Answer:
the answer is 64
Step-by-step explanation:
Applying the trig formula: sin a = cos (90 - a)
cos (2x + 8) = sin (x + 37) = cos (90 - x - 37) = cos (53 - x)
Property of the cosine function -->
(
2
x
+
8
)
=
±
(
53
−
x
)
a. 2x + 8 = 53 - x
3x = 45
x
=
15
∘
b. 2x + 8 = - 53 + x
x
=
−
61
∘
For general answers, add
k
360
∘
Check by calculator.
x = 15 --> sin (x + 37) = sin 52 = 0.788
cos (2x + 8) = cos (38) = 0.788. Proved
x = - 61 --> sin (x + 37) = sin (- 24) = - sin 24 = - 0.407
cos (2x + 8) = cos (-122 + 8) = cos (- 114) = - 0.407. Proved
Answer:
60.75
Step-by-step explanation:
First, you need to see how much one rose costs.
33.75/15 is 2.25
Next, you need to find out how many 27 roses costs.
2.25*27 is 60.75
Now you have your answer.
Hope this helps and is right!
Because of the "x-5" in the absolute value, the pieces will separate at x=5, because that's where x-5 = 0.
(This knocks out answer #1, 3, and 4)
To confirm option #2 is correct:
If you pick a number greater than 5, the absolute value doesn't do anything, so
if x > 5, a(x) = (x-5) + 1
If you pick a number less than 5, "x-5" is negative and the absolute value gives you the opposite of that value:
if x < 5, a(x) = - (x-5) +1
The answer is the second option.
