Answer:
Since we know that,
cos2x= cos²x-sin²x=(cosx-sinx)(cosx+sinx)
And, sin2x=2sinx.cosx
Therefore,
1-sin2x= cos²x+sin²x-2sinx.cosx
1-sin2x= (cosx-sinx)²
Then let
y=cos2x/(1-sin2x)
Answer:
The relationship symbol that makes the statement true is '>'.
Step-by-step explanation:
Given,
In triangles ABC and EDF,
∠A = ∠D
Since, the sum of all interior angles of a triangle is supplementary,
⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°
⇒ ∠A = 180° - ∠B - ∠C and ∠D = 180° - ∠E - ∠F,
By substituting the values,
180° - ∠B - ∠C = 180° - ∠E - ∠F
- ∠B - ∠C = - ∠E - ∠F
∠B + ∠C = ∠E + ∠F
∠B + 20° = ∠E + 30° ( given ∠C = 20° and ∠F = 30° )
∠B = ∠E + 10°
⇒∠B > ∠E
Hence, the relationship symbol that makes the statement true would be '>'.
The change from -1.50 to -2.75 indicates an increase in the cost of the meals. Consequently, Gloria's lunch account balance will deplete faster now.
In the context of this problem, f(x) = –1.50x + 40 represents how much money Gloria has left in her lunch account after purchasing x number of meals. The coefficient of x, -1.50, indicates the cost per meal. If –1.50 changed to –2.75, it would mean that the cost of each meal has increased from $1.50 to $2.75. Consequently, Gloria's account balance would decrease faster, signifying that less meals can now be purchased with the same amount of money.
#SPJ2
A. 28.5 ft^2
B. 11 ft^2
C. 22 ft^2
cos(135)
and then take the reciprocal
Answer:
1-7i
17i
14
Step-by-step explanation:
7-5i-6-2i=1-7i
1+9i-1+8i=17i
3i+14-3i=14