Sin θ=sqrt(1-<span>cos^2 θ)
</span>sin θ=sqrt[1-(5/13)^2]
sin θ=sqrt[1-(5)^2/(13)^2]
sin θ=sqrt[1-25/169]
sin θ=sqrt[(169-25)/169]
sin θ=sqrt(144/169)
sin θ=sqrt(144)/sqrt(169)
sin θ=12/13
Answer: Second option 12/13
Answer:
You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Step-by-step explanation:
Using the formula

where
I = Interest earned
P = The principal (let say in $)
r = The Interest Rate
t = time
Given that
- P = The principal amount needed to invest (let say in $)
Thus,

100 = P × 5% × 1
100 = P × 5/100 × 1
100 × 100 = P × 5
10000 = P × 5
P = 10000/5
= 2000 (let say in $)
Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Answer:
7, -7
Step-by-step explanation:
x^2-6.5= 42.5 add 6.5 to both sides
x^2= 49
The square root of 49 is 7 and -7.
Question number 10 is the same as the previous questions add them up and make them equal to 180 degrees, and then solve for the x variable.
For the second part of the question, simply plug in the value of x for each expression for R and S.