![\qquad \qquad\huge \underline{\boxed{\sf Answer}}](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%5Chuge%20%5Cunderline%7B%5Cboxed%7B%5Csf%20Answer%7D%7D)
Let's use Trigonometric relations to find the value of hypotenuse (x), in the given right angled Triangle.
![\qquad \sf \dashrightarrow \: \cos(45) = \dfrac{11}{{x}^{} }](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccos%2845%29%20%20%3D%20%20%5Cdfrac%7B11%7D%7B%7Bx%7D%5E%7B%7D%20%7D%20)
![\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{11}{x}](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Cdfrac%7B1%7D%7B%20%5Csqrt%7B2%7D%20%7D%20%20%3D%20%20%5Cdfrac%7B11%7D%7Bx%7D%20)
![\qquad \sf \dashrightarrow \: x = 11 \times \sqrt{2}](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20x%20%3D%2011%20%5Ctimes%20%20%5Csqrt%7B2%7D%20)
![\qquad \sf \dashrightarrow \:x = 11 \sqrt{2 \:} \: units](https://tex.z-dn.net/?f=%20%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3Ax%20%3D%2011%20%5Csqrt%7B2%20%5C%3A%7D%20%5C%3A%20units)
4 because if you add 4 to -5
Answer:
7.5 and 10.5
Step-by-step explanation:
You can use this equation
1/4 of 14 and 1/4 of 10
Those two are your answers
Divide the total by the number of pounds to get the price per pound, or the unit rate.
$2.99 ÷ 16 lb = 0.186875
Since 0.186875 isn't an accurate US dollar amount, round to nearest hundredth, 0.19.
The unit rate is <u>$0.19/lb.</u>
Answer:
.
Step-by-step explanation:
We are given the graph of a sinusoidal function.
From the graph we see that,
The given graph is represented by the function ![f(x)=\sin(3x)](https://tex.z-dn.net/?f=f%28x%29%3D%5Csin%283x%29)
<em>Now, 'If a function f(x) is of period P, then f(bx) has period
'.</em>
So, we get,
As,
have period
.
Then,
have period
i.e.
.
Since, 'Frequency is the reciprocal of the period',
We have,
Frequency of the given function is
.