Answer:
14 Dimes and 12 Nickels
Step-by-step explanation:
So you want to make 2 equations like this:
n+d=26
0.05n+0.10d=2
Now, use substitution and get d=26-n
plug that into the next equation and get
0.05n+0.10(26-n)=2
Distribute and combine like terms
0.05n+2.6-0.10n=2
2.6-0.05n=2
subtract 2.6 from both sides and you get
-0.05n=-0.6
Solve for n by dividing and you get
12 nickels.
Now, plug that into the first equation and you get
12+d=26
d=14
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
*******************************************
A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
2.618 cm
Step-by-step explanation:
The formulae for finding the length of an arc subtended by an angle at the center of the circle is;
∅/360 * 2πr
We can begin by finding the circumference of the circle;
π * D
= π * 5 = 15.708
We multiply by the fraction of the angle out of 360 degrees;
⁶⁰/ 360 = ¹/6
¹/6 * 15.708 = 2.618
= 2.618 cm
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Answer:
x=63
y=27
Step-by-step explanation: