Answer:
1
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Trigonometric functions are used to show the relationship between the angles of a triangles and the sides of the triangle. For a right angled triangle, the ratio of the sides can be gotten using trigonometric functions such as:
cosθ = adjacent/hypotenuse, sinθ = opposite/hypotenuse, tanθ = opposite/adjacent
Given the right angle triangle:
cos(A) = adjacent / hypotenuse = 3 / 4.24
cos(A) = 3 / 4.25
cos(B) = adjacent / hypotenuse = 3 / 4.24
cos(B) = 3 / 4.24
cos(A) / cos(B) = (3 / 4.24) ÷ (3 / 4.24) = 1
cos(A) / cos(B) = 1
A.) 24 ft
Explanation:
The formula for the volume of a rectangular prism is length x width x height.
To find the missing width, follow this formula:
Volume divided by ( heigth x length)
In this case, it will be:
16,320 divided by ( 8 x 85 ) = 24
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Therefore, the bones were 6612.5 years old at the time they were discovered.
<h3><u>Half life</u></h3>
Given that the radioactive element carbon-14 has a half-life of 5750 years, and a scientist determined that the bones from a mastodon had lost 57.5% of their carbon-14, to determine how old were the bones at the time they were discovered, the following calculation must be made:
- 50 = 5750
- 100 = 11500
- 57.5 = X
- 57.5 x 11500 / 100 = X
- 6612.5 = X
Therefore, the bones were 6612.5 years old at the time they were discovered.
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