Step-by-step explanation:
since it is right-angled, first of all Pythagoras :
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90 degree angle).
so,
8.3² = 8² + HI²
HI² = 8.3² - 8²
HI = sqrt(8.3² - 8²) = sqrt(68.89 - 64) = sqrt(4.89)
alternative : the law of sine
a/sin(A) = b/sin(B) = c/sin(C)
with the sides are always opposite of the associated angles.
angle G = 180 - 90 - 75 = 15° (as the sum of all angles in a triangle is always 180°).
so,
8.3/sin(90) = 8.3/1 = HI/sin(15)
HI = 8.3 × sin(15)
another alternative would be the extended Pythagoras for non-right-angled situations. like making HI the baseline, although the opposing angles G is not 90°.
c² = a² + b² - 2ab×cos(C)
C being the angle opposite of c.
HI² = 8.3² + 8² - 2×8.3×8×cos(15) = 132.89 - 132.8×cos(15)
HI = sqrt(132.89 - 132.8×cos(15))
Answer:
n> -6
Step-by-step explanation:
-35n -28< 182
+28 +28
______________
-35n < 210
n> -6
Answer:
x = 1/2
Step-by-step explanation:
2x + 3 = 4x + 2
-2x -2x
3 = 2x + 2
-2 -2
1 = 2x
Divide both sides by 2x
x = 1/2
Answer:
14:6
Step-by-step explanation:
The domain of the function will therefore be 0≤x<∞
<h3>Domain of a function</h3>
Domain of a function are the independent value for which a function exists. Given the function below;
f(x) =
Since the value in the root cannot be negative hence the domain of the function will be all positive real numbers.
The domain of the function will therefore be 0≤x<∞
Learn more on domain here: brainly.com/question/25959059
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