Answer: Ф = 20
Step-by-step explanation:
sin2Ф = cos (Ф+ 30 )
if sinα = cosβ , then α and β are complementary ,that is they add up to be 
.
Therefore : 2Ф + Ф + 30 = 90
3Ф + 30 = 90
3Ф = 90 - 30
3Ф = 60
Ф = 20
Simple interest is given by the formula:
S.I=PRT/100
where:
P=principle
R=rate
T=time
From the information given:
P=$200, r=5%, t=3 years.
Plugging into the formula we obtain:
A=200×5/100×3
simplifying we obtain:
A=$30
Answer is: A] $30
Answer:
All 4 are solutions to the inequality.
Step-by-step explanation:
What we know:
The inequality requires that 48/f is less than or equal to 46.
Plug in each of the choices to see if that will work
48/12 ≤ 46
4 ≤ 46, so f = 12 will work.
48/-12 ≤ 46
-4 ≤ 46, so f = -12 will also work.
48/-3 ≤ 46
-16 ≤ 46, so f = -3 will work as well.
48/8 ≤ 46
6 ≤ 46, so f = 8 will work as well.
Since all 4 work, that means you should check all 4 choices on the question.
The dimensions can vary. Here is a picture of a triangular prism with a right-triangle base.
