Answer:
Let 'x' represent the width.
2*48 + 2x = 126
x = 15 in
The maximum width could be 15 inches.
Your answer to your problem is -1/3
Answer:
x = 33
y = 41
Step-by-step explanation:
GIven
x: number of nickels
y: number of quarters
A nickel = $0.05
A quarter = $0.25
then we have the system of equations
0.05*x + 0.25*y = 11.90
x + y = 74
Which can be solved applying any of known methods. Then, the solution is
x = 33
y = 41
hope this was helpful.
Answer:
∠AB=9
Step-by-step explanation:
<em>the pyagrothyes therom= </em>
<em>+</em>
<em>=</em>![c^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D)
<em>to find ∠AB we need to find the height of the triangle.</em>
<em>replace the variables:</em>
<em>+</em>
<em>=</em>![9^{2}](https://tex.z-dn.net/?f=9%5E%7B2%7D)
<em>=</em>
<em>-</em>
<em>=</em>![a^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D)
<em>simplify:</em>
<em>81-36=</em>![\sqrt{45}](https://tex.z-dn.net/?f=%5Csqrt%7B45%7D)
<em>now we solve for ∠AB</em>
<em>replace the variables:</em>
<em>+</em>
<em>=</em>![c^{2}](https://tex.z-dn.net/?f=c%5E%7B2%7D)
<em>simplify:</em>
<em>36+45=</em>![\sqrt{81}](https://tex.z-dn.net/?f=%5Csqrt%7B81%7D)
<em>=9</em>
I hope this helps you!!
have a nice day!!
To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.