Answer:
![\boxed{\stackrel{\Large\frown}{PQS}\:= 222°}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%5C%3A%3D%20222%C2%B0%7D%20)
Explanation:
Since
is a diameter, arc ![\stackrel{\Large\frown}{PQR}\:= 180°.](https://tex.z-dn.net/?f=%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQR%7D%5C%3A%3D%20180%C2%B0.%20)
Given that
is a subtended central angle by two diameters,
.
Using the rule of arcs,
→
![180° + \: 42° = \: \stackrel{\Large\frown}{PQS}](https://tex.z-dn.net/?f=%20180%C2%B0%20%2B%20%5C%3A%2042%C2%B0%20%3D%20%5C%3A%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%20)
![222° = \: \stackrel{\Large\frown}{PQS}](https://tex.z-dn.net/?f=%20222%C2%B0%20%3D%20%5C%3A%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%20)
![\stackrel{\Large\frown}{PQS} \: = \: 222°](https://tex.z-dn.net/?f=%20%5Cstackrel%7B%5CLarge%5Cfrown%7D%7BPQS%7D%20%5C%3A%20%3D%20%5C%3A%20222%C2%B0%20)
Answer:
C) 15
Step-by-step explanation:
Here we have to use the combination to find the number of possible combinations.
Total number of classmates (n) = 6
We are selecting 2 individuals. So r = 2.
The combination formula nCr = ![\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Plug in n = 6 and r =2, in the above formula, we get
= ![\frac{6!}{2!(6-2)!}](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B2%21%286-2%29%21%7D)
= ![\frac{6!}{2!4!}](https://tex.z-dn.net/?f=%5Cfrac%7B6%21%7D%7B2%214%21%7D)
Simplifying the above factorial, we get
= 15
So the answer is C) 15
(8,5) because (6,5) is distance 2 from (6,3). So (8,5) will distance 2 from (8,3)
The total weight being carried is
3545 +1758 +3697 = 9000 . . . . . pounds
Each ton is 2000 pounds, so together the trucks are carrying
(9000 lb) × (1 t)/(2000 lb) = 4.5 t
Altogether, the 3 trucks are carrying 4.5 tons of topsoil.