Since this is a right triangle and we have an angle and a side we can solve for any other side by using sohcahtoa. Now lets look at what we know we have the angle 35 degrees and the side adjacent to the angle is 10. we are looking for the side opposite to the angle. so we need a formula that uses opposite and adjacent that is toa, tan(angle)=oppisite/adjacent
now lets plug in tan(35)=x/10
x=10*tan(35)
x=7.002 now round to nearest tenth
x=7.0
Answer:
You will have $1628.16 per month in discretionary money.
Step-by-step explanation:
In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.
Answer:
f^-1(x) = x - 2
Step-by-step explanation:
To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.
x = y + 2
-2 both sides.
x - 2 = y
y = x - 2
The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).
f^-1(x) = x - 2
I hope you find this helpful. :)
The formula that explain the arithmetic sequence is 
Step-by-step explanation:
The formula of the nth term in an arithmetic sequence is
, where
- a is the first term
- d is the common difference between the consecutive terms
∵ 
, 
, 0 , 
are some terms of an arithmetic sequence
∵ The difference between two consecutive terms = -
∴ The difference between two consecutive terms = + 
=
∴ The common difference =
∴ d =
∵ The first term is
∴ a =
- Substitute a and d in the formula above
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴
The formula that explain the arithmetic sequence is
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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