Answer:
<u>The function that relates the distance traveled d to the time t is:</u>
<u>f(t) = 120t, where d = f(t)</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
At a constant speed, the train travels 480 kilometers in 4 hours
2. The function that relates the distance traveled d to the time t is?
Let's write the relation as a linear equation and then we'll write it using function notation, as follows:
If the train travels 480 kilometers in 4 hours, then it will travel 120 kilometers in one hour, therefore:
d = 120t
if t = 0 ⇒ d = 0, because the train is still at the station and if t = 1 ⇒ d = 120.
Now we replace d by f (t), because d = f t):
f(t) = 120t
for any given value of t, d will be equal to t multiplied 120 times
Step-by-step explanation:
Aaron had 72 beads
Bessy had 60 beads
Carl had 46 beads
Dawn had 22 beads
No, as if you reduce 4/16 it is 1/4, not 3/5, therefore they are not equivalent.
Answer:
[1] Let's make the problem easier to start. Imagine that they had said to find the area of a sector bounded by a 360* arc (the whole circle). Could we have found the area then?
Sure we could! We know that A = pi*r^2, so that would just be:
A = pi*(6)^2 = 36*pi sq. miles.
Easy. But of course, we weren't so lucky... they want 135*... drat!
[2] Well, let's get a little closer, could we find the area if the angle was 180*? Sure! That's just half the circle. After all:
180*/360* = 1/2.
We know the whole circle is 36*pi sq. miles. So, the area bounded by a 180* arc would just be half of this: 18*pi sq. miles.
"But that's not the question," you scream!! Alright, alright, calm down... let's bring it all together.
[3] We know the area of the whole circle [1]. We also know that if we can figure out the fraction of the circle the problem is easy [2]. So, what fraction of a circle would match an arc of 135*?
Well, we can see that
135*/360* = 0.375 or 3/8
So the area is just 0.375 of the whole circle:
0.375* 36*pi sq. miles = 13.5*pi sq. miles
Read more on Brainly.com - brainly.com/question/2978439#readmore
Answer:
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