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:
26%
Step-by-step explanation:
10/39 + 100% = 25.64102%
nearest percent, 26%
there are 25 girls. you can figure this out by adding 5 and 8 to find that there are 5 girls for every 13 students. then you have to find how many times 13 fits into 65. in this case it is 5. knowing this you can multiply the 5 girls by 5 to find that there are 25 girls in a class of 65 students
Answer:
The answer is (4x - 3)/(x + 6)
Step-by-step explanation:
∵ (4x² - 7x + 3)/(x² + 5x - 6)
Factorize the numerator:
4x² - 7x + 3 = (4x - 3)(x - 1)
Factorize the denominator:
x² + 5x - 6 = (x - 1)(x + 6)
∴ (4x - 3)(x - 1)/(x - 1)(x + 6) ⇒ reduce (x - 1) from in up and down
∴ The answer is (4x - 3)/(x + 6) ⇒ the fourth answer