First let's find the angles a and b.
We have then:
sin a = 4/5
a = Asin (4/5)
a = 53.13 degrees.
cos b = 5/13
b = Acos5 / 13
b = 67.38 degrees.
We now calculate cos (a + b). To do this, we replace the previously found values:
cos ((53.13) + (67.38)) = - 0.507688738
Answer:
-0.507688738
Note: there is another way to solve the problem using trigonometric identities.
The answer is B because the question states that the temperature at noon was 8 degrees below zero Celcius. 8 degrees below zero Celcius is written as -8 degrees.
Answer:
45 green beads
.
Step-by-step explanation:
Let the number of red beads be 'x'
Given that, Carrie has 3 times as many green beads as red beads
Number of green beads = 3 times number of red beads
Number of green beads = 3x
She 2 as many blue beads as green beads
Number of blue beads = 2 times the number of green beads
Number of blue beads = 2(3x) = 6x
She has 150 total
Therefore,
Number of red beads + Number of green beads + Number of blue beads = 150
x + 3x + 6x = 150
10x = 150
x = 15
Thus, number of green beads = 3x = 3(15) = 45
Thus there are 45 green beads
I hope this helps
Answer:8q+7/12
Step-by-step explanation: