This is the theory of algebra, to simply the expression we proceed as follows;
[sqrt(x-2)+5/sqrt(x-2)]/(x-2)
simplifying the numerator we get:
sqrt(x-2)+5/sqrt(x-2)
=[x-2+5]/sqrt(x-2)
=(x+3)/sqrt(x-2)
therefore our entire expression will be:
[(x+3)/sqrt(x-2)]/(x-2)
[(x+3)/(x-2)^(1/2)]*1/(x-2)
applying the law if indices we get
=(x+3)/(x-2)^(3/2)
Answer:
1/2
Step-by-step explanation:
We only care about the third coin
we could get heads or tails on the third flip
P (third coin will be heads) = outcome heads / total
=1/2
Answer:
Dimensions : 37.5 * 12.5
length : 37.5
width : 12.5
Step-by-step explanation:
let x = length and y = width
x = 3y based on info from problem
Perimeter = 2(length + width)
100 = 2(x + y)
substitute 3y for x
100 = 2(3y + y)
100 = 2(4y)
100 = 8y
y = 12.5
x = 3(12.5) = 37.5
Answer:
772.4 ft^2
Step-by-step explanation:
find the area of each face. first the slanted rectangle. the dimensions of the slanted rectangle are 21.7ft by 12ft. so the area is 21.7*12=260.4ft^2. for the two triangles on the sides, each on has an area of 20*8.5/2=85. next for the smaller rectangle, the dimensions are 12ft by 8.5ft giving us an area of 102 ft^2. lastly for the base, it has dimensions of 20ft by 12ft giving us an area of 240ft^2. now you just add up all the areas: 260.4+85+85+102+240=772.4 (you might want to check my addition just in case)
