Answer:
The initial value is 60 m and the slope is 40 m/min.
Step-by-step explanation:
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes.
See the graph attached.
Part A : If we consider two right triangles one Δ ABD and Δ BCE, where D(2,100) and E(1,60) points.
Now, those two triangles are similar and hence the slope of line segment AB will be .
Again, the slope of the line segment BC will be
Hence, and the slope of AB and BC are the same. (Answer)
Part B : From the graph, it is clear that the initial value of the graph is 60 m and it represents that initial position of the shark i.e. at t = 0 min, the shark was at a depth of 60 m from the water surface.
The slope of the graph is 40 means the rate of change of distance from the Ocean surface of the shark with respect to time in minutes will be 40 m per min. (Answer)
<em><u>There you go, I hope its right!</u></em>
Answer
the 3rd one!
Step-by-step explanation:
Answer:
Step-by-step explanation:What is the probability of an event that is impossible? Suppose that a probability is approximated to be zero based on empirical results. Does this mean that the event is impossible?
What is the probability of an event that is impossible?
nothing (Type an integer or a decimal.)
Answer:
12 a. 4605 feet 12 b. 1,459,063 square feet
Step-by-step explanation:
For the perimeter, we simply add the lengths of each of the 5 sides together (or multiply 5 times one side length).
P = 5(921)
P = 4605 feet
For the area, we will use composition...add the area of the triangle to the area of the trapezoid.
For the area of the triangle, the formula is
.
Filling in our values gives us
and
A = 403,045 square feet.
Now for the trapezoid. The formula for a trapezoid is
![A=\frac{1}{2}(b_{1}+b_{2})(h)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28b_%7B1%7D%2Bb_%7B2%7D%29%28h%29)
where the b's represent the bases and the h represents the height. Filling in our values gives us
![A=\frac{1}{2}(921+1490)(876)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28921%2B1490%29%28876%29)
Work inside the parenthesis first:
and
A = 1,056,018
Now we add those together to get that area of the Pentagon is 1,459,063 square feet
$21.30. You just have to add the numbers together.