Find the area of the circle to the nearest tenth use 3.14 for pie. If the circle measures 4.4mm
1 answer:
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Answer:
The statements that are true are:
- 1.575 was the coffee yield , in thousands of kilograms,before the honeybees were introduced.
- 1.16 represents the growth factor that reveals the rate at which the coffee yield increases.
- 2 is the number of times the coffee yield was compounded per year.
Step-by-step explanation:
We are given a function that models The coffee yield, in thousands of kilograms, t years after the introduction of the honeybees.
Also, the coffee yield increases according to a model where the exponential change is compounded semiannually .
The function is given by:
Here when t=0, i.e. before the honeybees were introduced we have:
Also, the rate of increase i.e. the growth rate is denoted by : 1.16
Also, 2 represents the number of times the coffee yield is compounded per year.
The angle of depression from the aeroplane to the ground will be 30 degrees.
<h3>What is trigonometry?</h3>
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
- An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 km
The angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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