Answer:
ok
Step-by-step explanation:
The formula for the area of a circle is r² x π.
-Since we know the diameter of the circle, we can divide by 2 to find the radius of the circle.
10/2 = 5
-From here, we can substitute our values in. Since we're using 3.14 for pi, we'll substitute that as well.
(5)² x (3.14)
-And finally, we can solve to find the area of the circle.
(25) x (3.14)
(78.5)
Therefore, the answer is 78.5 meters.
<em>Hope this helped! :)</em>
Answer:
C. 1/4
Step-by-step explanation:
There are in total 12 marbles in the bag. So the probability of picking a red marble is 3/12. If you simplify that, you get 1/4.
Since B is perpendicular to A. We can say that the gradient of B will be -1/7 (product of the gradients of 2 perpendicular lines has to be -1).
Now we know that the equation for B is y=-(1/7)x + c with c being the y intercept.
Since the point isnt specified in the question, we could leave the equation like this.
But if there is a given point that B passes through, just plug in the x and y values into their respective places and solve to find c. That should give you the equation for b.
Now, to find the solution of x, we have 2 equations:
1) y=7x+12
2)y=-(1/7)x+c
In this simultaneous equation we see that y is equal to both the expressions. So,
7x+12=-(1/7)x+c
Now, since the value of c is not found, we cannot actually find the value of x, but if we would find c, we could also find x since it would only be a matter of rearranging the equation.
And there you go, that is your solution :)
A = P( 1 + r/n)^(nt)
A = 100(1 + .04/4)^12
A = 100(1.01)^12
A = 112.68