Answer:
The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)
Hey!
Finding the factorial for the first few numbers, we have:
1!=1
2!=2
3!=6
4!=24
5!=120
6!=720
7!=720*7
8!=720*56
What we can see as a clear pattern from 5! and on is that our number ends with a 0, making the units digit 0. Therefore, when we add the units digit of 5! and on, we have a result of 0. So, we can simply add the units digits of 1!, 2!, 3!, and 4!, which is 1+2+6+4=13. Since the units digit is the last number, we can drop the tens place to get an answer of 3.
Feel free to ask further questions!
Answer: -60 > -160
Roberto has the higher final score.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
-60 is greater than -160, because -60 is father to the right than -160 on the number line (see attachment)
Since the direction of < and > always points towards the smallest number.
-60 > -160
Roberto has the higher final score.
Feel free to ask for more if needed or if you did not understand something.
Answer: The first card is a diamond and the second card is a heart. Both cards are hearts. Let H denote the event that a heart is drawn; let D denote the event that a diamond is drawn. The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw
Step-by-step explanation:
9(x + 3) = 108
First distribute the 9 to everything inside the parenthesis by multiplying them.
9x + 27 = 108
Now subtract 27 from both sides
9x + 27 (-27) = 108 (-27)
9x = 81
divide 9 from both sides
9x/9 = 81/9
x = 9
9x = 81
hope this helps