Answer:
B 24
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2,
where c is the hypotenuse of a triangle and a and b are the other 2 side lengths
26^2-10^2 = h^2
h^2 = 576
h = + or - 24
since height can't be negative, the answer is 24
Answer:
D
Step-by-step explanation:
Answer:
Yes, it is a function
Step-by-step explanation:
Every possible input x value is paired with a unique output y value.
Another approach is to graph the function then conduct the VLT (vertical line test) at which point you will realize that any vertical line will intersect the graph at one point only meaning it is a function.
Hope this helps.
Answer:
a) shown
b) h = [sqrt(17) - (5/2)t]²
c) t = 2sqrt(17)/5 seconds
Step-by-step explanation:
V = pi × r² × h
V = pi × 5² × h
V = 25pi × h
a) dV/dt = dV/dh × dh/dt
-5pi × sqrt(h) = 25pi × dh/dt
dh/dt = -sqrt(h)/5
b) 1/sqrt(h) .dh = -5. dt
2sqrt(h) = -5t + c
t = 0, h = 17
2sqrt(17) = 0 + c
c = 2sqrt(17)
2sqrt(h) = -5t + 2sqrt(17)
sqrt(h) = [2sqrt(17) - 5t] ÷ 2
sqrt(h) = sqrt(17) - (5/2)t
Square both sides
h = [sqrt(17) - (5/2)t]²
c) empty: h = 0
0 = [sqrt(17) - (5/2)t]²
sqrt(17) - (5/2)t = 0
(5/2)t = sqrt(17)
t = 2sqrt(17)/5
t = 1.64924225 seconds
sqrt: square root
(4 - -2) / (9 - 5) = 6/4 or 3/2
