Answer:
16 ponies are displayed
Step-by-step explanation:
First you need to add 26 and 6 to get 32.Then you need to cut 32 in half or divide it by 2 for your answer.
Step 1: Convert
, which is in radians into degrees. To convert it multiply by ![\frac{180}{\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B%5Cpi%20%7D)
![\frac{5\pi }{12} =\frac{180}{\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B12%7D%20%3D%5Cfrac%7B180%7D%7B%5Cpi%20%7D)
900/12
75
Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value
cos45 = ![\frac{\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D)
cos30 =![\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
Step 3: Add the cos45 and cos30 to get cos5pi/12
![\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%7D%20%2B%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B%5Csqrt%7B2%7D%2B%5Csqrt%7B3%7D%7D%7B2%7D)
Hope this helped!
Answer:
65 degrees
Step-by-step explanation:
85 + 30 = 115
180 - 115 = 65
Verify:
a + b + c = 180
85 + 30 + 65 = 180
180 = 180
Answer:
1. Use the distributive property to get rid of any parenthesis.
2. Combine like terms
3. Move all variables to one side
4. Inverse operations