.

Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.

Hence,

5y = 2x

We will simplify it to get what x equal to y by dividing 2 on both side we find,

x = 2.5y

x is equal to 2.5 y

By eating 1 pound of grass cow can give 2.5 gallons of milk.

Answer:

26xy

Step-by-step explanation:

#THANKMELATER

Answer:

This predicted value is that it is unrealistically high

Step-by-step explanation:

According to the data given in order to calculate the predicted value we would have to make the following calculation of the predicted value and then conclude.

predicted value=26.693 + 0.055*3000

predicted value=191.693

By having the result of the predicted value we can conclude that what is wrong about this predicted value is that it is unrealistically high.

Answer:

1/10

Step-by-step explanation:

10 balls in the bag, there is one yellow

Answer:

answer 1/10

Step-by-step explanation:

Answer:

2x^3-6x^2-14x+24

Step-by-step explanation:

Explanation:

Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.

Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.

Answer:

The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.

Would really appreciate a brainliest! Hope this helped! =)

Answer: B, C, E

Step-by-step explanation: dude trust me c'mon

Answer:

D) The coefficient

Explanation:

The coefficient is the number placed before the variable in the expression.

In 3x x is the variable and 3 is the number placed before it making it the coefficient.

Answer:

Se debe fabricar 150 litros para llenar 1.000 frascos

Step-by-step explanation:

Segun los datos en el ejercicio un laboratorio comercializa perfume en frascos que tienen una capacidad de 3/20 de litros.

Para saber cuantos litros de perfume se han de fabricar para llenar 1.000 frascos hay que multiplicar la capacidad de los frascos por el número de frascos con el siguiente calculo:

litros de perfume se han de fabricar para llenar 1.000 frascos=(1,000/20) x 3

litros de perfume=50 x3

litros de perfume=150

Se debe fabricar 150 litros para llenar 1.000 frascos

Answer:

There are 176 women in the company.

Step-by-step explanation:

Let number of men are 5x and number of women are 8x.

Total number of employees in the company are 286.

But according to given condition, total no of employees are :

[tex]5x+8x = 286\\\\13x=286\\\\x=\dfrac{286}{13}\\\\x=22[/tex]

Total no of women are 8x. It means [tex]22\times 8=176[/tex]. Hence, there are 176 women in the company.

Answer:

Angle 1 or Angle 3

Step-by-step explanation:

They are the only two that are immediately next to angle 2

Answer:

angle 1

Step-by-step explanation:

8 1/4 should be the answer

Answer:

8 1/4

Step-by-step explanation:

33/4 simplified is 8 1/4

Answer:

The range is 12

Step-by-step explanation:

the range is the biggest number minus the smallest

the biggest number is 33

the smallest number is 21

so 33-21=12 so

The range is 12

Answer: 12

Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 33 - 21 or 12.

So the range of this data set is 12.

Answer:

30

Step-by-step explanation:

Since there are 5 possible outcomes for the cards, and 6 possible outcomes for the die, there are a total of 5*6=30 outcomes possible. Hope this helps!