5/8 divided by 20 equals 0.03125
Answer:
D. y = −2(x + 10)
Step-by-step explanation:
i hope this helps you
Answer:
1) ![\sqrt{\frac{-9}{16}}=\pm\frac{3}{4}i](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B-9%7D%7B16%7D%7D%3D%5Cpm%5Cfrac%7B3%7D%7B4%7Di)
2) ![\sqrt[3]{-0.000125}=-0.05](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-0.000125%7D%3D-0.05)
3) ![\sqrt{(36g^6)}=6(g^3)](https://tex.z-dn.net/?f=%5Csqrt%7B%2836g%5E6%29%7D%3D6%28g%5E3%29)
4) ![\sqrt[3]{125x^{21}y^{24}}=5(x^{7})(y^{8})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125x%5E%7B21%7Dy%5E%7B24%7D%7D%3D5%28x%5E%7B7%7D%29%28y%5E%7B8%7D%29)
5) ![\sqrt{\frac{27x^4}{75y^2}}=\frac{3(x^2)}{5y}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B27x%5E4%7D%7B75y%5E2%7D%7D%3D%5Cfrac%7B3%28x%5E2%29%7D%7B5y%7D)
Step-by-step explanation:
To find : The following expression
1) Find all the real square roots of -9/16.
![\sqrt{\frac{-9}{16}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B-9%7D%7B16%7D%7D)
There is no real roots because
is an imaginary number
Therefore, ![\sqrt{\frac{-9}{16}}=\pm\frac{3}{4}i](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B-9%7D%7B16%7D%7D%3D%5Cpm%5Cfrac%7B3%7D%7B4%7Di)
2) Find all the real cube roots of -0.000125.
![\sqrt[3]{-0.000125}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-0.000125%7D)
There is a real roots.
Therefore, ![\sqrt[3]{-0.000125}=-0.05](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-0.000125%7D%3D-0.05)
3) Simplify ![\sqrt{(36g^6)}](https://tex.z-dn.net/?f=%5Csqrt%7B%2836g%5E6%29%7D)
![=\sqrt{(36g^6)}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%2836g%5E6%29%7D)
![=\sqrt{6^2(g^3)^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B6%5E2%28g%5E3%29%5E2%7D)
![=6(g^3)](https://tex.z-dn.net/?f=%3D6%28g%5E3%29)
Therefore, simplified form is ![\sqrt{(36g^6)}=6(g^3)](https://tex.z-dn.net/?f=%5Csqrt%7B%2836g%5E6%29%7D%3D6%28g%5E3%29)
4) Simplify ![\sqrt[3]{125x^{21}y^{24}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125x%5E%7B21%7Dy%5E%7B24%7D%7D)
![=\sqrt[3]{125x^{21}y^{24}}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B125x%5E%7B21%7Dy%5E%7B24%7D%7D)
![=\sqrt[3]{5^3(x^{7})^3(y^{8})^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B3%5D%7B5%5E3%28x%5E%7B7%7D%29%5E3%28y%5E%7B8%7D%29%5E3%7D)
![=5(x^{7})(y^{8})](https://tex.z-dn.net/?f=%3D5%28x%5E%7B7%7D%29%28y%5E%7B8%7D%29)
Therefore, simplified form is ![\sqrt[3]{125x^{21}y^{24}}=5(x^{7})(y^{8})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125x%5E%7B21%7Dy%5E%7B24%7D%7D%3D5%28x%5E%7B7%7D%29%28y%5E%7B8%7D%29)
5) Simplify ![\sqrt{\frac{27x^4}{75y^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B27x%5E4%7D%7B75y%5E2%7D)
![=\sqrt{\frac{27x^4}{75y^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B27x%5E4%7D%7B75y%5E2%7D)
(Divide nr. and dr. by 3)
![=\sqrt{\frac{3^2(x^2)^2}{5^2y^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7B3%5E2%28x%5E2%29%5E2%7D%7B5%5E2y%5E2%7D)
![=\frac{3(x^2)}{5y}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B3%28x%5E2%29%7D%7B5y%7D)
Therefore, simplified form is ![\sqrt{\frac{27x^4}{75y^2}}=\frac{3(x^2)}{5y}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B27x%5E4%7D%7B75y%5E2%7D%7D%3D%5Cfrac%7B3%28x%5E2%29%7D%7B5y%7D)
Answer:
3
Step-by-step explanation:
Angle 1 is a supplement of angle 2, and m angle 1 is 123 degrees. Angle 2 is a complement of angle 3. Find m angle 3.
The biggest it can be is 110 by 110, and the area would be 2,100 ft.
Hope this helps!