Answer:

Step-by-step explanation:
We want to write the trignometric expression:

As an algebraic equation.
First, we can focus on the inner expression. Let θ equal the expression:

Take the secant of both sides:

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

By substitutition:

Using an double-angle identity:

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

Simplify. Therefore:

1). Her walking pace is (1.75 miles) / (50 minutes).
If you want it in units of (miles per hour), do it like this:
(1.75 miles / 50 minutes) x (60 minutes / 1 hour)
= ( 1.75 x 60 / 50 ) miles per hour.
2). The average change was
(30 - 45) degrees / (5 minutes) .
I'm sure you can do the division and make an integer out of that.
3). Each bracelet cost $3.10.
Caroline bought five of them, so she spent $3.10 five times.
Either do the multiplication, or else write down $3.10 five times
and do the addition.
4). In order to factor the expression, the two terms would need
to have some common factor ... both terms need either a power
of 'x', or they need two numbers that have a common factor.
They don't both have an 'x', and 13 and 10 have no common factor.
5). Todd earned 'T' dollars.
Twice what Todd earned is 2T .
$350 more than that is 2T+350 .
The question says that 2,500 is exactly that amount,
so you can write
2T + 350 = 2,500
Subtract 350 from each side: 2T = 2,150
Divide each side by 2: (you can finish it now)
Answer:
(A) The odds that the taxpayer will be audited is approximately 0.015.
(B) The odds against these taxpayer being audited is approximately 65.67.
Step-by-step explanation:
The complete question is:
Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
A. What are the odds that the taxpayer will be audited?
B. What are the odds against such tax payer being audited?
Solution:
The proportion of U.S. taxpayers who were audited is:
P (A) = 0.015
Then the proportion of U.S. taxpayers who were not audited will be:
P (A') = 1 - P (A)
= 1 - 0.015
= 0.985
(A)
Compute the odds that the taxpayer will be audited as follows:


Thus, the odds that the taxpayer will be audited is approximately 0.015.
(B)
Compute the odds against these taxpayer being audited as follows:


Thus, the odds against these taxpayer being audited is approximately 65.67.
The first one is 10ab + 20
Divide sales tax amount over the item's cost
23.1 / 330 = 0.07
Therefore the sales tax is 7%