Answer:
Step-by-step explanation:
Right △EFG has its right angle at E, FG=12 , and EG=8
Since the right angle triangle is at E
FG = 12 is the hypotenus
EG = 8
EF =x
using pythagoras theorem
HYP²= OPPOSITE²+ ADJACENT²
FG²= EF²+EG²
12²= EF²+8²
144 = EF²+64
144-64 = EF²
80 = EF²
EF = √80 = √16X5 = √4²X5 = 4√5
csc G = ADJACENT /HYPOTENUS = EG/FG=8/12= 2/3
sin F = opposite/hypotenus = EG/FG=8/12 = 2/3
Tan F = opposite/adjacent = EG/EF= 8/4√5=2/√5
The function f(x)=12,419(1.4)^× represents the number of vistors to a website x years after it was launched. Each year , the number of visitors is _<em>1.4</em><em> </em><em>times</em><em> </em><u>_</u> the number the year before
Option A
Hope this helps ^-^
Answer:
A(1,-9), B(3,-5),C(4,-8)
Step-by-step explanation:
The volume of a cylinder is
(pi) (radius²) (height) .
Radius = 1/2 diameter.
Radius of this pool = (1/2) (18 ft) = 9 ft
The pool is a cylinder with height of 4.5 feet.
The water in it is also a cylinder, but only 4 ft high.
Volume of the water =
(pi) x (radius²) x (height)
= (pi) x (9 ft)² x (4 ft)
= (pi) x (81 ft²) x (4 ft)
= (pi) x (324 ft³) = 1,017.9 ft³ .
The answer will be 62.4. We know this because of the next procedure:
<span>We know that:
the volume of a cylinder is pi * r^2 * h
the volume of a cone is 1/3 * pi * r^2 * h
the total height is 47.
the height of the cone is 12.
</span><span>the height of the cylinder must be 35.
Now, if the top half is filled with sand, then the volume of the sand is
pi * 4^2 * 36 and the volume of the cone is 1/3 * pi * 4^2 * 12.
the total volume = 1960.353816 cubic millimeters.
since the top drains at the rate of 10 * pi cubic millimeters per second, the top will be empty and the bottom full after 1960.353816 / (10 * pi) = 62.4 seconds.
I hope this answer is ok for you </span>
