X=111
A 7 sided shape all the interior angles should add to 900 so if you add all the angles given you get 789 then subtract that from 900
Answer:
if it says greatest change then its 6:30 to 7:00
Step-by-step explanation:
9514 1404 393
Answer:
x ≈ 136.7 ft
Step-by-step explanation:
As you have marked, the relevant sides are the adjacent side and the hypotenuse. The mnemonic SOH CAH TOA reminds you ...
Cos = Adjacent/Hypotenuse
For this triangle, that means ...
cos(43°) = (100 ft)/x
x = (100 ft)/cos(43°) . . . . . . . . . . multiply both sides by x/cos(43°)
x ≈ 136.73 ft
The length x is about 136.7 feet.
Answer:
your answer should be 102kg i could be wrong.
I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
