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:
first one is 82% second is 214%
Step-by-step explanation:
Step 1: Divide 288 by 351 to get the number as a decimal. 288 / 351 = 0.82
Step 2: Multiply 0.82 by 100. 0.82 times 100 = 82
Step 1: Divide 212 by 99 to get the number as a decimal. 212 / 99 = 2.14
Step 2: Multiply 2.14 by 100. 2.14 times 100 = 214
