Answer:
The vertex angle is 180-(60+75)=45.
k/sin75=900/sin45 so k=900sin75/sin45=1229km approx.
Step-by-step explanation:
9.88 • 10°
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Ten to the power of zero
Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
Volume of pyramid is
.
The pyramid has a height 14 inches and a base area of 60 in2.
What is volume?
Volume is a three - dimensional quantity that is used to measure the capacity of a solid shape.
Volume of the pyramid =
X 
= 
=

So the volume of pyramid =

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Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)
Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is

.
Plugging 15 and 35 in x, we can find the values of the function, i.e.

and

.
Then, the average change is