3. 3.1, 3 1/4, 3 3/10
4. 5.5 ft, 70 inches (5.8 ft), 2 yards (6 ft)
The tip is $15.73. I get that by multiplying 78.63 and .20. then you add the tip to the bill and get $94.36. you then find the discount by multiplying 94.36 and .15. the discount is 14.15. then subtract 14.15 from 94.36 to get your total.
the answer is $80.21
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:
7/10
Step-by-step explanation:
87/10-x=8
80/10=8,
87/10-8-x=0
7/10=x
so the answer is 7/10
Answer: Choice A) Slope = -1
==============================================
Explanation:
The two points given to us are (x1,y1) = (0,-2) and (x2,y2) = (2,-4)
Subtract the y coordinates
y2-y1 = -4-(-2) = -4+2 = -2
Subtract the x coordinates in the same order
x2-x1 = 2-0 = 2
Divide the two results to get the slope m
m = (y2-y1)/(x2-x1)
m = -2/2
m = -1