To find the number between 77 and 177 use the formula (x+y)/2=halfway
(77+177)/2=127.
The number halfway between 77 and 177 is 127.
Hope this helps
A = 30 degrees
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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)
There are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.
Given a word of 4 letters of the word "SOLVE".
We are required to find the number of ways the four letters of the word SOLVE if no letter can be used more than once.
Permutation is an arrangement of objects in a definite order of things.
Factorial of a number is the product of it and its lesser numbers upto 1.
Number of letters=4
Number of ways=4!
=4*3*2*1
=24 ways
Hence there are 24 ways in which we can arrange 4 letters of the word "SOLVE" if no letter can be used more than once.
Learn more about factorial at brainly.com/question/25997932
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Answer:
they can each sit on floor by lining equally some can move back for example the shortest ones can sit medium tall can stand and the largest people can stand in the very back