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4 years ago

What is the sine value of pi over 6?

Mathematics

2 answers:

KiRa [710]4 years ago

7 0

The answer is .5 or 1/2

Anestetic [448]4 years ago

3 0

Answer:

The sine value of pi over 6 is:

$\dfrac{1}{2}$ or 0.5

Step-by-step explanation:

we have to find the value of $sin\dfrac{\pi}{6}$

we know that value of $sin\dfrac{\pi}{6}$ is $\dfrac{1}{2}$

Hence, the sine value of pi over 6 is:

$\dfrac{1}{2}$ or 0.5

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Given that f(x)=x^2+3x+6 and g(x)= x-3/2, solve for f(g(x)) when x=1

podryga [215]

If you would like to solve for f(g(x)) when x = 1, you can do this using the following steps:

f(x) = x^2 - 3x + 6
g(x) = x - 3/2

f(g(x)) = f(x - 3/2) = (x - 3/2)^2 - 3 * (x - 3/2) + 6
x = 1
f(g(1)) = f(1 - 3/2) = f(-1/2) = (-1/2)^2 - 3 * (-1/2) + 6 = 1/4 + 3/2 + 6 = 1/4 + 6/4 + 24/4 = 31/4 = 7 3/4

The correct result would be 7 3/4. add me as a friend

4 0

3 years ago

mihalych1998 [28]

To solve this we are going to use the future value of annuity due formula: $FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]$
where
$FV$ is the future value $P$ is the periodic payment $r$ is the interest rate in decimal form $n$ is the number of times the interest is compounded per year $k$ is the number of payments per year $t$ is the number of years

We know for our problem that $P=295$ and $t=6$ . To convert the interest rate to decimal for, we are going to divide the rate by 100%:
$r= \frac{10}{100}$
$r=0.1$
Since the payment is made quarterly, it is made 4 times per year; therefore, $k=4$ .
Since the type of the annuity is due, payments are made at the beginning of each period, and we know that we have 4 periods, so $n=4$ .
Lets replace those values in our formula:

$FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]$
$FV=(1+ \frac{0.1}{4} )*295[ \frac{(1+ \frac{0.1}{4} )^{(4)(6)} -1}{ \frac{0.1}{4} } ]$
$FV=9781.54$

We can conclude that the amount of the annuity after 10 years is $9,781.54

6 0

3 years ago

3. What is expressed in decimal form? a. 0.58 b. 5.8 c. 1.6 c d. 625

irga5000 [103]

Answer:

0.58

Step-by-step explanation:

because they are the Decimals

3 0

3 years ago

Find the value of Y for the function below when the value of X is 14. Y= 3 Xsquared + 17

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