Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?
1 answer:
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Answer:
22.9m
Step-by-step explanation:
Using Pythagorean theorem, we can get two equations using the angles.
From Point A:
∠A = 20°
AB = 20m
From Point B:
∠B = 29°
BD = x
What we are looking for is the opposite side of each right triangle, each person makes because we have one adjacent side. We also know that both opposite sides will be equal.
So we use this formula for both point of views:
Where:
Opposite = height of the building
Adjacent = distance from the building
We are looking for the opposite side so we can tweak our formula to get an equation for the height
Using our given, we can solve for the distance of point B to D:
The distance of point B to D is 38.2572 m.
Now that we know the distance of BD we can solve for the height of the building using only the given from point B.
But this is only the height from the line of sight. To get the height of the building from the ground, we just add the height of the viewer, which is 1.7m.
21.21m + 1.7m = 22.91m
The closest answer is: 22.91 m
The function that represents the number of E.coli bacteria cells per 100 mL of water as t years elapses, and is missing in the question, is:
Answer:
Option A. 59%
Explanation:
The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function::
Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.
You can calculate it also using two consecutive values for t. For instance, use t =1 and t = 1