Answer:
2,250 + 95n
Step-by-step explanation:
Cost of a food booth = 100 + 2n
Cost of 10 food booth = 10(100 + 2n)
= 1,000 + 20n
Cost of a game booth = 50 + 3n
Cost of 25 game booth = 25(50 + 3n)
= 1,250 + 75n
Total amount earned by the company = Cost of 10 food booth + Cost of 25 game booth
= (1,000 + 20n) + (1,250 + 75n)
= 1,000 + 20n + 1,250 + 75n
= 1,000 + 1,250 + 20n + 75n
= 2,250 + 95n
Total amount earned by the company = 2,250 + 95n
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
Answer:
That exterior angle is equal to 87 degrees.
Step-by-step explanation:
In order to find the measure of the exterior angle, we start by trying to find x. We can do this by adding up the 3 interior angles and setting them equal to 180. The first angle is equal to 43. The second angle is equal to x + 15. The third angle is equal to 180 - 3x (which we know because the angle and 3x is equal to 180). So we set equal to 180.
43 + (x + 15) + (180 - 3x) = 180 ----> Combine like terms.
238 - 2x = 180 -----> Subtract 238
-2x = -58 ----> Divide by -2
x = 29
Now that we have the x value, we can plug into the exterior angle measure to get the value.
3x = 3(29) = 87 degrees
