The area of the triangle with the coordinate of the vertice will be 6 square units.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
Triangle RST, with vertices R(5,-9), S(9,-5), and T(7,-4), is drawn on the coordinate grid below.
Then the area of the triangle will be
Area = 1/2 [(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]
Area = 1/2 [{5 x -5 + 9 x -4 + 7 x -9} - {-9 x 9 + -5 x 7 + -4 x 5}]
Area = 1/2 [{-124} - {-136}]
Area = 1/2 [ -124 + 136]
Area = 1/2 x 12
Area = 6 square units
More about the triangle link is given below.
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Answer:
a = 19.6 (rounded to the nearest tenth)
Step-by-step explanation:
a^2 + b^2 = c^2
Hypotenuse - 35 m, Legs - 29 m, x
a^2 +29^2 = 35^2
a^2 + 841 = 1225
Subtract 841 from both sides
a^2 = 384
Square root both sides
√a^2 = √384
a = 19.595
Answer: A
Step-by-step explanation:
Have you found the answer to this??
The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
<h3>How to check that the series meets the requirements?</h3>
To verify that the series meets the requirements, we must establish what the requirements are:
- Every 3 consecutive numbers must add up to 19.
- In total there must be 14 numbers.
- The total sum of all the numbers must be 77.
To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
- 5 + 6 + 8 = 19
- 9 + 4 + 6 = 19
- 7 + 3 + 9 = 19
- 2 + 8 + 9 = 19
In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
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