Answer:
99°
Step-by-step explanation:
- m∠VUT = 10x + 9
- m∠BUT = 7x - 1
- m∠VUB = 37°
- m∠VUT = ?
<u>We see that</u>
- m∠VUT = m∠BUT + m∠VUT
- 10x + 9 = 7x - 1 + 37
- 10x - 7x = 36 - 9
- 3x = 27
- x = 9
<u>Angle VUT measures:</u>
-1 is your x intercept so the first point is going to be at (0,-1) and from there go up 1 and over to the right 2 and mark another point and so one
<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>
2/8.
You take two pizzas and divide them by 8.