Translate each phrase into a numerical expression.

Mathematics

1 answer:

nataly862011 [7]3 years ago

5 0

20^2 - 13^2
(difference is just minus)

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Find the terminal point on the unit circle determined by 11pi/6 radiants

irga5000 [103]

Answer:

$(\frac{\sqrt{3}}{2},-\frac{1}{2})$

Step-by-step explanation:

The unit circle has the parametric equation:

$x=\cos \theta$

$y=\sin \theta$

where $\theta=\frac{11\pi }{6}$ in our case is the terminal side of the angle in standard position.

We substitute to get:

$x=\cos \frac{11\pi }{6}=\frac{\sqrt{3}}{2}$

$y=\sin \frac{11\pi }{6}=-\frac{1}{2}$

$\therefore (\frac{\sqrt{3}}{2},-\frac{1}{2})$ is the required point.

6 0

3 years ago

Help me with this please.

andriy [413]

1. bc/3 + a/xy + 3/ab
= b^2cxya + 3a^2b + 9xy/3xyab

2. (5/3y) + 2y - 12
=11/3y - 2

3. ?

Hope this helps and right! :)) Good luck

4 0

3 years ago

Compound interest <br> Plz help!!!

liraira [26]

Answer:

a) $A(t) = 17500(1.0053)^{12t}$

b) The balance after 8 years will be of $29,069.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Loan of $17,500 means that $P = 17500$