Answer:
Directions: Find the missing measures in each figure. Keep the ... m<B+42 = 90. MLB-48. 8. ... x = 5. X = 14. MCR = 1215)-3 = 57° m<Q = 9614)-3-123°. 16. 21 and 22 form a linear pair. The ... 1. 5. 2. 6. 3. 7. 4. 8 p q. Examples' name the type of angle relationship. ... (4017)+3)+5y+35=180 ... Directions: Find x so that a || b.
Step-by-step explanation:
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) = 
Answer: 1008 letters
Step-by-step explanation:
From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:
= 1 - (1/6 + 1/12)
= 1 - (3/12)
= 9/12 = 3/4
We will now multiply 3/4 by 1344 to get the number of letters delivered.
= 3/4 × 1344
= 1008 letters
263.25 is the volume of the box in inches cubes you have to multiply 4.5 by 9 by 6.5