Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
Answer:x=7/5
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
4.3/5.6 = 4/AB
AB = 5.2
Answer:
Step-by-step explanation:
Indicates leg lengths of 1 and√3 and hypotenuse 2, the desired ratio is √3/2
product means multiply, at least means greater than or equal to
The product of a number and 5 is at least 45: 5n ≥ 45
If asked to solve, divide 5 from both sides: n ≥ 9
Answer: 5n ≥ 45
