Answer:
There are 24 total outcomes.
Step-by-step explanation:
First, calculate the probabilities. Assuming this die is six-sided.
Probabilty of rolling a number on the wheel: 1/4, 4 total possibilities.
Probability of rolling a number on the die: 1/6, 6 total possibilities.
(1/4) * (1/6) = (1/24)
This shows 24 total outcomes. For extra understanding, this is shown below.
Spinner 2, Die 1
Spinner 2, Die 2
Spinner 2, Die 3
Spinner 2, Die 4
Spinner 2, Die 5
Spinner 2, Die 6
Repeat this for spinner 3, 4, and 5. This shows 6 * 4 or 24 total outcomes.
First, let's get the area of the entire triangle since we'll need it later. The area of a triangle is A=1/2*b*h
We can find the height with the Pythagorean theorem by splitting the triangle in half.
3^2+b^2=6^2
9+b^2=36
b^2=27
b=√27
Then we can find the area:
A=1/2*6*√27
A=3√27 or =9√3 or 15.59
Now we can find the area of each region in the triangle other than the shaded region because they are all portions of a circle.
Each region has an angle of 60 because this is an equilateral triangle. Therefore the area of each region other than the shaded region will be 1/6 the area of a circle with a radius of 3 because a full circle is 360 degrees.
A=pi*r^2/6
A=pi*9/6
A=4.71
So three of these regions would have an area of 14.14
We do the area of the triangle minus the area of these regions to get the area of the shaded region
15.59-14.14 = 1.45
Hope this helps!
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Answer:
0
Step-by-step explanation: 2x+8=2x+6 --> 8=6
8 cant be equal to 6 so this equation is wrong and has no solution.
Answer:
The vertex of the graph is located at the point (3,6)
Step-by-step explanation:
Here, we want to know where the vertex of the equation if plotted will be
To get this, what we have to do is to equate the expression that we have in the absolute value to zero
After this, we then proceed to solve for the value of x
We have this as;
x -3 = 0
hence;
x = 0 + 3
x = 3
to get the y-value of the vertex, we look at the value at the side of the absolute value
This value is 6 and thus, the y-value of the vertex point is 6
So the coordinates of the vertex is (3,6)
