Started at 2000....after 6 hrs it grew to 2400...that means in 6 hrs, it grew 400.
6/400 = 16/x ....6 hrs to 400 = 16 hrs to x
this is a proportion, so we cross multiply
(6)(x) = (400)(16)
6x = 6400
x = 6400/6
x = 1066.67 <==
Answer:
1x,5y
Step-by-step explanation:
Answer:
Area: 272ft²
Volume = 82.6236447189ft³
Step-by-step explanation:
AREA
The area of a square pyramid is found by combining the area of the base and the area of the triangular faces:
Area of base = area of square = L² = 8² = 16ft²
Area of one triangular face = (1/2)bh = (1/2)(8)(16) = 64ft²
There are four triangular faces so the total area = 16+4(64)= 16+256= 272 ft²
VOLUME
The volume of a square pyramid = (a²)(h/3), where a is the length of the base and h is the length from the top of the pyramid to the middle of the square.
We are given a, but not h. To find h, we must imagine a right-angled triangle within the pyramid, where 16ft is the hypotenuse, h is the height and the base is half of a (since the base is a square and the distance is from the edge to the middle). We can then use pythagorus's theorem to find h:
A²=B²+C²
16²=(8/2)²+h²
256=16+h²
h=√240
h=15.4919333848ft
Knowing h, we can find the volume:
Volume = (a²)(h/3)
Volume = (8²)(15.4919333848/3)
Volume = (16)(5.16397779493)
Volume = 82.6236447189ft³
So, if we define a straight line<span> to be the one that a particle takes when no forces are on it, or better yet that an object with no forces on it takes the quickest, and hence</span>shortest<span> route </span>between two points<span>, then walla, the </span>shortest distance between two points<span> is the geodesic; in Euclidean space, a </span>straight line<span> as</span>
Remember that the point-slope form of a line is:
For a line with slope m and that passes through point (h,k)
Now, let's work on the line we're given. SInce the x-intercept is 6, we know that the line passes through (6,0).
Let's calculate the slope m :
Now, using point (5,3) we can get the following point-slope form for the line:
