Answer:
h ≤ 124 / 9
or
h ≤ 13.78
Step-by-step explanation:
(3/4) (12h - 32) ≤ 100 (multiply both sides by 4)
(3) (12h - 32) ≤ 100 (4)
(3) (12h - 32) ≤ 400 (distribute 3 into the parenthesis)
(12h)(3) - (32)(3) ≤ 400 (expand left side terms)
36h - 96 ≤ 400 (add 96 to both sides)
36h ≤ 400 + 96
36h ≤ 496 (divide both sides by 36)
h ≤ 496 / 36 (sinmplify)
h ≤ 124 / 9
or
h ≤ 13.78
The correct value of the length of a side = 2¼ ft
Answer:
area of the whole mosaic = 182.25 ft²
Step-by-step explanation:
We are told it has a 6 x 6 array of different colour square tiles.
Which means it has 6 x 6 = 36 square tiles.
Area of square = L²
Where L is length of side
Now, since length of one tile is 2¼ ft long.
Thus, area of one square tile = (2¼)²
= 81/16 ft²
Since there are 36 tiles,
Thus ;
Total area ; 81/16 x 36 = 182.25 ft²
Answer:

Step-by-step explanation:
we have

we know that


substitute

therefore
The 2014 population of West Palm Beach in scientific notation is equal to

Answer:
see below
Step-by-step explanation:
sqrt(77)
8^2 = 64
9^2 = 81
It is closer to 9
We know it is between 8.5 and 9
8.8^2 = 77.44
This is a good approximation