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: B (-12, 15)
Step: (3×-4) =-12
And (3×5)= 15
Answer:
1/5, 1/3, 4/6
Step-by-step explanation:
First, find all the common denominators for these numbers. In this case, it's 30.
1/5 = 10/30
4/6 = 20/30
1/5 = 6/30
Now, you can see which ones are greatest and least.
1. 1/5 (least)
2. 1/3 (middle)
3. 4/6 (greatest)
Answer:
4/42 = 2/21 when simplified down
Step-by-step explanation:
Cancel the common factor: 2
=2/21
2,000 + 400 + 70 would equal 2,470.
The correct way to write it would be 2,000 + 400 + 7
