<span>c.)11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
In order to compare, try to bring all of them into one similar form, like decimal.
Then, 11/9 = 1.22
Then, we can compare numbers under root, as 5 would be smaller than 11 which in turn is smaller than the 20, then 2^3 is 8, largest in series.
Hope this helps!</span>
<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>
No. Because 33 $ is the money deducted from the 60 $. Dawn bought everything for less than 60 $.
So, if Dawn purchases everything on the rack with a 30% discount and 15% coupon the total will indeed make 45%.
We have to take 100% - 45%= 55% to know the reduction number. Let's proceed to the calculations now.
100%= 60 $
1%=60/100
55%= 60/100 × 55 = 33 $
Now <u>NOTE</u><u>;</u><u> </u><u>33</u><u> </u><u>$</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>money</u><u> </u><u>reduced</u><u> </u><u>from</u><u> </u><u>the</u><u> </u><u>60</u><u> </u><u>$</u><u>.</u><u> </u><u>So</u><u>,</u><u> </u><u>logically</u><u>,</u><u> </u><u>33</u><u> </u><u>$</u><u> </u><u>isn't</u><u> </u><u>the</u><u> </u><u>amount</u><u> </u><u>which</u><u> </u><u>Dawn</u><u> </u><u>purchased</u><u> </u><u>the</u><u> </u><u>whole</u><u> </u><u>rack</u><u>. </u>
To find the amount at which she purchased everything, we need to do,
60 $ - 33 $ = 27 $
Answer:
around 190
Step-by-step explanation: