We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56
Answer:
<h2>
John has $15 and Alex has $33</h2>
Step-by-step explanation:
a systems of equations can be made from the information on the problem
x+y=48
x=2y+3
since x= 2y+3 substitute 2y+3 in the firat equation to get:
(2y+3)+y=48 -> 3y+3=48 -> 3y=45 -> y=15
plug in 15 for y in the second equation to solve for x
x+15 =48 --> x=33
4x = 5x - 12
First you want to subtract 5x from both sides:
5x will cancel out
4x - 5 = -1
Next you want to divide -1 on both sides:
-1 will cancel out
-12/-1 = 12
Since there are two negatives it turns into a positive.
So your answer is x = 12.
Hope this Helps!!
Answer:
Independent event
Step-by-step explanation:
We have different type of event occurrence: an event could be dependent, independent or mutually exclusive.
Two event are mutually exclusive if disjoint if they cannot both occur at the same time. An example of mutually exclusive event is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.
Two events are independent if the occurrence of one does not affect the probability of occurrence of the other. Independent Events are not affected by previous events.
Two events are dependent if the occurrence of one does affect the occurrence of the second one.