Answer:
I have no idea what sohcahtoa is but:
tan 50.1° = x/5
1.196 = x/5
multiply both sides of the equation by 5:
x = 5.98
Answer = -20
-4-5+4+(-5)-4-5+4+(-5) =-20
Answer:
d=14
Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.
so the answer is d=14
Answer:
See explanation
Step-by-step explanation:
<u>Step 1.</u> Substitute for d to solve for n:
From the first equation:
![d=70-n](https://tex.z-dn.net/?f=d%3D70-n)
Then substitute it into the second equation:
![0.1(70-n)+0.05n=5.5\\ \\7-0.1n+0.05n=5.5\\ \\7+(-0.05n)=5.5\\ \\-0.05n=5.5-7=-1.5\\ \\n=\dfrac{-1.5}{-0.05}=30](https://tex.z-dn.net/?f=0.1%2870-n%29%2B0.05n%3D5.5%5C%5C%20%5C%5C7-0.1n%2B0.05n%3D5.5%5C%5C%20%5C%5C7%2B%28-0.05n%29%3D5.5%5C%5C%20%5C%5C-0.05n%3D5.5-7%3D-1.5%5C%5C%20%5C%5Cn%3D%5Cdfrac%7B-1.5%7D%7B-0.05%7D%3D30)
<u>Step 2:</u> Substitute for n to solve for d:
![d+n=70\\ \\d+30=70\\ \\d=70-30=40](https://tex.z-dn.net/?f=d%2Bn%3D70%5C%5C%20%5C%5Cd%2B30%3D70%5C%5C%20%5C%5Cd%3D70-30%3D40)
There are 40 dimes and 30 nikels in the piggy bank