Answer:
The volume of the solid is 180 cubic feet.
Answer:
2/9 = 22.2%
Step-by-step explanation:
Each die has 6 numbers, so the total number of possible combinations is 6×6 = 36.
The combinations that add up to 7 or 11 are:
1 and 6
2 and 5
3 and 4
4 and 3
5 and 2
6 and 1
5 and 6
6 and 5
That's a total of 8. So the probability of winning is 8/36 = 2/9 = 22.2%.
7p-(3p+4)=-2(2p-1)+10
7p-3p-4=-4p+2+10
collect the like terms
7p-3p+4p=2+10+4
8p=16
p=2
Let length be l
and breadth be b
perimeter = 28
2(l+b) = 28
l + b = 14
l = 14 - b
area = 48
l x b = 48
(14 - b) b = 48
14b - b^2 = 48
b^2 - 14b + 48 = 0
b^2 -6b - 8b + 48 = 0
b( b - 6 ) - 8 ( b - 6) = 0
(b-8) ( b-6) = 0
so
either b = 8 or b = 6
if b= 8
l = 14 - 8 = 6
( not possible as length cannot be smaller than breadth)
so
breadth = 6
length = 8
You need only set up a proportion.
11 cm/16.5 cm = 4 cm / x Cross multiply
11x = 16.5 * 4
11x = 66 ' Divide by 11
x = 66/11
x = 6
The expanded height is 6 cm Answer