Step-by-step explanation:
a a reflex angle is more than 180° but less than 360° so in this case the reference angle of 95 degrees we are going to take 360° - 95 degrees to get255°
Hello I believe that the property is comuutative thank you
D=2n: there are twice as many dimes as nickels.
n+d+q=52: a total of 52 coins, using d from above in this gives you:
n+2n+q=52 combine like terms on left side
3n+q=52 subtract 3n from both sides
q=52-3n
Then you are told that the coins have a total value of $6 which is equal to 600 cents. So we can say:
25q+10d+5n=600 divide all terms by 5
5q+2d+n=120, and from earlier we saw q=52-3n and d=2n so you have:
5(52-3n)+2(2n)+n=120 expanding...
260-15n+4n+n=120 combining like terms
260-10n=120 subtract 260 from both sides
-10n=-140 divide both sides by -10
n=14, since q=52-3n and d=2n
q=(52-3(14))=52-42=10
d=2(14)=28
So there are 10 quarters, 28 dimes, and 14 nickels or as your choices put it:
q=10, d=28, n=14 (the correct answer is d.)
We have that the workdone in stretching natural length to is mathematically given as
W=9/2lbft
<h3>Workdone in stretching natural length</h3>
Question Parameters:
- A force of 128 lb is required to hold a spring stretched 2 ft <em>beyond </em>its natural length.
- Stretching it from its natural length to 9 inches beyond its natural length
Generally the Hookes equation for the Force is mathematically given as
F=Kx
Where
3.2lb=2ft*k
Thereofore
k=16
Force becomes
f=kx
f=16x
Hence
![W=8[x^2]^{3/4}_{0}](https://tex.z-dn.net/?f=W%3D8%5Bx%5E2%5D%5E%7B3%2F4%7D_%7B0%7D)
W=9/2lbft
For more information on Length visit
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