Answer:
the height of the pyramid is 8 ft
Step-by-step explanation:
Considering the base of the pyramid to be square whose area is 144 sq ft
This means the side of the base would be √144 = 12 ft.
Now, if you will imagine a pyramid we can easily observe that
Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as
10^2 = H^2 +6^2
⇒ H^2 = 10^2-6^2 = 100-36 = 64
⇒ H = 8 ft
Therefore, the height of the pyramid is 8 ft
Answer:
2 roots in every case, not all are real.
Step-by-step explanation:
All of these equations are quadratic equations (degree 2). Every quadratic has two roots. They may be identical (looks like 1 root), and they may be complex (zero real roots), but there are always 2 of them.
a) the y-value of the vertex is negative and the parabola opens downward (leading coefficient -5), so there are no real zeros and both roots are complex.
b) each binomial factor contributes a root. Both roots are real.
c) the discriminant is positive, (3²-4·2·1=1), so both roots are real.
Answer:
cost = 32
Step-by-step explanation:
price = not sure
Answer:
Step-by-step explanation:
it is D
As a mixed fraction it is: 
As a regular fraction it is: