Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
In this situation, it is similar to a coin flip, so think about flipping a 2 sided chip, one side colored yellow the other blue, flipping the chip will result in a 50/50 chance for it to land on either side, so no matter how many times you flip it it will always be a 1/2 chance of it being on one of the sides
The answer is B. 8x+6. You multiple 3 and x+4 then combine like terms
Answer:
The principal amont was $35,000
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:

We want to find P. So





The principal amont was $35,000
Answer:
7.405882353 years
Step-by-step explanation:
Simple interest is
A = P(1+rt)
Where A is the amount in the account
P is the principle invested
r is the rate and
t is the time
6593.75 = 5000( 1+ .0425*t)
Divide each side by 5000
6593.75/5000 = ( 1+ .0425*t)
1.31475 = ( 1+ .0425*t)
Subtract 1 from each side
.31475 = .0425t
Divide each side by.0425
.31475/.0425 = .0425t/.0425
7.405882353 = t
7.405882353 years