Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
= 
Therefore, cos(a + b) = 
3
pound of strawberry
Step-by-step explanation:
Given parameters:
Pounds of strawberry picked by Lexi =2 
Pounds of strawberry eaten by Lexi sister = 
Unknown:
Pound of strawberry Lexi's sister ate = ?
Solution:
This is a fraction word problem.
Let pound of strawberry eaten by Lexi's sister = K
We can establish that:
Pound of strawberry eaten by Lexi sister x K = Pound of strawberry picked by Lexi
Mathematically we have:
x K = 2 
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K =
= 
K = 3
pound of strawberry
Answer:
x = 75
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for x
x = 180° - (60 + 45)° = 180 - 105° = 75°
I assume you're asking for the scale? It would be 4:64, which simplifies to 1:16.
What is your grade level and which curriculum are you using?