Answer:
slope = 2/5
Step-by-step explanation:
The rise is 2
The run is 5
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
<h3>Right angled triangle</h3>
A right angles triangle is a triangle that has 3 sides and angles with one of its angles to be 90 degrees.
For the given coordinates to be a right angled triangle, one of the line must be perpendicular to the other and for two lines to be perpendicular, the product of its slope must be -1.
Find the slopes of AB, BC and AC
Slope of AB = 5-11/1-6
Slope of AB = -6/-5 = 6/5
Slope of BC = 0-5/7-1
Slope of BC = -5/6
Slope of AC = 0-11/7-6
Slope of AC = -11/1. = -11
Take the product of AB and BC
AB * BC = 6/5 * -5/6
AB * BC = -1
Since the product of AB and BC is -1, hence the ABC is a right triangle and the length AC is the hypotenuse
Learn more on right angle triangle here: brainly.com/question/22790996
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Answer:
D) 1188 in.^2
Step-by-step explanation:
33×36 is 1188, the triangle on the side doesn't matter because it can be used to make the rectangle a whole rectangle, which means that the only important numbers are 33 and 36 multiplied to find the area, which is 1188^2.
The total to this would be $1,389.93 because $1,299 + 7% = $1,389.93
Answer:
0.9958
Step-by-step explanation:
P(being correct) = 1/4 = 0.25
Hence, p = 0.25
n = 19
P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
However, to save computation time, we could use a calculator :
Using a calculator,
P(x ≥ 1) = 0.99577
P(x ≥ 1) = 0.9958
