Answer:
24:10, 60:25
Step-by-step explanation:
Answer:
D. This sequence is a function because each output (even terms in sequence) maps to one input (odd terms in sequence).
Step-by-step explanation:
0, 10, 2, 12, 4, 14, 6, 16, 8, 18, 10, 20
he startes with $0 he gits his first allowance wich is $10, he spends $8 and saves $2. he gits anuther $10 and the remaning $2 is $12 he spends $8 he has $4 gits anuther $10 and the remaning $4 is $14 he spends $8 he has $6 he gits anuther $10 and the remaning $6 is $16 he spends $8 he has $8 he gits anuther $10 and the remaning $8 is $18 he spends $8 he has $10 he gits anuther $10 and the remaning $10 is $20.
hope this helped
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Answer:
Part a) Exactly values
The width of the rectangle is ![\frac{\sqrt{70}}{2}\ cm](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B70%7D%7D%7B2%7D%5C%20cm)
The length of the rectangle is ![2\sqrt{70}\ cm](https://tex.z-dn.net/?f=2%5Csqrt%7B70%7D%5C%20cm)
Part b) Approximately values
The width of the rectangle is ![4.2\ cm](https://tex.z-dn.net/?f=4.2%5C%20cm)
The length of the rectangle is ![16.7\ cm](https://tex.z-dn.net/?f=16.7%5C%20cm)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of rectangle is equal to
![A=LW](https://tex.z-dn.net/?f=A%3DLW)
we have
![L=4x\ cm\\W=x\ cm](https://tex.z-dn.net/?f=L%3D4x%5C%20cm%5C%5CW%3Dx%5C%20cm)
substitute the values in the formula
![A=4x(x)](https://tex.z-dn.net/?f=A%3D4x%28x%29)
![A=4x^2](https://tex.z-dn.net/?f=A%3D4x%5E2)
![A=70\ cm^2](https://tex.z-dn.net/?f=A%3D70%5C%20cm%5E2)
so
![70=4x^2](https://tex.z-dn.net/?f=70%3D4x%5E2)
Solve for x
Divide by 4 both sides
![\frac{70}{4}=x^2](https://tex.z-dn.net/?f=%5Cfrac%7B70%7D%7B4%7D%3Dx%5E2)
square root both sides
![x=(+/-)\frac{\sqrt{70}}{2}](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Cfrac%7B%5Csqrt%7B70%7D%7D%7B2%7D)
The solution is the positive value
![x=\frac{\sqrt{70}}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Csqrt%7B70%7D%7D%7B2%7D)
therefore
<em>Exactly values</em>
![L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm](https://tex.z-dn.net/?f=L%3D4%5Csqrt%7B70%7D%7D%7B2%7D%3D2%5Csqrt%7B70%7D%5C%20cm%5C%5C%5C%5CW%3D%5Cfrac%7B%5Csqrt%7B70%7D%7D%7B2%7D%5C%20cm)
<em>Approximately values</em>
![L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm](https://tex.z-dn.net/?f=L%3D4%5Csqrt%7B70%7D%7D%7B2%7D%3D16.7%5C%20cm%5C%5C%5C%5CW%3D%5Cfrac%7B%5Csqrt%7B70%7D%7D%7B2%7D%3D4.2%5C%20cm)