Answer:
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Step-by-step explanation:
9514 1404 393
Answer:
36°, 54°, 90°
Step-by-step explanation:
We have to assume that the given measures are <em>angle</em> ratios, not <em>side</em> ratios. Sides in the ratios 2:3:5 will not form a triangle.
For some multiplier x, the angle values will total 180°.
2x +3x +5x = 180
x = 180/(2+3+5) = 18
Then the angle measures are ...
2x° = 2·18° = 36°
3x° = 3·18° = 54°
5x° = 5·18° = 90°
The angle measures are 36°, 54°, and 90°.
Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
Answer:
3) 
4) a) 
b) 
Step-by-step explanation:
<u>Exercise 3</u>
<u>Exercise 4</u>
a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ 
If L2 passes through point (3, 1):
So L2 = L1
b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ 
If L3 passes through point (-5, 2):
Answer:
12
Step-by-step explanation:
The given expression is :
We need to find the value of this expression when h = 8, j = -1 and k = -12.
Put all the values in the given expression.
So, the value of the given expression is 12.
