Answer:
Perimeter of rectangle before folded = 56 in
Total area after folding = 156 sq in
Step-by-step explanation:
Rectangle before folded: l = 16 and w = 12
P = 2(16) + 2(12) = 32 + 24 = 56 in.
Figure after folding: Area of trapezoid + area of rectangle
Area of trapezoid = h(
)/2 = 6(4 + 16)/2 = 60
Area of rectangle = lw = 16(6) = 96
Total area after folding = 60 + 96 = 156 sq in.
Note: You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle. Your choice. OK?
Answer: (0,-5)(1,-6) is the answers
The circumference of a circle is

since the radius is half of the diameter we can substitute the diameter instead of using 2r. So we get

The we can substitute the given diameter, which is 5 and multiply it by

and get

.
Answer:
The expected value of the lottery is $80
Step-by-step explanation:
To get the expected value, we have to multiply each outcome by its probability
Then we proceed to add up all of these to get the expected value of the lottery
we have this as ;;
125(0.2) + 100(0.3) + 50(0.5)
= 25 + 30 + 25 = $80
You actually can’t get the exact square root of a negative number, it is not 3 as 3 squared is 9 not negative 9. It is not possible to square a number to get a negative answer, that’s where all the “i” stuff comes in with irrational numbers.