Answer:
1. 19C8 = 75582
2. 19P8= 3047466240
Step-by-step explanation:
First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.
Combination:
When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582
Permutation:
When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.
Answer and Step-by-step explanation:
The way you complete this is by taking each points x and y and applying the translation. In this case the translation is x-7 and y+1.
Q's x and y are 1 , 1
R's x and y are 1 , 5
T's x and y are 5 , 1
S's x and y are 5 , 5
Now what you do is use the translation on all of these values.
Q's x and y turns into -6 , 2 (subtracted 7 to the 1 and added 1 to the 1)
R's x and y turns into -6 , 6
T's x and y are -2 , 2
S's x and y are -2 , 6
You can then plot the points on the graph and connect the lines to complete the reflection.
Hope this helps ! !
<3
1. This shape is called a parallelogram and it’s area formula is A=W*H, so you would plug in 12 1/3 for H and 17 1/5 for W. The answer would be 215yd.
2. This is a triangle and it’s area formula is A=1/2bh. Plug in 14 as H and 17 for b. The answer would be 119ft.
In a triangle, the nomenclature is that a variable side a is opposite of the angle A. we can use the cosine law to determine the value of cosine A.
a2 = b2 + c2 -2bc cos a25 = 36 + 64 - 2*6*8 * cos acos a = 25/32
There are 222 boys in the class. You find this by dividing 185 by 5 which gets you 37, so you have to multiply the 6 by 37 to find the amount of boys.
