Answer: x=56°
The opposite angle of 56° and the opposite angle of ∠x are alternate angles.
Answer: Cost of each ball , $3.
Cost of each bat , $35 .
Total money spend , $131 .
She buys twice as many balls as bats.
Tax , $8 .
To Find :
The number of bats she buys .
Solution :
Let , x represent the number of bats she buys.
So , number of balls she buys is 2x .
Therefore , number of bats she buys is 3 .
Hence , this is the required solution .
Step-by-step explanation:
Ur graph is increasing (going up)
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....
