1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
3 years ago
11

Jonas is planning to use part of the land behind his house to have a soccer field. Jonas plots his soccer field plan on a grid.

A side of each square on the grid is equal to two meters. Two of the vertices of the soccer field are at (4, 8) and (10, 4). If the soccer field is a rectangle, what are the coordinates of the other two vertices? Jonas is planning to build a fence around the soccer field. How many meters of fencing does Jonas need to put around the soccer field? How much of the land behind his house is located inside the fence? Show all your mathematical thinking. 4,8 10,8 4,4 10,4
Mathematics
1 answer:
Helga [31]3 years ago
6 0

Answer:

The other two vertices have coordinates (4,4) and (10,8). He will need 40 meters of fence for the soccer field. And inside the fence there are 48 square meters, which is a 24% of the total surface of the land behind his house, assuming it is a square of 10 meters of lengt and 10 meters of width.

Step-by-step explanation:

Since the coordinates must form a rectange, then, the other two location must be (4,4) and (10,8) (each coordinate must have something in common with the coordinates of the 2 locations we were given).

The sides of the fence have length 8-4 = 4, and 10-4 = 6. Thus, the perimeter of the fence is 2*4+2*6 = 20 units. Since each unit is 2 meters, then that means that Jonas will need 40 meters of fence.

The area inside the fence is 6*4 = 24 square units, therefore it is 48 square meters, and assuming that the grid goes from 0 to 10 in both coordinates, the area of the land behind his house is 10*10 = 100 square units, thus it is 200 square meters. He is using 48/200*100  = 24% of the land for the soccer field.

You might be interested in
Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was
barxatty [35]
Hello! To solve this problem, we can write and solve an equation. Set it up like this:

6 + 3m = 24

This is because 6 is the one-time fixed price and you pay $3 per mile. Subtract 6 from both sides in order to get 3m = 18. Now, divide each side by 3 to isolate the “m”. 18/3 is 6. There. m = 6. Mike traveled 6 miles by taxi.
3 0
3 years ago
Read 2 more answers
How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?
antiseptic1488 [7]
We can use the Sine Law:a / sin A = b / sin B2 / sin 75° = 3 / sin B2 / 0.966 = 3 / sin B  ( after that we will cross multiply )
2 sin B = 3 · 0.9662 sin B = 2.898sin B = 2.898 : 2sin B = 1.499 > 1  ( it is not possible )Answer:  A ) No triangles can be formed.


8 0
3 years ago
In a very survey of 60 student,60 study botany 50 study zoology and 48 studied biology.if 38 study all,how many study zoology al
BabaBlast [244]

Answer:

12 study zoology alone and 0 study none

6 0
3 years ago
Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
Factor the expression using the GCF.<br> 60 – 36 =
Ivanshal [37]

Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

 

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

 

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

 

The two number have the factors, 2, 2, and 3 in common.

 

The greatest common factor is then: 2 * 2 * 3, or 12.

 

The expression can be factored as:  12 ( 5 - 3)

6 0
3 years ago
Other questions:
  • Pure tin was mixed with a 4% tin alloy to produce an alloy that was 16% tin. How much pure tin and how much 4% alloy were used t
    13·1 answer
  • The answer the book gave was (1/2, -2)
    14·1 answer
  • Whoever gets this right gets brainlyess answer and it's worth 10 points
    6·1 answer
  • How do you simply -4•3x
    13·1 answer
  • What is t×3/4 for t equals 8/9
    5·2 answers
  • 7.) Plumbers earn $160 a day and plumbers' helpers earn $100 a day. Twenty
    12·1 answer
  • The area of the square is 36 cm. 2 what is the formula that shows the length or side b​
    6·2 answers
  • What is the value of x?<br> o 14<br> o 15<br> 0 16<br> 0 17
    9·1 answer
  • There are 30 stuffed animals in a gift gallery.
    15·2 answers
  • A simple random sample of size individuals who are currently employed is asked if they work at home at least once per week. Of t
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!