Answer:
thirteen sixteenths
Step-by-step explanation:
Three eighths plus seven sixteenths equals blank
3/8 + 7/16 = ?
= (2*3)+(1*7)/16
= (6+7)/16
= 13/16
13/16 is equivalent to thirteen sixteenths
Answer:
3,799.4in³
Step-by-step explanation:
Find the diagram attached;
Volume of the cylinder = πr²h
From the given figure;
radius r = 11in
height = 10in
Substitute
V = π(11)²((10)
V = 3.14 * 121 * 10
V = 31.4*121
V = 3,799.4 cubic inches
Hence the volume of the cylinder is 3,799.4in³
First, let me introduce the general equation of the parabola:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2=+/- 4a(x-h), where
(h,k) are the coordinates of the vertex
a is the distance of the vertex to the focus
4a = length of lactus rectum or the focal width
If the equation contains (x-h)^2, then the parabola passes the x-axis twice. Similarly, (y-k)^2 passes the y-axis twice. If the sign is (-), it opens to the left(if y-axis) or downward (if x-axis). If the sign is (+), it opens to the right(if y-axis) or upward (if x-axis).
The equation of the parabola is -1/12 x^2 = y. Rearranging to the general form:
x^2 = -12y
Therefore,
-4a = -12
4a = 12
a = 3, and the parabola is facing downwards.
The vertex is (0,0) at the origin.
The focus is (0,-3). Since it is negative, the focus is situated downwards, hence -3.
The directrix is the mirror image of the focus. Hence, it is a line passing +3 on the y-axis. y=3
Focal width is 4a which is equal to 12 units.
8.5/100=5.25/x
cross multiply
5.25×100=8.5x
525/8.5=x
$61.76=x
