Answer:
Step-by-step explanation:
To do this, we must use the unit circle. At the angle the coordinate pair is (
,
) and the hypotenuse is 1
Now that we know these we can start using the trig functions
sin = y
cos = x
tan =
And the other functions would be the reciprocal of these
csc =
sec =
cot =
This would mean that
sinx =
cosx =
tanx = or
if you're supposed to rationalize your denominators
cscx = 2
secx = or
cot =
Answer:
The distance between the end of the ramp and the bottom of the platform is about 9.8 feet
Step-by-step explanation:
use the pythagorean theorem (a²+b²=c²) to solve
a and b are the legs, c is the hypotenuse
plug in given values:
2² + x² = 10²
solve for x:
x² + 4 = 100
x² = 96
x ≈ 9.80
Answer:
The balance of account at the end of 36 years is $31,849.29
Step-by-step explanation:
We are given the following in the question:
P = $3,300
r = 6.5% = 0.065
t = 36 years
The compound interest is given by:
where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.
Since interest is compounded annualy we use n = 1
Thus, balance of account at the end of 36 years is $31,849.29