First of all, we had best correct the labeling. The adjacent is the side making up the unknown angle, and the opposite is the side not making up the given angle (in this case, x)

So you have mixed up the opposite and the adjacent. You need to switch them.

Step Two (Bottom Diagram)

Sin(x) = opposite / hypotenuse

Sin(x) = 12 / 18

Sin(x) = 2/3

Sin(x) = 0.6666666666

x = sin-1(0.66666666)

x = 41.18103

Problem One (Top One)

Sin(x) = opp/hypotenuse

Sin(x) = 4/5

Sin(x) = 0.8

x = sin-1(0.8)

x = 53.13 Answer <<<<<

6 0

3 years ago

Determine whether the question

KiRa [710]

"<span>How much did your classmates typically spend on music downloads last year?" is a statistical question, and the units would </span>be both the number of students and how many downloads each individual bought.

4 0

3 years ago

Explain the error a student is asked to find when the value of an investment of $5200 is an account that earns 4.2% annual inter

zloy xaker [14]

We are given the following information

Investment = $5200

Annual interest rate = 4.2% = 0.042

Final amount = $16,500

Number of years = 27.7 years

Number of compoudings = quartely = 4

The student uses the following model

$V(t)=5200(1.014)^{3t}$

The general formula for compound interest is given by

$V(t)=P(1+\frac{r}{n})^{nt}$

As you can see, the number of compoundings is incorrect (3 vs 4)

The interest rate is also incorrect.

Let us substitute the given values into the above formula

$\begin{gathered} V(t)=P(1+\frac{r}{n})^{nt} \\ V(t)=5200(1+\frac{0.042}{4})^{4\cdot27.7} \\ V(t)=5200(1+0.0105)^{110.8} \\ V(t)=5200(1.0105)^{110.8} \\ V(t)=\$16543.5^{} \end{gathered}$

Therefore, the final amount is approximately $16,543.5

5 0

1 year ago