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azamat
3 years ago
8

Find the area of the triangle whose vertices are (2, 3); (-1, 0); (2, -4)...

Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

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Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be
ira [324]

The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.

From the Pythagoras theorem:

Perpendicular(P) = 32 ft

Base(B) = 20 ft

H = √(32²+20²)

H = √1424

H = 37.7 ft

Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

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5 0
2 years ago
What is the area of this??? i put it at 14 points!
Basile [38]

Answer:

99in squared

Step-by-step explanation:

Bottom square is 3 by 3, middle is 9 by 6, and trapezoid is 9 by 4.

3*3+9*6+9*4 is 99

Hope this helps plz mark brainliest if correct :D

3 0
2 years ago
A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers
Schach [20]

Answer:

55.38 min

Step-by-step explanation:

A car travels,

182 km ⇒ 4 hours

And we have to find the time that it takes to travel 42 km .

Lets make a equation.

Let the unknown time be x

182 km ⇒ 4 hours

42 km ⇒ x

To make easy let's km in to meters and hours in to minutes

182000 m ⇒ 240 min

42000m ⇒ x

Now use cross multiplication.

182000x=240*42000\\

182000x=10080000

\frac{182000x}{182000} =\frac{1008000}{182000}

x =55.38min

Hope this helps you.

Let me know if you have any other questions :-)

6 0
2 years ago
50 POINTS!
ehidna [41]

Answer:

  • A. the distance between points W and X

Step-by-step explanation:

<u><em>Looking for the distance of 5 units</em></u>

A. the distance between points W and X

  • -3 - (-8) = -3 + 8 = 5
  • Correct

B. the distance between points X and Y

  • 1 - (-3) = 1 + 3 = 4 < 5
  • Incorrect

C. the distance between points X and Z

  • 5 - (-3) = 5 + 3 = 8 > 5
  • Incorrect

D. the distance between points Y and Z

  • 5 - 1 = 4 < 5
  • Incorrect

7 0
3 years ago
what is thirty-two and six hundred five thousandths,greater than,less than,or equal to 3×10+2×1+7×110 ?
Zepler [3.9K]

32.605

3x10+2x1+7x110= 802.

your answer is less than

4 0
3 years ago
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