Answer:
h=404.89
Step-by-step explanation:
We are looking for side h, which is opposite of the observer. We know that the side adjacent to the observer is 500 feet. We also know that the angle from the observer to the bird is 39°. Because we have these values, SOH CAH TOA tells us that we should use tangent, opposite over adjacent.
We can set up our equation as follows:
tan(39°)=h/500
We can then solve for h:
500*tan(39°)=h
h=404.89
Answer:
5 days
Step-by-step explanation:
1/2 + 1/2 = 3 (2 days) times by 2 makes it 4 days and finally 5th day 7 1/2
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
Learn more about Equations:
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we are given
we can use factoring formula
we can compare
and we get
now, we can solve for m and n
and we get
now, we can use formula
and we get
now, we can set it equal to 0
so, we will get
.............Answer
