Answer:
b = sqrt(57)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + b^2 = 11^2
64+ b^2 = 121
Subtract 64
b^2 = 121-64
b^2 =57
Take the square root of each side
b = sqrt(57)
Can you provide an image of the frequency table?
Answer:

Step-by-step explanation:
First, let us find the gradient of AB:
Gradient of AB = 
= 
We also need to know that The <em>product of gradients which are perpendicular to each other is -1</em>. Using this idea, we can find the gradient of the perpendicular bisector:
(Gradient of perpendicular bisector)(
) = -1
Gradient of perpendicular bisector = 
Now, we need to know at which coordinates the perpendicular bisector intersects AB. <em>A perpendicular bisector bisects a line to two equal parts</em>. Hence the <em>coordinates of the intersection point is the midpoint of AB</em>. Thus,
Coordinates of intersection = (
,
)
= ( 2, 1 )
Now, we can construct our equation. The equation of a line can be formed using the formula
where
is the gradient and the line passes through
. Hence by substituting the values, we get:


<u />
There are 5 + 7 = 12 triangles or hexagons. So the probability is 12/15 = 4/5. As a percent, it would be 80%.
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Hope this helps!
==jding713==
Answer:
138
Step-by-step explanation:
120 x .15 = 18
120 + 18 = 138