Answer:
285 boxes are in the display
Step-by-step explanation:
Given data
top layer box = 1
last row box = 81
to find out
how many box
solution
we know that every row is a square so that if the bottom layer has 81 squares it mean this is 9² and every row has one lesser box
so that next row will have 8^2 and than 7² and so on till 1²
so we can say that cubes in the rows as that
Sum of all Squares = 9² + 8² +..........+ 1²
Sum of Squares positive Consecutive Integers formula are
Sum of Squares of Consecutive Integers = (1/6)(n)(n+1)(2n+1)
here n = 9 so equation will be
Sum of Squares of Consecutive Integers = (1/6) × (9) × (9+1) × (2×9+1)
Sum of Squares of Consecutive Integers = 285
so 285 boxes are in the display
Answer:
126.00.cm. happy to help
Step-by-step explanation:
Vertical angles are equal...so set ur angles equal to each other and solve for x
5x + 10 = 7x - 12
12 + 10 = 7x - 5x
22 = 2x
22/2 = x
11 = x <==
Using the formula a^2+b^2=c^2you can fill in the numbers so that a=height of mattress in inches,b=40 inches or distance from base of the bed and c=48 or length of the ramp. a^2+40^2=48^2a^2+1600=2304
So then it becomes2304-1600=a^2704=a^2 26.5+=aSo, The top of the mattress(after rounding) is 26.5 inches off the ground.
