We are given the data of the minute hand traveling from 1:15 to 1:30 and a displacement of the hand by 15 cm. In this case. the arc length is the 15 cm while the angle of the sector can be derived from the clock times. The angle between <span>1:15 to 1:30 is approximately 90 degrees or pi/2. hence the radius can be computed from:
s = r theta
15 = r * pi/2
r = 9.55 cm</span>
Answer:
Four rational numbers between
and
are
,
,
and
.
Step-by-step explanation:
First, we calculate the distance between
and
:
![r = \frac{5}{3}-\left(-\frac{3}{2}\right)](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B5%7D%7B3%7D-%5Cleft%28-%5Cfrac%7B3%7D%7B2%7D%5Cright%29)
![r = \frac{5}{3}+\frac{3}{2}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B5%7D%7B3%7D%2B%5Cfrac%7B3%7D%7B2%7D)
![r = \frac{10+9}{6}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B10%2B9%7D%7B6%7D)
![r = \frac{19}{6}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B19%7D%7B6%7D)
Then, we find four rational numbers by using the following formula:
![x = -\frac{3}{2}+\left(\frac{n}{5})\cdot \left(\frac{19}{6} \right)](https://tex.z-dn.net/?f=x%20%3D%20-%5Cfrac%7B3%7D%7B2%7D%2B%5Cleft%28%5Cfrac%7Bn%7D%7B5%7D%29%5Ccdot%20%5Cleft%28%5Cfrac%7B19%7D%7B6%7D%20%5Cright%29)
First number (
)
![x_{1} = -\frac{13}{15}](https://tex.z-dn.net/?f=x_%7B1%7D%20%3D%20-%5Cfrac%7B13%7D%7B15%7D)
Second number (
)
![x_{2} = -\frac{7}{30}](https://tex.z-dn.net/?f=x_%7B2%7D%20%3D%20-%5Cfrac%7B7%7D%7B30%7D)
Third number (
)
![x_{3} = \frac{2}{5}](https://tex.z-dn.net/?f=x_%7B3%7D%20%3D%20%5Cfrac%7B2%7D%7B5%7D)
Fourth number (
)
![x_{4} = \frac{31}{30}](https://tex.z-dn.net/?f=x_%7B4%7D%20%3D%20%5Cfrac%7B31%7D%7B30%7D)
Answer:
(8,-2)
Explanation:
you reflect it over the x-axis
Answer:
2.37783 or 23.7783
Step-by-step explanation: