Lets price of article = x
Tax is 8% of article = 0.08x
x+0.08x=7.02
1.08x=7.02
x=7.02/1.08
x=6.5
The retail price is $6.50.
Answer: Option d.
Step-by-step explanation:
The trigonometric identity needed is:
![csc^2\theta=cot^2\theta+1](https://tex.z-dn.net/?f=csc%5E2%5Ctheta%3Dcot%5E2%5Ctheta%2B1)
Knowing that
:
Substitute it into
:
![csc^2\theta=(\frac{4}{3})^2+1](https://tex.z-dn.net/?f=csc%5E2%5Ctheta%3D%28%5Cfrac%7B4%7D%7B3%7D%29%5E2%2B1)
Simplify the expression:
![csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}](https://tex.z-dn.net/?f=csc%5E2%5Ctheta%3D%28%5Cfrac%7B4%7D%7B3%7D%29%5E2%2B1%5C%5C%5C%5Ccsc%5E2%5Ctheta%3D%5Cfrac%7B16%7D%7B9%7D%2B1%5C%5C%5C%5Ccsc%5E2%5Ctheta%3D%5Cfrac%7B25%7D%7B9%7D)
Solve for
. Apply square root at both sides of the expression:
![\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}](https://tex.z-dn.net/?f=%5Csqrt%7Bcsc%5E2%5Ctheta%7D%3D%5C%C2%B1%5Csqrt%7B%5Cfrac%7B25%7D%7B9%7D%7D)
![csc\theta=\frac{5}{3}](https://tex.z-dn.net/?f=csc%5Ctheta%3D%5Cfrac%7B5%7D%7B3%7D)
Yes it would be 2 and 1/6
2(a+3) + 3(2a-1)
First, let's use the distributive property to expand 2(a+3):
2(a+3) = 2*a + 2*3 = 2a + 6
Let's use the distributive property now to expand 3(2a-1):
3(2a - 1) = 3*2a - 3*1 = 6a - 3
So 2(a+3) + 3(2a-1) = 2a + 6 + 6a - 3
Now you calculate variables between each others, and numbers between each others:
2a + 6 + 6a - 3 = 2a + 6a + 6 - 3 = 8a + 3
So the simplified form of 2(a+3) + 3(2a-1) is 8a + 3.
Hope this Helps! :)
Answer:
2
Step-by-step explanation:
5-3=2 it's simple really