Answer:
x ≈ - 6.49, x ≈ 12.49
Step-by-step explanation:
Given
(x - 3)² + 7 = 97 ( subtract 7 from both sides )
(x - 3)² = 90 ( take the square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ±
Then
x = 3 - ≈ - 6.49 ( to the nearest hundredth )
x = 3 + ≈ 12.49 ( to the nearest hundredth )
Answer:
d) sin(45°) = 13/
Step-by-step explanation:
Trig ratios:
sin(x) = O/H
cos(x) = A/H
tan(x) = O/A
where x is the angle, O = opposite side to angle, A = adjacent side to angle, and H = hypotenuse
From inspection, we have been given the measure of the side OPPOSITE to the angle and the measure of the HYPOTENUSE.
angle = 45°
opposite side = 13
hypotenuse =
Therefore, substitute these values into the sine trig ratio:
⇒ sin(x) = O/H
⇒ sin(45°) = 13/