Answer:
The perimeter of triangle ΔABC is approximately;
(A) 20.0
Step-by-step explanation:
In ΔABC, the coordinates of the vertices are given as follows;
A(-4, 1), B(-2, 3), C(3, -4)
The length, 'l', of the sides of the triangle with known 'x', am]nd 'y' coordinates are given as follows;
Therefore, we have;
The length of segment = √((3 - 1)² + (-2 - (-4))²) = 2·√2 ≈ 2.83
The length of segment = √(((-4) - 3)² + (3 - (-2))²) = √74 ≈ 8.6
The length of segment = √(((-4) - 1)² + (3 - (-4))²) = √74 ≈ 8.6
The perimeter of a geometric shape is equal to the sum of the length of sides of the figure
The perimeter of triangle ΔABC = (The length of segment ) + (The length of segment ) + (The length of segment )
∴ The perimeter of triangle ΔABC = 2·√2 + √74 + √74 ≈ 20.0.
Answer:
Step-by-step explanation:
Given the simultaneous equations
Subtract the equations
∵
Similarly,
Answer:
Dependent Event
Step-by-step explanation:
Assume that are 10 balls, such that:
If the balls are replaced after taken, the probability is:
This is referred to as independent event; because each selection do not affect the next or previous selection
However, if the balls are not replaced, the probability is:
We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.
This is referred to as independent event; because a selection affects the next selection
Answer:
4. $130.50
Step-by-step explanation:
Sorry, but I only know for no.4 which is $130.50.
Explanation: 18 hours is 20 percent more than 15 hours.
So all we have to do is multiply 1.2 to 108.75, since multiplying 1.2 is the equivalent to 20 percent.
Which then is why I get the answer of $130.50.
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The slope of the line containing the points (2,3) and (9,7) is 4/7.
Slope Formula: y₂ - y₁ 7 - 3 4
------------- = ----------- = -------
x₂ - x₁ 9 - 2 7
4/7 can't be reduced any further, so that's your final answer.