Find the circumference which is 2*3.14*13 and then usethe central angle formula
Y-6 = 15-6=9
2y+x= 2(15) + 3= 30+3 = 33
Chris started with $70 in the savings account
What is the equation representing the scenario?
The equation representing the scenario painted in the question is: one half times x plus 15 equals 50
1/2*X+15=50
X/2+15=50
X/2=50-15
X/2=35
X=35*2
X=70
In short the amount Chris started with in the savings account is $70
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Answer:
![\sqrt{119+120 i}=\pm (12.24+i 4.90)](https://tex.z-dn.net/?f=%5Csqrt%7B119%2B120%20i%7D%3D%5Cpm%20%2812.24%2Bi%204.90%29)
Step-by-step explanation:
Given
z = 119 + 120 i
Let ![\sqrt{119+120 i}=p+iq](https://tex.z-dn.net/?f=%5Csqrt%7B119%2B120%20i%7D%3Dp%2Biq)
Squaring both sides
![119+120 i=p^2-q^2+2ipq](https://tex.z-dn.net/?f=119%2B120%20i%3Dp%5E2-q%5E2%2B2ipq)
Comparing real and imaginary part
Re(LHS)=Re(RHS)
...........................(1)
comparing Im(LHS)=Im(RHS)
120=2pq
![q=\frac{60}{p}](https://tex.z-dn.net/?f=q%3D%5Cfrac%7B60%7D%7Bp%7D)
Substitute q in 1
![119=p^2-(\frac{60}{p})^2](https://tex.z-dn.net/?f=119%3Dp%5E2-%28%5Cfrac%7B60%7D%7Bp%7D%29%5E2)
![p^4-119p^2-(68)^2=0](https://tex.z-dn.net/?f=p%5E4-119p%5E2-%2868%29%5E2%3D0)
Let ![x=p^2](https://tex.z-dn.net/?f=x%3Dp%5E2)
![x^2-119x-4624=0](https://tex.z-dn.net/?f=x%5E2-119x-4624%3D0)
![x=\dfrac{119\pm \sqrt{119^2+4\times 4624}}{2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B119%5Cpm%20%5Csqrt%7B119%5E2%2B4%5Ctimes%204624%7D%7D%7B2%7D)
![x=\frac{119\pm 180.71}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B119%5Cpm%20180.71%7D%7B2%7D)
we take only Positive value because ![p^2=x](https://tex.z-dn.net/?f=p%5E2%3Dx)
x=149.85
![p^2=149.85](https://tex.z-dn.net/?f=p%5E2%3D149.85)
thus ![p=\pm 12.24](https://tex.z-dn.net/?f=p%3D%5Cpm%2012.24)
![q=\pm 4.90](https://tex.z-dn.net/?f=q%3D%5Cpm%204.90)
thus,
![\sqrt{119+120 i}=\pm (12.24+i 4.90)](https://tex.z-dn.net/?f=%5Csqrt%7B119%2B120%20i%7D%3D%5Cpm%20%2812.24%2Bi%204.90%29)
Answer:
20
Step-by-step explanation:
set a proportion
16 x
____ = ______
80 100
by doing this you can cross multiply the terms
80x=1600
divide both sides by 80
x=1600/ 80=20