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dlinn [17]
2 years ago
12

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.

can you please tell me how did you break line of segment using Pythagoras theorem? ASAP please Its due in 5 hours from now.
thanks
Mathematics
1 answer:
11111nata11111 [884]2 years ago
6 0

Answer:

200

Step-by-step explanation:

balancing it with 120 is 76 so this what you get

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Find the slope of the lines (-3,-1) and (-6,-10)
OleMash [197]

m = rise/run = (-10 - (-1))/(-6 - (-3)) = -9/-3 = 3

the slope of the line is equal to 3.

3 0
1 year ago
Tina must select and answer in any order three of seven
Leno4ka [110]

Answer:

Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Three questions from a set of 7. So

C_{7,3} = \frac{7!}{3!(7-4)!} = 35

Tina can select and answer the essay questions on her test in 35 ways.

6 0
3 years ago
What is the volume of a rectangular prism length 12ft height 14ft width 17ft
NeTakaya
Answer:  <span>2,856 ft³ .</span>
_____________________
Volume of a rectangle prism = BASE AREA * height ;

The "base area" is the area of the rectangle:

(Area = length  width; or, "L * w").
_______________________________________________
So, volume of a rectangular prism = L * w * h  ;  h = height ;
_________________________________________
  V = L * w * h  = 12 ft * 17 ft. * 14 ft =  2,856 ft³
_____________________________________________
6 0
3 years ago
Find the total weekly earnings for a waitress with a weekly salary of $257 plus a 4% commission on dinners, if the total worth o
ss7ja [257]
The waitress earns $425 weekly.

Work:
Use proportions.
x 4
------- = ------
4,200 100

4,200 x 4 = 16800
100 multiply x = 100x
16800 divided by 100 = 168
Commission = $168
Base salary = $257
$168 + $257 = $425
8 0
3 years ago
Joe has eaten 2/5 of a pizza. James has eaten 1/7. How many times more pizza has Joe eaten than James?
11Alexandr11 [23.1K]
First let's make the denominators of the fractions equal.
To do this, we have to find a number which both 5 and 7 divide into.
The smallest number that does this is 35.

2  --> Multiply the numerator by 7
--   
5  --> Multiply the denominator by 7 to get 35

= 14/35

1 --> Multiply the numerator by 5
--
7 --> Multiply the denominator by 5 to get 35

= 5/35

Joe has eaten 14/35 and James has eaten 5/35.
14 / 5 = 2.8

<u>Joe has eaten 2.8 (or 2 4/5) times more pizza than James.</u>




8 0
3 years ago
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