60%. That is the probability.
Answer:
The answer is 527.5km^3 .
Step-by-step explanation:
The formula for cylinders is πr2h. (pie times twice the height)
3.14(12)(2)(7) = 527.52
Hey there! I'm happy to help!
To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!
First, we'll add our two x-values.
-6-0= -6
We square it, which means to multiply it by itself.
-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)
Now, we do the same with the y-values.
-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)
We square it.
-1(-1)=1
Now, we add these x and y value differences.
36+1=37
Now, we find the square root using a calculator.
√37≈6.08
Have a wonderful day!
Explanation:
Starting with the first option, the square root of 12 and 8 isn’t a perfect square so it definitely can’t be reduced to 3/2.
It is the same for the second option as well.
Third option :
Root of 36 is 6
Root of 16 is 4
6/4 = 3/2
Fourth option:
Root of 81 is 9
Root of 36 is 6
9/6 = 3/2
Answer:
Therefore, the third and fourth options are the correct choices.
Hope this helped!
Answer: a = 4
Step-by-step explanation: Area of a triangle is calculated as:
.
The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, distance will be:
b = 3 - (-2)
b = 5
Area of the triangle is 10. So constant a is

5a = 10.2
a = 4
The constant a of the function y = a(x-3)(x+2) is 4.