Answer:
![\frac{\sqrt{5}-\sqrt{2} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B5%7D-%5Csqrt%7B2%7D%20%20%7D%7B3%7D)
Step-by-step explanation:
![\frac{1}{\sqrt{5} + \sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B5%7D%20%2B%20%5Csqrt%7B2%7D%20%7D)
![\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B5%7D%20%2B%20%5Csqrt%7B2%7D%20%7D%20%2A%20%5Cfrac%7B%5Csqrt%7B5%7D%20-%20%5Csqrt%7B2%7D%20%20%7D%7B%5Csqrt%7B5%7D%20-%20%5Csqrt%7B2%7D%20%7D)
![\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B5%7D%20-%20%5Csqrt%7B2%7D%20%7D%7B%28%5Csqrt5%29%5E%7B2%7D%20-%20%5Csqrt%7B2%7D%29%5E2%20%7D%20%7D)
![\frac{\sqrt{5} - \sqrt{2} }{5-2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B5%7D%20-%20%5Csqrt%7B2%7D%20%20%7D%7B5-2%7D)
![\frac{\sqrt{5}-\sqrt{2} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B5%7D-%5Csqrt%7B2%7D%20%20%7D%7B3%7D)
Answer:
1.313832 × 10 to the power of 2
Step-by-step explanation:
Answer:
The value of cos Ф is ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
There are important rules for sin Ф and cos Ф
∵ sin Ф = ![\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
∴ sin²Ф = ![(\frac{\sqrt{3}}{2})^{2}](https://tex.z-dn.net/?f=%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%29%5E%7B2%7D)
∴ sin²Ф = ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
→ By using the third rule above
∵ cos²Ф = 1 - sin²Ф
∴ cos²Ф = 1 - ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
∴ cos²Ф = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
→ Take square root for both sides
∴ cos Ф = ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
∴ The value of cos Ф is ± ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
- First, the radical needs to be alone on one side of the equation, if there is - 4, - 3 next to it then you'll have to transfer it to the opposite side like that:
5. (y+7)^0.5 - 4=4
(y+7)^0.5=8......
- Second, you need to square the two sides of the equation :
5.((y+7)^0.5) ^2=8^2
Y+7=64
Y+7-7=64-7
Y=57
Note: if the radical's index is (2) then you'll square the two sides of the equation, but if the index is (3) you'll have to cube the two sides of the equation, "look at the exercises 9,10"
257.5 I believe. Explanation) If she receives 3% of $250, then she will receive $7.50. Then you have to add that to $250 because that will still be in the account.