Answer:
22$
Step-by-step explanation:
1) divide the 55 by 5 to get 11, thats how much 1/5 of 55 is worth
2) multiply by 3 and get 33, thats 3/5 of 55 aka how much was spent
3) Subtract 33 from 55 and get 22, thats 2/5 or the amount she saved
1.) answer: 5
Steps subtract 3 from both sides 8-3 is 5 so x is 5
2.) answer: -12
Because the 4 is positive you subtract it on the other side to cancel it out and -4 +-8 is -12 so x is -12
Answer:
Step-by-step explanation:
IN slope intercept form
3y = 2x + 9
y = ( 2x + 9)/3
y = 2/3 x + 3
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)