Answer should be 40 if I did the math right
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))
It's 540 cause in one day he picks 12 so in 45=540 cause 45×12 that's all
Step-by-step explanation:
3x - 3x = 0,
4y - 2y = 2y, and
17 - 3 = 14.
Hence,
3x + 4y = 17
- (3x + 2y = 3)
=> 2y = 14.
The correct answer is Option c.
Answer:
T = 12
Step-by-step explanation:
Vertical angles are congruent or equal each other.
8t + 1 = 97
8t + 1 -1 = 97 - 1
8t = 96
8t ÷ 8 = 96 ÷ 8
T = 12
Hope that helped you and have a great day!