The dress is 15% off. You can find this by subtracting 85% from 100%.
You then do 34x15% in order to find the dollar amount that was taken off
34x15%=5.1
You can then add this dollar amount to the price paid in order to find the original price
34+5.1= $39.10
This could also be solved by doing 34+15% which is equal to 39.10
There is 128 ounces in one gallon. So for two it would be 256 oz. He bought 256 oz.
Then since it’s $28.16 just divide that by 256 oz which would give you $.11.
So $0.11 per fluid ounce.
The degree of a quadratic equation is always 2
The substitution that rewrites
as a quadratic equation is ![u = x^4](https://tex.z-dn.net/?f=u%20%3D%20x%5E4)
The equation is given as:
![x^8 - 3x^4 +2 = 0](https://tex.z-dn.net/?f=x%5E8%20-%203x%5E4%20%2B2%20%3D%200)
Express 8 as 4 * 2
![x^{4 \times 2} - 3x^4 +2 = 0](https://tex.z-dn.net/?f=x%5E%7B4%20%5Ctimes%202%7D%20-%203x%5E4%20%2B2%20%3D%200)
Rewrite the equation as:
![(x^{4})^2 - 3x^4 +2 = 0](https://tex.z-dn.net/?f=%28x%5E%7B4%7D%29%5E2%20-%203x%5E4%20%2B2%20%3D%200)
Represent x^4 with u.
So, the equation becomes
![u^2 - 3u +2 = 0](https://tex.z-dn.net/?f=u%5E2%20-%203u%20%2B2%20%3D%200)
Notice that the above equation has a degree of 2.
Hence, the substitution is ![u = x^4](https://tex.z-dn.net/?f=u%20%3D%20x%5E4)
Read more about quadratic equation at:
brainly.com/question/17210919
Firstly, subtract 2 from all sides of this inequality: ![10](https://tex.z-dn.net/?f=%2010%3C2x%20%5Cleq%2020%20)
Next, divide by 2 on all sides of the inequality and <u>your answer will be
</u>
Answer:
5.006
41.056
31.289
51.977
7.884
Step-by-step explanation:
1) sin x = opposite side / hypotenuse
sin 24.3° = 2.06 / hyp
hyp = 2.06 / sin 24.3 = 5.<u>0059</u>006616019108320511866543651
rounding to 3 significant figures
= 5.006
2)cos x = adjacent side / hypotenuse
cos 47 = 28 / x
x = 28 / cos 47 = 41.<u>0558</u>17197909497891901840157945
= 41.056
3) cos x = adjacent side / hypotenuse
cos 56.1 = x / 56.1
x = 56.1 * cos 56.1 = 31.<u>2895</u>00613760617368691451544764
= 31.289
4) tan x = opposite side / adjacent side
tan 68 = x / 21
x = 21 * tan 68 = 51.<u>9768</u>239217422123300402781676
= 51.977
5) sin x = opposite side / hypotenuse
sin 21 = x / 22
x = 22 * sin 21 = 7.<u>8840</u>948899966060166510313670963
= 7.884