Answer and Step-by-step explanation:
Solve for b.
A = ![(\frac{1}{2}) (h)(a+b)](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7D%29%20%28h%29%28a%2Bb%29)
Divide by h and multiply by 2 from both sides.
![\frac{2A}{h} = a+ b](https://tex.z-dn.net/?f=%5Cfrac%7B2A%7D%7Bh%7D%20%3D%20a%2B%20b)
Subtract a from both sides.
![(\frac{2A}{h} ) - a = b](https://tex.z-dn.net/?f=%28%5Cfrac%7B2A%7D%7Bh%7D%20%29%20-%20a%20%3D%20b)
The school sold 56 early admission tickets.
Step-by-step explanation:
To figure this out, you can multiply 80 by 0.7 and get the amount of early admission tickets that way.
If you wanted too, you could also do it by figuring out what 10% of 80 is (which is 8) and multiply that by 7 if that's easier for you.
The second one orate 3rd one
The answer to this question is 36
Answer:
is the degrees value of
.
Step-by-step explanation:
We are given the following details about the angle
:
![\theta =\dfrac{8\pi}{9}\text{ radians}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Cdfrac%7B8%5Cpi%7D%7B9%7D%5Ctext%7B%20radians%7D)
It is know that the relation between radians and degree units is as follows:
![\pi \text{ radians} = 180 ^\circ](https://tex.z-dn.net/?f=%5Cpi%20%5Ctext%7B%20radians%7D%20%3D%20180%20%5E%5Ccirc)
We can use simply use unitary method to convert radian value of
to degrees.
![\pi \text{ radians} = 180 ^\circ](https://tex.z-dn.net/?f=%5Cpi%20%5Ctext%7B%20radians%7D%20%3D%20180%20%5E%5Ccirc)
![\Rightarrow 1 \text { radian}= \dfrac{\pi}{180} ^\circ](https://tex.z-dn.net/?f=%5CRightarrow%201%20%5Ctext%20%7B%20radian%7D%3D%20%5Cdfrac%7B%5Cpi%7D%7B180%7D%20%5E%5Ccirc)
![\Rightarrow \dfrac{8\pi}{9} \text{ radians} = \dfrac{180}{\pi} \times \dfrac{8\pi}{9} ^\circ\\\Rightarrow \dfrac{180 \times 8}{9}^\circ\\\Rightarrow 20 \times 8^\circ\\\Rightarrow 160 ^\circ](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B8%5Cpi%7D%7B9%7D%20%5Ctext%7B%20radians%7D%20%3D%20%5Cdfrac%7B180%7D%7B%5Cpi%7D%20%5Ctimes%20%5Cdfrac%7B8%5Cpi%7D%7B9%7D%20%5E%5Ccirc%5C%5C%5CRightarrow%20%5Cdfrac%7B180%20%5Ctimes%208%7D%7B9%7D%5E%5Ccirc%5C%5C%5CRightarrow%2020%20%5Ctimes%208%5E%5Ccirc%5C%5C%5CRightarrow%20160%20%5E%5Ccirc)
Hence, ![\theta = 160^\circ](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20160%5E%5Ccirc)