<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.
Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm
The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:
1/12 *[2 *pi*r]=1/12*[12*pi]=pi
so the difference is 19pi
for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them
good luck</span><span>
</span>
GCF= 1
FACTORED VERSION = (X-1) (2X+3)(X+2)
5/7 x 7/3
Multiply the numerators together and the denominators:
(5 x 7) / (7 x 3)
35/21 reduces to 5/3 = 1 2/3
Answer:
Step-by-step explanation:
1). Since, m∠1 + m∠2 = 180° [Supplementary angles]
If m∠2 = 120°
m∠1 + 120° = 180°
m∠1 = 180° - 120°
m∠1 = 60°
2). If a transversal intersects two parallel lines on the top and middle,
∠1 and ∠5 will be corresponding angles.
3). Since, m∠1 = m∠5 = 60° (Corresponding angles)
Therefore, both the lines on top and middle will be parallel.
4). Since, m∠9 + m∠11 = 180° [Supplementary angles]
If m∠11 = 120°
m∠9 + 120° = 180°
m∠9 = 60°
Since, m∠1 = m∠9 = 60° [Corresponding angles]
Therefore, both the lines on the top and bottom shelves will be parallel.
5). Since, m∠5 = m∠9 = 60° [Corresponding angles]
Therefore, middle and bottom shelves will be parallel.
Answer:
its 24
kasi binabaliktad lang po ang year at value nya
