Answer:
91.3 in³
Step-by-step explanation:
The formula for the volume of a pyramid is:
V = 
where B=area of the base and h=height of the pyramid
Given the dimensions in the problem and that the pyramid has a square base, we can first calculate the area of the base:
A = 7.4 x 7.4 = 54.76 in²
Multiply the area of the base x height of the pyramid: (54.76 x 5) = 273.8
Divide by 3 (multiply by 
): 273.8/3 ≈ 91.3 in³
Answer: m = - 3 and b = - 3.
Justification:
A system of linear equations will not have solutions if the two lines are parallel.
Two equations are parallel if their slopes (m) are equal and the y-intercep (b) are different.
Since the given equation is y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be - 3, and the value of b need to be different to 5.
The only pair from the choices that meets that is the first option m = - 3 and b = -3.
She will need to cut 26.6 haircuts a month a location A to break even (1200/45 = 26.6) so roughly 27 haircuts to make a profit
She will need to cut 30 haircuts at location B to break even (1800/60 = 30) and 31 hair cuts to see a profit.
She will need to cut 30.67 haircuts at location A and 33 haircuts at location B to make the same profit at either location (Roughly $180).
30.67 x 45 = 1380.15 - 1200 = 180
33 x 60 = 1980 - 1800 = 180
L= 3w
Perimeter form = 2(l+w)
2(3w + w) = 112
6w + 2w = 112
8w = 112
w= 14
The greatest possible value for w is 14
Hope this helps!
