<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>
Answer:
x would be equal to 70 grades
Step-by-step explanation:
The angle QRS is equal to 180 - 130 = 50 grades.
We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:
60 + x + 50 = 180
x = 70
Hope this was helpful
Answer:
<em>Answer: a = - 12</em>
Step-by-step explanation:
We have here two equations, one 18x + 12y = 36, the other ax - 8y = - 24;
Now if we were to consider making these two equations have a common y co - efficient, we would multiply the top equation by 2, the bottom consecutively by - 3. This would make a standard 24y ;
2 * ( 18x + 12y = 36 ), ⇒ 36x + 24y = 72
+ - 3 * ( ax - 8y = - 24 ) + - 3ax + 24y = 72
As you can see, all terms are equivalent, besides that of the co - efficient of x. Knowing that, it would be ax must be multiplied by - 3 to receive 36x, as the bottom equation is multiplied by - 3, where all terms are equivalent to the top terms;
- 3 * ax ⇒ 36x, - 3 * - 12x = 36x,
<em>Answer: a = - 12</em>
Answer:
-4y=40
y=-10
x-3(-10)=17
x-30=17
x=17+30
x=47
Step-by-step explanation: