The value of sine theta = negative eight-seventeenths ⇒ 2nd
Step-by-step explanation:
Let us revise the quadrant of an angle its terminal side passes through a given point
- If the given point is (x , y), then the angle lies in the 1st quadrant
- If the given point is (-x , y), then the angle lies in the 2nd quadrant
- If the given point is (-x , -y), then the angle lies in the 3rd quadrant
- If the given point is (x , -y), then the angle lies in the 4th quadrant
∵ The terminal side of angle Ф passes through P (15 , -8)
∵ x = 15 and y = -8
- P is (x , -y), then the angle Ф lies in the 4th quadrant
∵ The terminal side of angle Ф is the hypotenuse of a right
triangle whose horizontal leg is 15 units and vertical leg
is -8 units
- Use Pythagoras Theorem to find the length of the hypotenuse
∴ Hypotenuse = units
∵ sinФ =
∵ The side opposite to Ф is -8
∵ The hypotenuse is 17
∴ sinФ =
The value of sine theta = negative eight-seventeenths
Learn more:
You can learn more about the trigonometry function in brainly.com/question/4924817
#LearnwithBrainly
Answer:
D
Step-by-step explanation:
Intersecting, but not perpendicular lines
Answer: 120362
Step-by-step explanation:
The exponential function for finding population is given as :
A = P
Where :
A = Total amount of growth after some given time
P = Original population
r = growth rate
t = total years
From the question , we will notice that there is a decrease in the population , then the formula to be used will be
A = P )
A = ?
P = 14000
r = 1.5% = 0.015
t = 10
substituting each given values into the formula , we have
A = 1400 ()
A = 14000 ( )
A = 14000 X 0.859730442
A = 120362.2619
Therefore : The population after 10 years is ≈ 120362
18+3x=-10+x
3x-x=-10-18
2x=-28
x=-14