Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
A. Is the answer
Hope this helped :)
Answer:
c
Step-by-step explanation:
Here we know that the initial velocity of the car is given by:
And the final velocity of the car is given by:
It took 3 seconds to attain the final velocity, so we have 
Therefore, the acceleration can be obtained by:
Plugging the values of the initial, final velocity and the time, we get:
So the acceleration of the car is given by:
Now we need to find the direction of the average acceleration of the car:
Here, x and y are the coefficients of the 'x' and 'y' components of the vector:
Therefore, the direction of the average acceleration of the car is 
.
Answer:
The correct answer is 14 yards.
Step-by-step explanation:
Area can be described as a measuring unit to measure the space in any flat surface. The square is a flat surface comprising of four equal sides. Area of a square would be the measure of the length of each size.
As per the question, the area of lawn is 196 yards and it is square shaped. This means that the length of each side would be would be 14 yards.
The area will be calculated by taking the square root of one of the equal sides. The square root of 14 is 196. hence, the correct answer is 14 yards.
- Sophia
