The formula for the volume of a pyramid is,
V=1/3Bh
Since the base of the pyramid is a square, the base area is 11^2
which equals 121 sq. units
So, substitute 121
for B
and 6 for h, in the formula.
V=1/3(121)(6) = 242 cu. units
Or alternatively 1/3(11^2)(6) = 242 cu. units
Answer:
4 hours
Step-by-step explanation:
For three visits, the electrician earned $40 × 3 = $120 in "per-visit" charges. For working x hours, he earned 20x in "per-hour" charges. The total of these came to 50x:
120 +20x = 50x
120 = 30x . . . . . . . . subtract 20x
4 = x . . . . . . . . . . . . . divide by 30
The electrician worked 4 hours that day.
Answer:
The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
Step-by-step explanation:
Part A: The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
Part B: the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
inequality 1 -2 <4 (-2) - 2
-2 <-10 (false)
inequality two -2> = - (5/2) (- 2) - 2
-2> = 3 (false).
if you want to come bird 5 pints to 3 quarts it's 2.5 quarts