Answer:
n = s/180 +2
Step-by-step explanation:
180(n-2)=s
Distribute
180n - 360 =s
Add 360 to each side
180n -360+360 = s+360
180n = s+360
Divide each side by 180
180n/180 = s/180 + 360/180
n = s/180 +2
<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
Answer:
∠ MON = 128°
Step-by-step explanation:
∠ LOM + ∠MON = ∠ LON , substitute values
3x + 43 + 8x + 104 = 180, that is
11x + 147 = 180 ( subtract 147 from both sides )
11x = 33 ( divide both sides by 11 )
x = 3
Thus
∠ MON = 8x + 104 = 8(3) + 104 = 24 + 104 = 128°
Answer:
160pi
Step-by-step explanation:
the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi
