The altitude is the mean proportional between the left and right parts of the hyptenuse
20/m = m/8
m² = 20 · 8
m² = 160
m = √160
m = 4√10
Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
Answer:
#3=51. #5=85
Step-by-step explanation:
#3. PEMDAS
(2-10×6)-7
PARENTHESIS FIRST
MULTIPLICATION FIRST
10×6=60
60-2=58
58-7=51
#5. PEMDAS
(12-11)+12×7
PARENTHESIS FIRST
12-11=1
1+12×7
MULTIPLICATION FIRST
12×7=84
84+1=85
6 people went to the water park and the total was $144. If they were all charged the same, simple divide 144 by 6.
Answer: $24 a person.
0.6195 I hope that is what it would be
