Answer:
35, 39, 44, 52, 55, 57, 60, 69
Step-by-step explanation:
Composite numbers have multiple factors other than 1 and itself.
Answer:
f(-1)=3
Step-by-step explanation:
f(x)=x^2-6x+3x-1
f(x)=x^2-3x-1
f(-1)=(-1)^2-3(-1)-1
f(-1)=1+3-1
f(-1)=4-1
f(-1)=3
Option B:
25 degrees
Solution:
Given data in triangle PQR,
The side opposite to angle P is p.
The side opposite to angle Q is q.
The side opposite to angle R is r.
q = 36, r = 20, angle Q = 50°.
<u>To find the measure of angle R:</u>
Using law of sine,
![$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}](https://tex.z-dn.net/?f=%24%5Cfrac%7Ba%7D%7B%5Csin%20A%7D%3D%5Cfrac%7Bb%7D%7B%5Csin%20B%7D%3D%5Cfrac%7Bc%7D%7B%5Csin%20C%7D)
![$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7Bp%7D%7B%5Csin%20P%7D%3D%5Cfrac%7Bq%7D%7B%5Csin%20Q%7D%3D%5Cfrac%7Br%7D%7B%5Csin%20R%7D)
Take only two sides.
![$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7Bq%7D%7B%5Csin%20Q%7D%3D%5Cfrac%7Br%7D%7B%5Csin%20R%7D)
Substitute the given values.
![$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Cfrac%7B36%7D%7B%5Csin%2050%5E%5Ccirc%7D%3D%5Cfrac%7B20%7D%7B%5Csin%20R%7D)
Do cross multiplication.
![\Rightarrow36\times\sin R = \sin50^\circ\times20](https://tex.z-dn.net/?f=%5CRightarrow36%5Ctimes%5Csin%20R%20%3D%20%5Csin50%5E%5Ccirc%5Ctimes20)
sin 50° = 0.766
![\Rightarrow36\times\sin R = 0.766\times20](https://tex.z-dn.net/?f=%5CRightarrow36%5Ctimes%5Csin%20R%20%3D%200.766%5Ctimes20)
![\Rightarrow36\times\sin R = 15.32](https://tex.z-dn.net/?f=%5CRightarrow36%5Ctimes%5Csin%20R%20%3D%2015.32)
![$\Rightarrow\sin R = \frac{15.32}{36}](https://tex.z-dn.net/?f=%24%5CRightarrow%5Csin%20R%20%3D%20%5Cfrac%7B15.32%7D%7B36%7D)
![$\Rightarrow\sin R = 0.4255](https://tex.z-dn.net/?f=%24%5CRightarrow%5Csin%20R%20%3D%200.4255)
![$\Rightarrow R = \sin^{-1}(0.4255)](https://tex.z-dn.net/?f=%24%5CRightarrow%20R%20%3D%20%5Csin%5E%7B-1%7D%280.4255%29)
⇒ R = 25.18°
⇒ R = 25° (approximately)
Option B is the correct answer.
Hence the measure of angle R is 25 degrees.
The distance depends on the time.
So now we need to find the constant of variation or the constant of proportionality.
To do so we must find y(the dependent variable) and x(the independent variable).
To find the constant(k) we must find y/x
Since y/x=k
Then 2.25/.75=k
k=3
Yes it’s a rational number