Answer:
The probability of a dart hitting the target in the yellow zone is 0.16 or 16%
.
Step-by-step explanation:
Given:
Four concentric circles.
Radius of center circle, r = 4/2 = 2 cm
Radius of the yellow circle, R = 2+4 =6 cm
We have to find the probability that it will hit a point in the yellow region.
Formula to be used:
Probability (P) :
⇒
So,
Lets find the area of the yellow zone;
⇒ Area (yellow zone), = Area of yellow circle - Area of the black circle
⇒
⇒
⇒
⇒
⇒
⇒ cm^2
Now,
⇒ Area of the entire target, A1:
⇒
⇒ <em> ...R1=14 cm</em>
⇒ cm^2
Probability:
⇒
⇒
⇒
⇒
In terms of percentage it is
The probability of a dart hitting the target in the yellow zone is 0.16 or 16%
.
The point is inside the circle
You do this by making a factor tree
Answer:
The length of the sides are;
2.3, 2.3 and 1
Step-by-step explanation:
If the equal sides are 3x-0.4 and x + 1.4
This means these two are equal to one another
Thus;
3x-0.4 = x + 1.4
3x-x = 1.4 + 0.4
2x = 1.8
x = 1.8/2
x = 0.9
So the length of the sides are as follows;
3x - 0.4
3(0.9)-0.4 = 2.3
x + 1.4
= 0.9 + 1.4 = 2.3
And lastly
x + 0.1
0.9 + 0.1 = 1