Answer: a) 4 b) Bachelor’s
Steps:
1000 * 4%
1000 * 0.04
40
1000 + x = 1160
x = 160
160 / 40 = 4
Went to school for 4 years
A 4 year college degree is a bachelor’s degree
The value of θ is 45 degrees as sin45° is equal to 1/√2.
<h3>What is trigonometric equation?</h3>
Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.
<h3>What is the ranges of trigonometric angle?</h3>
Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.
Given, 2sin²θ = 1
solving the equation
sin²θ = 1/2
sinθ = 1/√2
we know sin45° has a specific value 1/√2
sinθ = sin 45°
now, θ = 45°
hence, the solution is θ = 45 degrees.
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Answer:
4.7x10^6
Step-by-step explanation:
Scientific notation can not exceed the ones place so you multiply that by 10^6 (1,000,000) to get 4,700,000
Answer:
14.15ft
Step-by-step explanation:
Attached is a visual representation of our scenario.
The green line represents the line of sight of the bird, and the green angle represents the angle of depression. It goes downwards because it says "depression."
As you can observe, the scenario creates a right triangle, where the alternate interior of the angle is found in the triangle.
Using Trigonometric Functions, or SOHCAHTOA, we can solve for the distance between the bird and the food, which in this case is the hypotenuse(H) of the triangle. Looking at the diagram again, we can see that 11ft was also given, which can be represented as the adjacent (A) side of the triangle. It is adjacent because it is right next to the angle given.
Because we have an angle and the adjacent side, we will use CAH.
Given:
A= 11ft
H = x
θ = 39°
Solution:
CAH
![cos\theta=\dfrac{A}{H}](https://tex.z-dn.net/?f=cos%5Ctheta%3D%5Cdfrac%7BA%7D%7BH%7D)
![Cos39=\dfrac{11ft}{x}](https://tex.z-dn.net/?f=Cos39%3D%5Cdfrac%7B11ft%7D%7Bx%7D)
![x = \dfrac{11ft}{Cos39}](https://tex.z-dn.net/?f=x%20%3D%20%5Cdfrac%7B11ft%7D%7BCos39%7D)
![x = 14.15 ft](https://tex.z-dn.net/?f=x%20%3D%2014.15%20ft)
The bird is 14.15 ft away from the food.
Answer:
100/2048=0.048828125%
Step-by-step explanation:
He has a 50% chance of making each free-throw, so 1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2*1/2=1/(2^11)=1/2048
to get a percentage you time by 100 to get 100/2048