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Ostrovityanka [42]
3 years ago
9

2. Latoya is building a miniature watershed model out of plaster. She wants to see where polluted surface water from a nearby fa

ctory flows when it rains. Which tool will Latoya need to make sure all of the hills, valleys, and slopes in her model are the right sizes? a resource map a topographic map a political map
Mathematics
2 answers:
ddd [48]3 years ago
5 0
A map of the area and tools that would help him do it.
mojhsa [17]3 years ago
5 0
A topographic map detailing the landscape features, sizes, and elevations. Resource map does not work because resource maps detail the purpose of the area through colours; resource maps would detail the agricultural plains by using yellow.
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Help anyone can help me do 16 and 17 question,I will mark brainlest.The no 16 question is find the area of the shaded region​
yanalaym [24]

Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

<u>Concepts:</u>

Area of Square = s²

  • s = side

Area of Triangle = bh/2

  • b = base
  • h = height

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

<u>Solve:</u>

Question # 16

<em>Step One: Find the total area of two squares</em>

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

<em>Step Two: Find the area of the blank triangle</em>

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

<em>Step Three: Subtract the area of the blank triangle from the total area</em>

Total area = 29

Area of Square = 7

29 - 7 = 22

-----------------------------------------------------------

Question # 17

<em>Step One: Find the length of PT</em>

Given:

  • PR = 4 cm
  • RT = 6 cm

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

<em>Step Two: Find the length of S to PT perpendicularly</em>

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Three: Find the area of ΔPST</em>

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Four: Find the length of Q to PT perpendicularly</em>

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Five: Find the area of ΔPQT</em>

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Six: Combine area of two triangles to find the total area</em>

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
A girl obtained 32.8 marks in nepali and failed by 7.2 marks. What was the pass marks of the subject?
adoni [48]

Answer:

40 marks was the pass marks of the subject.

Step-by-step explanation:

32.8 + 7.2 = 40 marks         { basic addition theory based }

8 0
2 years ago
Square root of 5u+2 = square root of 3u+14
alina1380 [7]
Sqrt(5u + 2) = sqrt(3u + 14)
Square both sides to clear the square root.
5u + 2 = 3u + 14
subtract 3u from both siides
2u + 2 = 14
subtract 2 from both sides
2u = 12
divide both sides by 2
u = 6
When you square a square root you MUST check the solution.
sqrt(5*6 + 2) = sqrt(3*6 + 14)
sqrt(32) = sqrt(32)

8 0
3 years ago
For the function<br> g(x) = 1/3x-2, find g(3a – 6)
Keith_Richards [23]

Answer:

g(3a – 6) = a - 4

Step-by-step explanation:

g(x) = 1/3x - 2

g(3a – 6) = 1/3(3a – 6) - 2

= a - 2 - 2

= a - 4

7 0
3 years ago
Read 2 more answers
The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 &gt; 40. Which
Brut [27]

Answer:

3x > 37

x > 12.333

Thus, 13 and 15 satisfy

Step-by-step explanation:

hope this helps

3 0
3 years ago
Read 2 more answers
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