Answer:
45 sq.units
Step-by-step explanation:
to get area of a triangle, it would be base*height/2, so 15*6/2 would be 90/2, which ends up being 45, which is the answer.
Answer:
as x approaches infinity, f(x) approaches 0
as x approaches -infinity, f(x) approaches infinity
Step-by-step explanation:
we can observe that 1/2 < 1 and since it's being exponentiated, the f(x) gets smaller and smaller as x gets bigger.
For example, f(0) = 1, f(1) = 1/2, f(2) = 1/4
so, as x approaches an infinitely large number, f(x) gets closer and closer to zero.
this is the opposite as x approaches a negatively large number. following exponential rules, 1/2^(x) = 2^x for all x < 0. therefore as x approaches negative infinity, f(x) approaches infinity.
in this case, f(-1) = 2, f(2) = 4, f(3) = 8
1.6 hours
152 km total divided by her speed, 95 km/h =1.6
The answer is 200 cm³
The volume of the rectangular prism (V1) is:
V1 = l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
Thus: V1 = 12 · 5 · 5 = 300 cm³
The volume of pyramid (V2) is:
V2 = 1/3 · l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³
The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):
V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³
