Answer:
The sheet should be turned up 7.5cm on each side to obtain maximum volume.
Step-by-step explanation:
If we make a rectangular eavesdrop, by bending the sheet along dotted line, then.
Height of eaves trough = x cm
Length of eaves trough = 600 cm
Width of eaves trough = (30 - 2x) cm
We know that Volume is given by:
V = Length · Width · Height
V = (x)(30 - 2x)(600)
V = -1200x² + 18000x
To maximize the volume, we take the derivative and put it equal to zero.
Answer: 12 units squared
Explanation:
A=1/2 bh
A=1/2 8*3
A=1/2 24
A=12
Therefore, the area of this triangle is 12 units squared
The exponent of 12 tells of how many prizes to count to the left of the decimal. Another example of how a scientific notation can make numbers easier to read is the diameter of a hydrogen atom, which is about 0.00000005 mm, and in Scientific notation is 5x10-8 5x10 -8mm.
Answer:
See Explanation
Step-by-step explanation:
Given
less than the most hour
Required
Hours read by Miss Allen
The question is incomplete, as the hours read by each student is not given.
To solve this, I will assume that the longest hours read by a student is x.
So, the expression for Miss Allen will be:
Assume that 
The expression becomes
Take LCM and solve
Answer:
Step-by-step explanation:
Divide both sides by 50 and you'll get x=17/50
If x is the exponent than we can take the natural log of both sides.
x(ln)50=ln(17)
Then divide ln50 on both sides
x=ln17/ln50= 0.72423228087
