Answer:
c=35
Step-by-step explanation:
c=180-d
c=180-145
c=35
Answer:
63
Step-by-step explanation:
Each term in a geometric sequence progresses by multiplying a constant (let us name it <u>r</u>).
Let us<u> solve for this constant</u> r in order to find the 13th term.
If the seventh term is 7, the tenth term would be 7*r*r*r, or
. We also happen to know that the 10th term is 21. Let us make a <u>new equation</u>:
![7r^{3} =21\\r^{3}=3\\r= \sqrt[3]{3}](https://tex.z-dn.net/?f=7r%5E%7B3%7D%20%3D21%5C%5Cr%5E%7B3%7D%3D3%5C%5Cr%3D%20%5Csqrt%5B3%5D%7B3%7D)
or, approx. 1.442249570307408
Using the same logic, the 13th term would be 7*r*r*r*r*r*r, or
. We may now <u>substitute</u> what we know, r, into this expression to obtain the 13th term:
![7*\sqrt[3]{3}^{6} = \\7*3^{2}=\\7*9=\\63](https://tex.z-dn.net/?f=7%2A%5Csqrt%5B3%5D%7B3%7D%5E%7B6%7D%20%3D%20%5C%5C7%2A3%5E%7B2%7D%3D%5C%5C7%2A9%3D%5C%5C63)
Therefore, the 13th term of this progression is 63.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
Answer:
The correct answer is C.
Step-by-step explanation:
The given equation is;
![r=\frac{1}{1-\sin(\theta)}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B1%7D%7B1-%5Csin%28%5Ctheta%29%7D)
This implies that;
![r(1-\sin(\theta)=1](https://tex.z-dn.net/?f=r%281-%5Csin%28%5Ctheta%29%3D1)
![r-r\sin(\theta)=1](https://tex.z-dn.net/?f=r-r%5Csin%28%5Ctheta%29%3D1)
Let us write in Cartesian coordinates by substituting;
![r=\sqrt{x^2+y^2} ,y=r\sin(\theta)](https://tex.z-dn.net/?f=r%3D%5Csqrt%7Bx%5E2%2By%5E2%7D%20%2Cy%3Dr%5Csin%28%5Ctheta%29)
![\sqrt{x^2+y^2}-y=1](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%2By%5E2%7D-y%3D1)
![\sqrt{x^2+y^2}=y+1](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%2By%5E2%7D%3Dy%2B1)
Square both sides;
![(\sqrt{x^2+y^2})^2=(y+1)^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bx%5E2%2By%5E2%7D%29%5E2%3D%28y%2B1%29%5E2)
This implies that;
![x^2+y^2=y^2+2y+1](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3Dy%5E2%2B2y%2B1)
![x^2=2y+1](https://tex.z-dn.net/?f=x%5E2%3D2y%2B1)
![y=\frac{1}{2}x^2-\frac{1}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%5E2-%5Cfrac%7B1%7D%7B2%7D)
This is an equation of a parabola that opens upwards with a y-intercept of
.
The correct choice is C
Less because l don't be yelling at me what's wrong wit you.
Answer:
C
Step-by-step explanation:
Substitute a number that adds to make -8. Since -3 + -5 = -8, answer C is the correct choice.