Answer:
Step-by-step explanation:
85!/82! = 85*84*83 = 592620
n choose 0 is always equals 1
n P n also always equals 1
Let X = pounds of Bermuda grass needed.
(20 pounds bahia grass x $6.30) + ( X x $3.65) = (20 +X) x $4.90
Simplify:
126 + 3.65X = 98 + 4.90X
Subtract 3.65X from each side:
126 = 98 + 1.25X
Subtract 98 from each side:
28 = 1.25X
Divide both sides by 1.25
X = 28 / 1.25
X = 22.4 pounds required.
Answer:
107°
73°
Step-by-step explanation:
Let the two supplementary angles be x° and y°.
x + y = 180....(1)
Since, supplementary angles differ by 34.
Therefore,
x - y = 34....(2)
Adding equations (1) & (2)
x + y = 180
x - y = 34
_________
2x = 214
x = 214/2
x = 107°
Plug x = 107 in equation (1)
107 + y = 180
y = 180- 107
y = 73°
Answer:
x ≈ 52.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan x = 
= 
= 
, then
x = 
( ) ≈ 52.1° () to the nearest tenth )
