Answer:
<u>The probability that a randomly selected point within the circle falls in the red shaded area is 1/3 or 0.33.</u>
Step-by-step explanation:
1. Let's review all the information provided for answering correctly the question:
Degrees of the red shaded area = 60° * 2 = 120°
Degrees of the circle = 360°
2. Let's find out the probability that a randomly selected point within the circle falls in the red shaded area.
Let's recall that any full circle has 360 degrees and the shaded area measures 120 degrees.
Thus,
Probability that a randomly selected point within the circle falls in the red shaded area = 120/360
<u>Probability that a randomly selected point within the circle falls in the red shaded area = 1/3 = 0.33</u>
<h2>
Greetings!</h2>
Answer:
Area is 147.74
Step-by-step explanation:
You need to recall that the equation for the area of a rectangle is:
Length * Width = area
So 16 3/5 * 8 9/10 = area
Rearrange so the whole numbers are being multiplied and the fractions are too:
We need to make the denominator same, this can be done by simply multiplying 3/5 by 2:
3/5 * 2 = 6/10
Now the two numbers can be written as 16.6 and 8.9.
Multiply both numbers by 10:
166 * 89 = 14774
Then divide this by 100 (two lots of division by 10)
14774 ÷ 1000 = 147.74
So the area of the rectangle is 147.74!
<h2>Hope this helps!</h2>
Since we know that m and n are lines, we can put these points into equations (slope-intercept form would be easiest), and then set the equations equal to each other to see what their x coordinate is when they intersect.
For (6,1) and (2,-3):
slope = (y2 - y1) / (x2 - x1) = (-3 - 1) / (2 - 6) = -4 / -4 = 1
plugging this into slope-intercept form:
y = mx + b
1 = 1 x 6 + b
1 = 6 + b
b = -5
So our equation in slope intercept form is:
y = x -5
Taking the same steps for line n, we find that it's slope-intercept form is:
y = -3x + 9
If we set these two equations equal to each other, we can find the x-coordinate of the point of intersection:
-3x + 9 = x - 5
14 = 4x
x = 3.5
Plugging 3.5 back into to one of our original equations will give us the y coordinate of intersection:
y = x - 5
y = 3.5 - 5 = -1.5
Therefore, the point of intersection is (3.5, -1.5)