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
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Answer:
25 months
Step-by-step explanation:
Plan A : $70 per month
Plan B : $50 per month + $500 as a one time cost.
So for A $70 a month would take 8 months to be at least $500
And for B it in those 8 months it would cost you $900
But we have to keep going up until they are equal
25*70 = 1750
(25*50) = 1250+500=1750
So yes 25 months is correct
The formula for the volume of a cone is 1/3

r²h, where r is the radius and h is the height.
Insert the values into the equation:
1/3

(5)²(11) ≈ 287.979327 (use a calculator for this part)
Divide 287.979327 by

and convert the decimal to a fraction:
91.66666666666666666666666666666666666666... = 91 2/3
The volume of the figure is 91 2/3

cubic units or units³.