Answer:
B.)
Step-by-step explanation:
The base of the pyramid is square shaped with given edge and altitude:
So, the pyramid is a Right square pyramid.
Height of the pyramid(h)=
Edge of the base(a)=
Volume of a right square pyramid(V)=
Putting the given values in the formula:
Volume=
volume of pyramid=
The volume of the square based pyramid is
the correct answer is
16.05
30 students do not go on the bus. Since 50would be 100%, 20% would be equal to 8. So 20 students take the bus and 30 students do not take the bus.
We know that, as per a corollary of intermediate value theorem, if a function f(x) is continuous on a closed interval [a,b], and values of f(a) and f(b) have opposite signs, then the function f(x) is guaranteed to have a zero on the interval (a,b).
So, basically, we need to figure out two values of x, at which the values of the given cubic function have opposite signs.
Let us consider the interval [-2,1].
We have . Upon substituting the values x=-2 and x=1 one by one, we get:
We can see that signs of values of the function at x=-2 and x=1 are opposite, therefore, as per intermediate value theorem, the function is guaranteed to have a zero on the interval [-2,1]
Answer:
x = 2
y = 12
Step-by-step explanation:
In triangle ABD, CE is the mid segment.
Therefore, by mid segment theorem:
2(5x - 3) = x + 12
10x - 6 = x + 12
10x - x = 12 + 6
9x = 18
x = 18/9
x = 2
Since, DE = EA
2y - 4 = y + 8
2y - y = 8 + 4
y = 12